Prof. Richard H. Rand
rhr2@cornell.edu

 

 
Complete Publication Listing

 

 
 
 
 
  1. Axisymmetric Vibrations of Prolate Spheroidal Shells (PDF )
         F.DiMaggio, R.Rand
         J. Acoustical Soc. Am.  40:179-186  (1966)
  2. Vibrations of Fluid-Filled Spherical and Spheroidal Shells (PDF )
         R.Rand, F.DiMaggio
         J. Acoustical Soc. Am.  42:1278-1286  (1967)
  3. The Stability of the Triangular Points in the Elliptic Restricted Problem of Three Bodies
         K.T.Alfriend, R.H.Rand
         AAS paper no.68-090, presented at AAS/AIAA Astrodynamics Specialist Conference (1968)
  4. Torsional Vibrations of Elastic Prolate Spheroids (PDF )
         R.H.Rand
         J. Acoustical Soc. Am.  44:749-751  (1968)
  5. A Perturbation Solution for the Stability of the Triangular Points in the Elliptic Restricted Problem (PDF )
         K.T.Alfriend, R.H.Rand
         J. Astronautical Sciences  15:105-109  (1968)
  6. On the Stability of a Differential Equation with Application to the Vibrations of a Particle in the Plane (PDF )
         R.H.Rand, S.F.Tseng
         J. Applied Mechanics  36:311-313  (1969)
  7. Stability of the Triangular Points in the Elliptic Restricted Problem of Three Bodies (PDF )
         K.T.Alfriend, R.H.Rand
         AIAA J.  7:1024-1028  (1969)
  8. On the Stability of the Vibrations of Two Coupled Particles in the Plane (PDF )
         R.H.Rand, S.F.Tseng
         J. Applied Mechanics  36:417-419  (1969)
  9. On a Relation Between the Shape Factor and the Coefficient of Maximum Shear Stress in Beams
         R.H.Rand
         Bulletin Mech. Eng. Education  8:286  (1969)
  10. On the Stability of Hill's Equation with Four Independent Parameters (PDF )
           R.H.Rand
           J. Applied Mechanics  36:885-886  (1969)
  11. Vibratory Fruit Harvesting: A Linear Theory of Fruit-Stem Dynamics (PDF) 
           J.R.Cooke, R.H.Rand
           J. Agricultural Eng. Res.  14:195-209  (1969)
  12. On the Stability of a Differential Equation with Application to Parametrically Excited Systems
           R.H.Rand, H.Simon (PDF) 
           J. Applied Mechanics  37:218-220  (1970)
  13. On the Stability of the Vibrations of a Particle in the Plane Restrained by Two Non-Identical Springs (PDF) 
           R.H.Rand, S.F.Tseng
           Int. J. Nonlinear Mechanics  5:1-9  (1970)
  14. Vibratory Fruit Harvesting: A Nonlinear Theory of Fruit-Stem Dynamics (PDF) 
           R.H.Rand, J.R.Cooke
           J. Agricultural Eng. Res.  15:347-363  (1970)
  15. Nonlinear Normal Modes in Two Degree of Freedom Systems (PDF) 
           R.H.Rand
           J. Applied Mechanics  38:561  (1971)
  16. A Higher Order Approximation for Nonlinear Normal Modes in Two Degree of Freedom Systems (PDF) 
           R.H.Rand
           Int. J. Nonlinear Mechanics  6:545-547  (1971)
  17. Nonlinear Vibrations of Two Degree of Freedom Systems with Repeated Linearized Natural Frequencies (PDF) 
           R.Rand, R.Vito
           J. Applied Mechanics  39:296-297  (1972)
  18. A Mathematical Interpretation of Vibratory Fruit Harvesting: A Tutorial Paper (PDF) 
           J.R.Cooke, R.H.Rand
           ASAE paper no.72-567 presented at 1972 Winter meeting of ASAE
  19. Geometrical Dynamics: A New Approach to Periodic Orbits Around L4 (PDF) 
           R.Rand, W.Podgorski
           Celestial Mechanics  6:416-420  (1972)
  20. Nonlinear Normal Modes in Dynamical Systems with Non-Euclidean Metrics (PDF) 
           R.H.Rand, G.Nadig
           Proc. Fourth Canadian Congress Applied Mechanics, pp.519-520 (1973)
  21. The Geometrical Stability of Nonlinear Normal Modes in Two Degree of Freedom Systems (PDF) 
           R.H.Rand
           Int. J. Nonlinear Mechanics  8:161-168  (1973)
  22. A Mathematical Study of Resonance in Intact Fruits and Vegetables Using a 3-Media Elastic Sphere Model (PDF) 
           J.R.Cooke, R.H.Rand
         J. Agricultural Eng. Res.  18:141-157  (1973)
  23. A Direct Method for Nonlinear Normal Modes (PDF) 
         R.H.Rand
         Int. J. Nonlinear Mechanics  9:363-368  (1974)
  24. The Wheel Shimmy Problem: Its Relationship to Wheel and Road Irregularities (PDF) 
         W.A.Podgorski, A.I.Krauter, R.H.Rand
         Vehicle System Dynamics  4:9-41  (1975)
  25. Gaseous Diffusion in the Leaf Interior (PDF) 
         R.H.Rand
         A.  ASAE paper no.76-5528 presented at 1976 Winter meeting of ASAE
         B.  1977 Biomechanics Symposium, ASME Applied Mechanics Division Vol.23:51-53
         C.  Trans. ASAE  2O:701-704  (1977)
  26. A Finite Element Shell Analysis of Guard Cell Deformations (PDF) 
         J.R.Cooke, J.G.DeBaerdemaeker, R.H.Rand, H.A.Mang
         A.  ASAE paper no.76-5526 presented at 1976 Winter meeting of ASAE
         B.  Trans. ASAE  19:1107-1121  (1976)
  27. A Hydrodynamical Model of Bordered Pits in Conifer Tracheids (PDF) 
         D.C.Chapman, R.H.Rand, J.R.Cooke
         J. Theoretical Biology  67:11-24  (1977)
  28. Visual Perception, Invariants, Neural Nets
         H.D.Block, D.C.Lewis, R.H.Rand
         abstract in 1977 IEEE Int. Symp. Information Theory, p.85
  29. Fluid Dynamics of Phloem Flow: An Axisymmetric Model (PDF) 
         R.H.Rand, J.R.Cooke
         A.  ASAE paper no.77-5512 presented at 1977 Winter meeting of ASAE
         B.  Proc. First Mid-Atlantic Conf. on Bio-Fluid Mechanics, VPI, pp.53-62  (1978)
         C.  Trans. ASAE  21:898-900, 906  (1978)
  30. A Nonlinear Finite Element Analysis of Stomatal Guard Cells
         J.R.Cooke, R.H.Rand, H.A.Mang, J.G.DeBaerdemaeker
         ASAE paper no.77-5511 presented at 1977 Winter meeting of ASAE
  31. The Stability of Bifurcating Periodic Solutions in a Two Degree of Freedom Nonlinear System (PDF ) 
         L.A.Month, R.H.Rand
         J. Applied Mechanics  44:782-784  (1977)
  32. A Theoretical Analysis of CO2  Absorption in Sun Versus Shade Leaves (PDF ) 
         R.H.Rand
         J. Biomechanical Eng.  100:20-24  (1978)
  33. Nonlinear Normal Modes Generically Occur in Pairs in a Class of Two Degree of Freedom Systems
         T.L.Johnson, R.H.Rand
         in Abstracts of Eighth U.S. National Congress of Applied Mechanics, UCLA  (1978)
  34. The Dynamics of an Evaporating Meniscus (PDF ) 
         R.H.Rand
         Acta Mechanica  29:135-146  (1978)
  35. Mathematical Analysis of Intercellular Water Flow in Plant Material
         R.L.Stroshine, R.H.Rand, J.R.Cooke
         abstract in 1979 Workshop on Crop Simulation, Purdue Univ.  pp.21-22
  36. Limb Impulse Harvesting, Part I, Finite Element Analysis (PDF ) 
         S.K.Upadhyaya, J.R.Cooke, R.H.Rand
         A.  ASAE paper no.79-1054 presented at 1979 Summer meeting of ASAE
         B.  Trans. ASAE  24:856-863  (1981)
  37. On the Existence and Bifurcation of Minimal Normal Modes (PDF ) 
         T.L.Johnson, R.H.Rand
         Int. J. Nonlinear Mechanics  14:1-12  (1979)
  38. Mathematical Analysis of Pressure Chamber Efflux Curves (PDF ) 
         R.L.Stroshine, R.H.Rand, J.R.Cooke, J.M.Cutler, J.F.Chabot
         A. ASAE paper no.79-4585 presented at 1979 Winter meeting of ASAE
         B. Plant, Cell and Environment  8:7-18  (1985)
  39. Mathematical Analysis of Cell CO2 Exchange Under High CO2 Concentrations (PDF ) 
         T.R.Sinclair, R.H.Rand
         Photosynthetica  13:239-244  (1979)
  40. Diffusion Resistance Models (PDF ) 
         J.R.Cooke, R.H.Rand
         Chapter 5 in Predicting Photosynthesis for Ecosystem Models, Vol.I, eds. J.D.Hesketh, J.W.Jones, CRC Press, pp.93-121 (1980
  41. A Fluid-filled Spherical Shell Model of the Thermoelastic Behavior of Avian Eggs (PDF ) 
         S.K.Upadhyaya, J.R.Cooke, R.H.Rand
         A. ASAE paper no.80-3046 presented at 1980 Summer meeting of ASAE
         B. Journal of Ag. Eng. Research  32:95-109 (1985)
  42. An Application of the Poincare Map to the Stability of Nonlinear Normal Modes (PDF ) 
         L.A.Month, R.H.Rand
         J. Applied Mechanics  47:645-651  (1980)
  43. Fluid Dynamics of Phloem Flow:  Part II, An Approximate Formula (PDF ) 
         R.H.Rand, S.K.Upadhyaya, J.R.Cooke
         Trans. ASAE  23:581-585  (1980)
  44. A Comprehensive Model for CO2 Assimilation in Leaves (PDF ) 
         R.H.Rand, J.R.Cooke
         Trans. ASAE  23:601-608  (1980)
  45. Stomatal Dynamics (PDF ) 
         S.K.Upadhyaya, R.H.Rand, J.R.Cooke
         in 1980 Advances in Bioengineering, ed. V.C.Mow, ASME, pp.185-188
  46. A Mathematical Model of the Effects of CO2 on Stomatal Dynamics (PDF ) 
         S.K.Upadhyaya, R.H.Rand, J.R.Cooke
         A. ASAE paper no. 80-5517 presented at 1980 Winter meeting of ASAE
         B. J. Theoretical Biology  101:415-440 (1983)
  47. Bifurcation of Periodic Motions in Two Weakly Coupled van der Pol Oscillators (PDF ) 
         R.H.Rand, P.J.Holmes
         Int. J. Nonlinear Mechanics  15:387-399  (1980)
  48. The Role of Stomatal Oscillations on Transpiration, Assimilation and Water-Use Efficiency of Plants (PDF ) 
         S.K.Upadhyaya, R.H.Rand, J.R.Cooke
         A. ASAE paper no.81-4017 presented at 1981 Summer meeting of ASAE
         B. Ecological Modeling  41:27-40  (1988)
  49. Variation in Young's Modulus Along Apple Limbs (PDF ) 
         S.K.Upadhyaya, J.R.Cooke, R.H.Rand
         A. ASAE paper no.81-3038 presented at 1981 Summer meeting of ASAE
         B. Trans. ASAE  30:1501-1505  (1987)
  50. A Finite Element Analysis of the Mechanical and Thermal  
         Strength of Avian Eggs
         S.K.Upadhyaya, J.R.Cooke, R.H.Rand
         A. ASAE paper no.81-3042 presented at 1981 Summer meeting of ASAE
         B. Journal of Ag. Eng. Research  33:57-78 (1986)
  51. Hopf Bifurcation in a Stomatal Oscillator (PDF )
         R.H.Rand, S.K.Upadhyaya, J.R.Cooke, D.W.Storti
         J. Math. Biology  12:1-11  (1981)
  52. The Nature of the Coupling Between Segmental Oscillators of the Lamprey Spinal Generator for Locomotion: A Mathematical Model (PDF )
         A.H.Cohen, P.J.Holmes, R.H.Rand
         J. Math. Biology  13:345-369  (1982)
  53. Coupled Oscillators as a Model for Nonlinear Parametric Excitation (PDF )
         C.A.Holmes, R.H.Rand
         Mechanics Res. Comm.  8:263-268  (1981)
  54. Effect of CO2  Enrichment on Greenhouse Crop Production
         S.K.Upadhyaya, J.R.Cooke, R.H.Rand
         ASAE paper no.81-4524 presented at 1981 Winter meeting of ASAE
  55. Dynamics of Fruit Tree Trunk Impact (PDF )
         S.K.Upadhyaya, R.H.Rand, J.R.Cooke
         Trans. ASAE  24:846-855  (1981)
  56. Phase Locked Motions of Weakly Coupled Limit Cycle Oscillators
         W.L.Keith, R.H.Rand
         in Abstracts of Ninth U.S. National Congress of Applied Mechanics, Cornell Univ.  45 (1982)
  57. Bifurcation of 4:1 Subharmonics in the Nonlinear Mathieu Equation (PDF )
         L.A.Month, R.H.Rand
         Mechanics Res. Comm.  9:233-240  (1982)
  58. Dynamics of Two Strongly Coupled Van der Pol Oscillators (PDF )
         D.W.Storti, R.H.Rand
         Int. J. Nonlinear Mechanics  17:143-152  (1982)
  59. Dynamics of Coupled Stomatal Oscillators (PDF )
         R.H.Rand, D.W.Storti, S.K.Upadhyaya, J.R.Cooke
         J. Math. Biology  15:131-149  (1982)
  60. Fluid Mechanics of Green Plants (PDF )
         R.H.Rand
         Ann. Rev. Fluid Mech.  15:29-45  (1983)
  61. muMath Fix
         R.H.Rand
         letter in 80 Micro 40:16 (1983)
  62. Book Review of "Classical Mechanics" by E.A.Desloge
         R.H.Rand
         J. Applied Mechanics  50:478 (1983)
  63. Book: Computer Algebra in Applied Mathematics: An Introduction to MACSYMA
         R.H.Rand
         Research Notes in Mathematics No.94, 181pp.
         Pitman Publishing Inc.  (1984)
  64. The Coordinating System of the Lamprey Central Pattern Generator for Locomotion
         A.H.Cohen, R.H.Rand
         in Program Abstract Book for Symposium on Mathematics and Computers in Biomedical Applications, National Institutes of Health Publication No. 84-2705, p.17 (1984)
  65. Parametric Stiffness Control of Flexible Structures (PDF )
         F.C.Moon, R.H.Rand
         in Proceedings of the Workshop on Identification and Control of Flexible Space Structures, G. Rodriguez, ed., NASA JPL Publication 85-29, Vol.II, pp.329-342, (1985)
  66. 1:1 and 2:1 Phase Entrainment in a System of Two Coupled Limit Cycle Oscillators (PDF )
         W.L.Keith, R.H.Rand
         J. Math. Biology  20:133-152 (1984)
  67. Normal Form and Center Manifold Calculations on MACSYMA (PDF )
         R.H.Rand, W.L.Keith
         A. abstract in 188th Natl Meeting Amer. Chemical Soc.,Phila., Aug.26-31, 1984
         B. in "Applications of Computer Algebra", R. Pavelle, ed., Kluwer Academic Publishers, 309-328 (1985)
  68. Derivation of the Hopf Bifurcation Formula using Lindstedt's (PDF )
         Perturbation Method and MACSYMA
         R.H.Rand
         A. abstract in 188th Natl Meeting Amer. Chemical Soc.,Phila., Aug.26-31, 1984
         B. in "Applications of Computer Algebra", R. Pavelle, ed., Kluwer Academic Publishers, 293-308 (1985)
  69. Stability of A Rigid Body with an Oscillating Particle: An Application of MACSYMA (PDF )
         L.A.Month, R.H.Rand
         A. ASME paper no. 85-APM-28, presented at Joint ASME/ASCE Applied Mechanics, Bioengineering, and Fluids Engineering Conference, Albuquerque, N.M., June 24-26, 1985
         B. Journal of Applied Mechanics  52:686-692 (1985)
  70. Eye Movements and Enhancement of Edges (PDF )
         S.D.Woods, R.H.Rand, H.D.Block, D.C.Lewis
         J. Math. Biology  21:273-283 (1985)
  71. Dynamics of Stomate Fields in Leaves (PDF )
         R.H.Rand, J.L.Ellenson
         A. abstract in 151st National Meeting AAAS, Los Angeles, May 26-31, 1985, p.34
         B. in Lectures on Mathematics in the Life Sciences, Vol. 18, Some Mathematical Questions in Biology - Plant Biology, ed. L. Gross, pp.51-86, Amer.Math.Soc., Providence R.I. (1986)
  72. Dynamics of Two Strongly Coupled Relaxation Oscillators (PDF )
         D.W.Storti, R.H.Rand
         SIAM J. Applied Math. 46:56-67 (1986)
  73. Dynamics of a System Exhibiting the Global Bifurcation of a Limit Cycle at Infinity (PDF )
         W.L.Keith, R.H.Rand
         International J. Nonlinear Mechanics 20:325-338 (1985)
  74. Determinacy of Degenerate Equilibria with Linear Part x'=y, y'=0 Using MACSYMA (PDF)
         R.H.Rand, W.L.Keith
         Applied Mathematics and Computation 21:1-19 (1987)
  75. Numerical Corrections of Wu's Coefficients for Scattering of High-Frequency Waves from Spheres and Cylinders (PDF )
         I.G.Lisle, J.Y.Parlange, R.H.Rand, M.B.Parlange, W.L.Hogarth, R.D.Braddock, H.P.Gottlieb
         Physical Review Letters  55:555-557 (1985)
  76. Teaching Engineering Analysis Using Symbolic Algebra and Calculus (PDF )
         R.H.Lance, R.H.Rand, F.C.Moon
         Engineering Education 76:97-101 (1985)
  77. The Transition from Phase Locking to Drift in a System of Two Weakly Coupled Van der Pol Oscillators (PDF )
         T.Chakraborty, R.H.Rand
         A. abstract in Fourth Army Conference on Applied Mathematics and Computing, May 27-30, 1986, Cornell University
         B. in Transactions of Fourth Army Conference on Applied Mathematics and Computing, ARO Report 87-1, 1003-1018 (1987)
         C. International J. Nonlinear Mechanics 23:369-376 (1988)
  78. Stomatal Dynamics in the Leaves of Green Plants (PDF )
         R.H.Rand
         A. abstract in Tenth U.S. National Congress of Applied Mechanics, June 16-20, 1986, University of Texas at Austin
         B. Proceedings of the Tenth U.S. National Congress of Applied Mechanics, J.P.Lamb editor, pp.69-76, Amer.Soc.Mech Eng., (1987)
  79. Water Movement in Soils - The Role of Analytical Solutions
         J.Y.Parlange, R.Haverkamp, R.H.Rand, L.Rendon, G.H.Schmitz
         A. abstract in 78th Annual Meeting American Soc. Agronomy, Nov.30-Dec.5,1986, New Orleans, p.161
         B. in Future Developments in Soil Science Research,pp.11-21, Soil Science Society of America (1987)
  80. Computer Algebra Applications Using MACSYMA
         R.H.Rand
         A. abstract in 19th Symposium on the Interface: Computer Science and Statistics, March 8-11,1987, Philadelphia, p.56
         B. in Proceedings of 19th Symposium on the Interface: Computer Science and Statistics, March 8-11,1987, Philadelphia, Ed. R.M.Heiberger, American Statistical Association, Alexandria VA, pp.231-236 (1987)
     
  81. Lie Transforms Applied to a Nonlinear Parametric Excitation Problem (PDF )
         J.L.Len, R.H.Rand
         A. abstract in Fifth Army Conference on Applied Mathematics and Computing, June 15-18, 1987, West Point
         B. in Transactions of Fifth Army Conference on Applied Mathematics and Computing, ARO Report 88-1, 1-27 (1988)
         C. International J. Nonlinear Mechanics 23:297-313 (1988)
  82. Book: Perturbation Methods, Bifurcation Theory and Computer Algebra (PDF)
         R.H.Rand, D.Armbruster
         Applied Mathematical Sciences No.65, 243 pp.
         Springer Verlag (1987)
  83. A Simplified Model of Coupled Relaxation Oscillators (PDF )
         D.Storti, R.H.Rand
         International J. Nonlinear Mechanics 22:283-289 (1987)
  84. Systems of Coupled Oscillators as Models of Central Pattern Generators (PDF )
         R.H.Rand, A.H.Cohen, P.J.Holmes
         Chapter 9 in Neural Control of Rhythmic Movements in Vertebrates, Ed. A.H.Cohen, 333-368, John Wiley and Sons (1988)
  85. Computer Algebra Implementation of Lie Transforms for Hamiltonian Systems:  Application to the Nonlinear Stability of L4 (PDF )
         V.T.Coppola, R.H.Rand
         A. abstract in Sixth Army Conference on Applied Mathematics and Computing, May 31-June 3, 1988, University of Colorado at Boulder
         B. abstract in Applications of Computer Technology to Dynamical Astronomy, IAU Colloquium 109, July 27-29, 1988, Gaithersburg, Maryland
         C. in Transactions of Sixth Army Conference on Applied Mathematics and Computing, ARO Report 89-1, 607-638 (1989)
         D. Celestial Mechanics 45:103-104 (1989)
         E. Z.angew.Math.Mech. (ZAMM) 69:275-284 (1989)
  86. Symbolic Computation and Perturbation Methods using Elliptic Functions  
         V.T.Coppola, R.H.Rand
         A. abstract in Sixth Army Conference on Applied Mathematics and Computing, May 31-June 3, 1988, University of Colorado at Boulder
         B. in Transactions of Sixth Army Conference on Applied Mathematics and Computing, ARO Report 89-1, 639-676 (1989)
  87. Integrability of Plane Quadratic Vector Fields (PDF )
         D.Schlomiuk, J.Guckenheimer, R.Rand
         A. Rapports de Recherche du Department de Mathematiques et de Statistique, Universite de Montreal, D.M.S. No.88-8 (1988)
         B. Expositiones Mathematicae 8:3-25 (1990)
  88. Subharmonic Entrainment of a Forced Relaxation Oscillator (PDF )
         D.Storti, R.H.Rand
         International J. Nonlinear Mechanics 23:231-239 (1988)
  89. The Use of Symbolic Computation in Perturbation Analysis (PDF )
         R.H.Rand
         in Symbolic Computation in Fluid Mechanics and Heat Transfer ed. H.H.Bau et al., ASME publication HTD-105/AMD-97, pp.41-45 (1988)
  90. The Transition to Chaos in a Simple Mechanical System (PDF )
         S.W.Shaw, R.H.Rand
         International J. Nonlinear Mechanics 24:41-56 (1989)
     
  91. Book Review of "Manifolds and Mechanics" by A.Jones, A.Gray and R.Hutton
         R.H.Rand
         SIAM Review 31:157-158 (1989)
  92. Analytical Approximation for Period-Doubling Following a Hopf Bifurcation (PDF )
         R.H.Rand
         Mechanics Research Communications 16:117-123 (1989)
  93. Computer Algebra and the Elliptic Restricted Problem of Three Bodies (PDF )
         R.H.Rand, B.Viswanadham
         in Proceedings of Twelfth Canadian Congress of Applied Mechanics, May 28-June 2, 1989, Carleton University, Ottawa, pp.248-249
  94. Degenerate Homoclinic Cycles in Perturbations of Quadratic Hamiltonian Systems (PDF )
         J.Guckenheimer, R.Rand, D.Schlomiuk
         Nonlinearity 2:405-418 (1989)
  95. Perturbation Methods and Computer Algebra (PDF )
         R.Rand
         Chapter 6 in Symbolic Computation: Applications to Scientific Computing, ed. R.Grossman, SIAM, pp.139-151 (1989)
  96. Resonance in a High-Speed Flexible-Arm Robot (PDF )
         M.F.Golnaraghi, F.C.Moon, R.H.Rand
         Dynamics and Stability of Systems 4:169-188 (1989)
  97. Analytical Model of Corneal Surgery (PDF 1, 2 )
         H.C.Howland, R.H.Rand, S.L.Lubkin
         A. abstract in Investigative Opthamology and Visual Science 31:481 (1990)
         B. J.Biomechanical Eng. 113:239-241 (1991)
         C. abstract in Proceedings of 1991 Optical Society of America Annual Meeting, Nov.3-8,1991 San Jose,CA, p.103
         D. Refractive and Corneal Surgery 8:183-186 (1992)
  98. Computer Algebra, Elliptic Functions and Chaos(PDF )
         V.T.Coppola, R.H.Rand
         in Proceedings of 1990 ASME International Computers in Engineering Conference, Vol.1, pp.193-200, Amer.Soc.Mech.Eng. (1990)
  99. Averaging Using Elliptic Functions: Approximation of Limit Cycles (PDF )
         V.T.Coppola, R.H.Rand
         Acta Mechanica 81:125-142 (1990)
  100. Bifurcations and Chaos in a Forced Zero-Stiffness Impact Oscillator (PDF )
          G.X.Li, R.H.Rand, F.C.Moon
          International J. Nonlinear Mechanics 25:417-432 (1990)
     
  101. Spinup Through Resonance of Rotating Unbalanced Systems with Limited Torque (PDF)
          R.J.Kinsey, D.L.Mingori, R.H.Rand
          AIAA paper no. 90-2966 in Proceedings of AIAA/AAS Astrodynamics Conference, Aug.20-22,1990, Portland,OR, Part 2, pp.805-813
  102. Using Computer Algebra to Handle Elliptic Functions in the Method of Averaging (PDF )
          R.H.Rand
          in Symbolic Computations and Their Impact on Mechanics, eds. A.K.Noor, I.Elishakoff, G.Hulbert, pp.311-326, Amer.Soc.Mech.Eng., PVP-Vol.205, (1990)
  103. MACSYMA Program to Implement Averaging Using Elliptic Functions (PDF )
          V.T.Coppola, R.H.Rand
          in Computer Aided Proofs in Analysis, eds. K.R.Meyer and D.S.Schmidt, pp.71-89, Springer Verlag (1991)
  104. Chaos in a System with a Periodically Disappearing Separatrix (PDF )
          V.T.Coppola, R.H.Rand
          Nonlinear Dynamics 1: 401-420 (1990)
  105. Chaotic Motions of a Constrained Pipe Conveying Fluid: Comparison Between Simulation, Analysis, and Experiment (PDF )
          M.P.Paidoussis, G.X.Li, R.H.Rand
          A. ASME paper no. 91-APM-36, presented at Joint Applied Mechanics/Bioengineering Conference, Columbus, OH, June 16-19, 1991
          B. J.Applied Mechanics 58:559-565 (1991)
  106. Spinup Dynamics of Axial Dual-Spin Spacecraft (PDF )
          C.D.Hall, R.H.Rand
          A. AAS paper no. 91-403 in Proceedings of AAS/AIAA Astrodynamics Conference, Aug.19-22,1991, Durango,CO
          B. in Astrodynamics 1991, Vol.76, Advances in the Astronautical Sciences, eds. B.Kaufman, K.T.Alfriend, R.L.Roehrich, R.R.Dasenbrock, pp.641-660, Am.Astronautical Soc. (1992)
          C. J.Guidance,Control and Dynamics, 17:30-37 (1994)
  107. Global Dynamics of a Two-Degree of Freedom System with Nonlinear Normal Modes      
          A.F.Vakakis, R.H.Rand
          Engineering Science Preprints-28, no. ESP28.91004 28th Annual Technical Meeting of the Society of Engineering Science, Nov.6-8,1991, Gainesville, FL
  108. Dynamics of Spinup Through Resonance (PDF )
          R.H.Rand, R.J.Kinsey, D.L.Mingori
          International J. Nonlinear Mechanics 27:489-502 (1992)
  109. Bruno's Days at Cornell (in honor of B.A.Boley's 65th birthday)(PDF )
          R.H.Rand
          J.Thermal Stresses 15:v-vii (1992)
  110. Normal Modes and Global Dynamics of a Two-Degree of Freedom Nonlinear System - I. Low Energies (PDF )
          A.F.Vakakis, R.H.Rand
          International J. Nonlinear Mechanics 27:861-874 (1992)

     
  111. Normal Modes and Global Dynamics of a Two-Degree of Freedom Nonlinear System - II. High Energies (PDF )
          A.F.Vakakis, R.H.Rand
          International J. Nonlinear Mechanics 27:875-888 (1992)
  112. Free Vibrations of a Thin Elastica by Normal Modes (PDF )
          C.H.Pak, R.H.Rand, F.C.Moon
          Nonlinear Dynamics 3:347-364 (1992)
  113. Bifurcation of Nonlinear Normal Modes in a Class of Two Degree of Freedom Systems (PDF )
          R.H.Rand, C.H.Pak, A.F.Vakakis
          Acta Mechanica [Suppl] 3:129-145 (1992)
  114. Chaos and Symbol Sequences in Systems with a Periodically-Disappearing Figure-Eight Separatrix (PDF )
          J.Bridge, R.Rand
          in Bifurcation Phenomena and Chaos in Thermal Convection, eds. H.H.Bau, L.A.Bertram, S.A.Korpela, pp.47-55, Amer.Soc.Mech.Eng., HTD-Vol.214, (1992)
  115. The Dynamics of Resonant Capture (PDF )
          D.Quinn, R.Rand, J.Bridge
          A. abstract in Final Program for Joint Meeting of American and Mexican Mathematical Societies, Merida, Mexico, December 1-4, 1993, p.31
          B. abstract in Program for Fifth Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures, VPISU, Blacksburg VA, June 12-16, 1994
          C. Nonlinear Dynamics 8:1-20 (1995)
  116. Book: Topics in Nonlinear Dynamics with Computer Algebra
          R.H.Rand
          229pp., Gordon and Breach (1994)
  117. Nonlinear Controller to Reduce Resonance Effects During Despin of a Dual-Spin Spacecraft through Precession Phase Lock (PDF )
          R.J.Kinsey, D.L.Mingori, R.H.Rand
          A. Proceedings of the 31st Conference on Decision and Control Tucson, Arizona, Dec.16-18, 1992, Vol.4, pp.3025-3030
          B. J.Guidance,Control,and Dynamics 19:60-67 (1996)
  118. Oscillatory Reaction-Diffusion Equations on Rings (PDF )
          S.Lubkin, R.Rand
          J.Math.Biol. 32:617-632 (1994)
  119. Perturbation Methods and Computer Algebra in Mechanics (PDF )
          R.H.Rand
          in Computerized Symbolic Manipulation in Mechanics, International Centre for Mechanical Sciences, CISM Courses and Lectures No.343, ed.E.Kreuzer, pp.149-199, Springer-Verlag (1994)
  120. Resonant Capture in a System of Two Coupled Homoclinic Oscillators (PDF )
          R.H.Rand, D.D.Quinn
          A. in Nonlinear and Stochastic Dynamics, eds.A.K.Bajaj, N.S.Namachchivaya, R.A.Ibrahim, pp.249-267, Amer.Soc.Mech.Eng., AMD-Vol.192, DE-Vol.78 (1994)
          B. J.Vibration and Control 1:41-56 (1995)

     
  121. A Perturbation Approach to Resonant Capture (PDF )
          D.D.Quinn, R.H.Rand
          Chapter 6 in Smart Structures, Nonlinear Dynamics and Control, eds. A.Guran and D.J.Inman, pp.226-246, Prentice Hall (1995)
  122. Limited Torque Spinup of an Unbalanced Rotor on an Elastic Support (PDF)
          R.J.Kinsey, D.L.Mingori, R.H.Rand
          Proceedings of the 1995 American Control Conference, Seattle, Washington, June 21-23, 1995, Vol.6, pp.4368-4373
  123. Dynamics of a Nonlinear Parametrically-Excited Partial Differential Equation (PDF )
          R.H.Rand, W.I.Newman, B.C.Denardo, A.L.Newman
          A. Proceedings of the 1995 Design Engineering Technical Conferences, Vol.3, Part A, "Vibration of Nonlinear, Random and Time-Varying Systems", Boston, Mass, Sept.17-20, 1995, American Soc.Mech.Engineers, DE-Vol.84-1, pp.57-68
          B. Chaos 9:242-253 (1999)
  124. A Quasiperiodic Mathieu Equation (PDF)
          R.Rand, R.Hastings
          Proceedings of the 1995 Design Engineering Technical Conferences, Vol.3, Part A, "Vibration of Nonlinear, Random and Time-Varying Systems", Boston, Mass, Sept.17-20, 1995, American Soc.Mech.Engineers, DE-Vol.84-1, pp.747-758
  125. Fluid Mechanics in Plant Biology (PDF )
         R.H.Rand, J.R.Cooke
         in Handbook of Fluid Dynamics and Fluid Machinery,vol.III: Application of Fluid Dynamics, Eds.J.A.Schetz, A.E.Fuhs, pp.1921-1938, John Wiley and Sons (1996)
  126. Dynamics of a Nonlinear Parametrically-Excited PDE: 2-Term Truncation (PDF )
         R.H.Rand
         Mechanics Research Communications 23: 283-289 (1996)
  127. Book Review of "Applied Nonlinear Dynamics: Analytical, Computational and Experimental Methods" by A.Nayfeh and B.Balachandran
         R.H.Rand
         SIAM Review 38:350-352 (1996)
  128. Synchronous Locking of Tidally Evolving Satellites (PDF )
         B.Gladman, D.D.Quinn, P.Nicholson, R.Rand
         Icarus 122:166-192 (1996)
  129. Book Review of "Perturbation Methods in the Computer Age", by D.C.Wilcox
         R.H.Rand
         SIAM Review 38:539-540 (1996)
  130. Transition Curves in the Quasiperiodic Mathieu Equation (PDF1,2)
         R.S.Zounes, R.H.Rand
         A. in Nonlinear Dynamics and Controls, eds.A.K.Bajaj, N.S.Namachchivaya, M.A.Franchek, pp.1-6, Amer.Soc.Mech.Eng., DE-Vol.91 (1996)
         B. Abstract in Fourth SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, May 18-22, 1997, pp.81-82.
         C. SIAM J.Appl.Math. 58:1094-1115 (1998)
         (
    http://epubs.siam.org/sam-bin/dbq/article/30387).
  131. A Mathematical Model of a Placido Disk Keratometer and its Implications for Recovery of Corneal Topography (PDF )
         R.Rand, R.A.Applegate, H.C.Howland
         A. Proceedings of "Vision Science and Its Applications" Conference, Santa Fe, NM, Jan.31-Feb.2,1997, 1997 OSA Technical Digest Series, Vol.1, Optical Society of America
         B. Optometry and Vision Science 74:926-930 (1997).
  132. Impact Dynamics of a Supercavitating Underwater Projectile (PDF )
         R.Rand, R.Pratap, D.Ramani, J.Cipolla, I.Kirschner
         A. Paper Pre-Prints for Third International Symposium on Performance Enhancement for Marine Applications, Newport, RI, May 5-8,1997, pp.175-183
         B. Proceedings of the Third International Symposium on Performance Enhancement for Marine Applications, Newport, RI, May 5-8,1997, pp.215-223
         C. Proceedings of the 1997 ASME Design Engineering Technical Conferences, 16th Biennial Conference on Mechanical Vibration and Noise, Sacramento, CA,  Sept. 14-17, 1997, paper no.DETC97/VIB-3929 (CD-ROM)
  133. Modeling the Pumping of a Swing (PDF )
         S.Wirkus, R.Rand, A.Ruina
         A. Newsletter for the Consortium for Ordinary Differential Equations Experiments (CODEE), Winter-Spring 1997, pp.7-11
         B. The College Mathematics Journal 29:266-275 (1998)
  134. Dynamics of a Quasiperiodically Forced Mathieu Oscillator (PDF )
         R.Rand, R.Zounes, R.Hastings
         A. Abstract in IUTAM CHAOS '97 conference abstracts, July 27-Aug.1, 1997, Cornell University, pp.74,75
         B. Chapter 9 in "Nonlinear Dynamics: The Richard Rand 50th Anniversary Volume", A.Guran, ed. World Scientific Pub.Co. pp.203-221 (1997)
         C. in IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics, ed.F.C.Moon, Kluwer Academic Pubs., pp.61-70 (1998)
  135. Nonlinear Modal Analysis of a Cracked Beam (PDF )
         M.Chati, R.H.Rand, S.Mukherjee
         A. Proceedings of the 1997 ASME Design Engineering Technical Conferences, 16th Biennial Conference on Mechanical Vibration and Noise, Sacramento, CA, Sept. 14-17, 1997, paper no.DETC97/VIB-3950 (CD-ROM)
         B. J.Sound and Vibration 207:249-270 (1997)
  136. The Dynamics of the Celt with Second Order Averaging and Computer Algebra (PDF )
         A.D.Blackowiak, R.H.Rand, H.Kaplan
         Proceedings of the 1997 ASME Design Engineering Technical Conferences, 16th Biennial Conference on Mechanical Vibration and Noise, Sacramento, CA, Sept. 14-17, 1997, paper no.DETC97/VIB-4103 (CD-ROM)
  137. Dynamics of Two Coupled van der Pol Oscillators with Delay Coupling (PDF1,2 )
         S.Wirkus, R.Rand
         A. Proceedings of the 1997 ASME Design Engineering Technical Conferences, 16th Biennial Conference on Mechanical Vibration and Noise, Sacramento, CA, Sept. 14-17, 1997, paper no.DETC97/VIB-4019 (CD-ROM)
         B. Proceedings of the 1999 ASME Design Engineering Technical Conferences, 17th Biennial Conference on Mechanical Vibration and Noise, Las Vegas, NV, Sept. 12-15, 1999, paper no.DETC99/VIB-8318 (CD-ROM)
         C. Nonlinear Dynamics 30:205-221 (2002)
  138. Relaxation Oscillations in Tidally Evolving Satellites (PDF )
         D.Quinn, B.Gladman, P.Nicholson, R.Rand
         Celestial Mechanics and Dynamical Astronomy 67:111-130 (1997)
  139. Book Review of "Normal Modes and Localization in Nonlinear Systems" by A.F.Vakakis, L.I.Manevitch, Y.V.Mikhlin, V.N.Pilipchuk and A.A.Zevin
         R.H.Rand
         SIAM Review 39:544-546 (1997)
  140. Resonant Capture and Separatrix Crossing in Dual-Spin Spacecraft (PDF )
         R.Haberman, R.Rand, T.Yuster
         Nonlinear Dynamics 18:159-184 (1999)

     
  141. Nonlinear Normal Modes in a System with Nonholonomic Constraints (PDF1,2 )
         R.H.Rand, D.V.Ramani
         A. Abstract in Fifth SIAM Conference on Applications of Dynamical Systems, May 23-27, 1999, Utah, p.121.
         B. paper presented at the 1999 ASME Design Engineering Technical Conferences, 17th Biennial Conference on Mechanical Vibration and Noise, Las Vegas, NV, Sept. 12-15, 1999, paper no.DETC99/VIB-8174
        C. Nonlinear Dynamics 25:49-64 (2001)
  142. Sequences of Orbits and the Boundaries of the Basin of Attraction for Two Double (PDF )
         Heteroclinic Orbits
         R.Haberman, R.Rand
         International J. Nonlinear Mechanics 34:1047-1059 (1999)
  143. Nonlinear Dynamics of the Bombardier Beetle (PDF )
         R.H.Rand, E.T.Wirkus, J.R.Cooke
         Proceedings of the 1999 ASME Design Engineering Technical Conferences, 17th Biennial Conference on Mechanical Vibration and Noise, Las Vegas, NV, Sept. 12-15, 1999, paper no.DETC99/VIB-8011 (CD-ROM)
  144. On the Torus Flow Y'=A+B COS Y+C COS X and its Relation to the Quasiperiodic Mathieu Equation (PDF)
         S.Mason, R.Rand
         Proceedings of the 1999 ASME Design Engineering Technical Conferences, 17th Biennial Conference on Mechanical Vibration and Noise, Las Vegas, NV, Sept. 12-15, 1999, paper no.DETC99/VIB-8052 (CD-ROM)
  145. Theoretical Study of a Submarine Towed-Array Lifting Device (PDF 1, 2 )
         R.H.Rand, D.V.Ramani, W.L.Keith, K.M.Cipolla
         A. Proceedings of the UDT (Underwater Defense Technology) Europe 2000 Conference, June 27-29, 2000, Wembley Conference Centre, London UK (CD-ROM)
         B. Proceedings of the 2000 ASME International Mechanical Engineering Congress and Exposition, Nov.5-10, 2000, Orlando, FL, in AD-Vol.61 ``Control of Vibration and Noise: New Millenium", eds. H.Tzou, M.Golnaraghi, C.Radcliffe, pp.39-50, ASME (2000)
  146. The Dynamics of Resonant Capture (PDF )
         R.Rand
         Proceedings of the First International Symposium on Impact and Friction of Solids, Structures and Intelligent Machines, June 27-30, 1998, Ottawa,
         pp.91-94, World Scientific (2000)
  147. Relaxing Nonholonomic Constraints (PDF )
         R.Rand and D.Ramani
         Proceedings of the First International Symposium on Impact and Friction of Solids, Structures and Intelligent Machines, June 27-30, 1998, Ottawa,
         pp.113-116, World Scientific (2000)
  148. Bifurcations in a Mathieu Equation with Cubic Nonlinearities (PDF1,2 )
         L.Ng and R.Rand
         A. Proceedings of the 2000 ASME International Mechanical Engineering Congress and Exposition, Nov.5-10, 2000, Orlando, FL, in AMD-Vol.241 ``Nonlinear Dynamics and Stochastic Mechanics", eds. W.Xie, N.Namachchivaya, B.Balachandran, pp.1-12, ASME (2000)
        B. Chaos, Solitons and Fractals 14:173-181 (2002)
  149. Dynamics of Two Time-Delay Coupled Relaxation Oscillators of the van der Pol Type (PDF1, 2 )
         A.K.Sen and R.H.Rand
         A. Proceedings of the 2000 ASME International Mechanical Engineering Congress and Exposition, Nov.5-10, 2000, Orlando, FL, in DE-Vol.108/DSC-Vol.68 ``Dynamics, Acoustics and Simulations", eds. R.Han, K.Lee, A.Luo, pp.53-60, ASME (2000)
         B. Comm. Pure Applied Analysis 2:567-577 (2003)
  150. A Mathematical Model of a Retinal Oscillator (PDF )
         R.H.Rand, E.T.Wirkus, T.Li, H.C.Howland
         Proceedings of the 2000 ASME International Mechanical Engineering Congress and Exposition, Nov.5-10, 2000, Orlando, FL, in BED-Vol.48 ``2000 Advances in Bioengineering" ed. T.Conway, pp.89-90, ASME (2000)

     
  151. Pattern Formation in a Parametrically-Excited P.D.E. (PDF )
         M.D.Stubna and R.H.Rand
         Proceedings of the 2001 ASME Design Engineering Technical Conferences, 18th Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA, Sept. 9-12, 2001, paper no.DETC2001/VIB-21401 (CD-ROM)
  152. Dynamics of Towed Cables During Transient Motions (PDF )
         L.Ng, R.Rand and W.Keith
         Proceedings of the 2001 ASME Design Engineering Technical Conferences, 18th Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA, Sept. 9-12, 2001, paper no.DETC2001/VIB-21438 (CD-ROM)
  153. Perturbation Solution for Secondary Bifurcation in the Quadratically-Damped Mathieu Equation (PDF )
         D.V.Ramani, R.H.Rand and W.L.Keith
         A. Proceedings of the 2001 ASME Design Engineering Technical Conferences, 18th Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA, Sept. 9-12, 2001, paper no.DETC2001/VIB-21587 (CD-ROM)
         B. International Journal of Nonlinear Mechanics 39:491-502 (2004)
  154. Global Behavior of a Nonlinear Quasiperiodic Mathieu Equation (PDF1,2 )
         R.S.Zounes and R.H.Rand
         A. Proceedings of the 2001 ASME Design Engineering Technical Conferences, 18th Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA, Sept. 9-12, 2001, paper no.DETC2001/VIB-21595 (CD-ROM)
        B. Nonlinear Dynamics 27:87-105 (2002)
  155. An Examination of Wake Oscillator Models for Vortex-Induced Vibrations (PDF )
         L.Ng, R.H.Rand, T.Wei and W.L.Keith
         NUWC-NPT Technical Report 11,298, NAVSEA Naval Undersea Warfare Center Division, Newport, RI, (2001)
  156. Subharmonic Resonance in the Nonlinear Mathieu Equation (PDF )
         R.S.Zounes and R.H.Rand
         International J. Nonlinear Mechanics 37:43-73 (2002)
  157. Non-linear Modal Interactions in the Oscillations of a Liquid Drop in a Gravitational Field (PDF )
         I.Rozhkov, A.F.Vakakis and R.H.Rand
         International J. Nonlinear Mechanics 36:803-812 (2001)
  158. A Bifurcation Analysis of the Quadratically Damped Mathieu Equation and Its Applications to the Dynamics of Submarine Towed-Array Lifting Devices (PDF)
         D.V.Ramani, R.H.Rand and W.L.Keith
         Proceedings of the UDT (Underwater Defense Technology) Hawaii 2001 Conference, Oct 30-Nov 1, 2001, Hilton Hawaiian Village, Waikiki, Hawaii (CD ROM)
  159. Dynamics of Two van der Pol Oscillators Coupled via a Bath(PDF)
         E.Camacho, R.Rand, H.Howland
         A. Abstract in Proceedings of the 14th U.S. National Congress of Theoretical and Applied Mechanics, Virginia Polytechnic Institute, Blacksburg, VA, June 23-28,2002, p.151.
         B. Proceedings of the 2003 ASME Design Engineering Technical Conferences, 19th Biennial Conference on Mechanical Vibration and Noise, Chicago, IL, Sept. 2-6, 2003, paper no.DETC2003-48593 (CD-ROM)
        C. International J. Solids and Structures 41:2133-2143 (2004)
  160. Slow Passage Through Resonance in Mathieu's Equation(PDF1,2)
         L.Ng, R.Rand and M.O'Neil
         A. Proceedings of the 2002 ASME International Mechanical Engineering Congress and Exposition, Nov.17-22, 2002, New Orleans, LA, paper no.IMECE2002-39139 (CD-ROM)
        B. Journal of Vibration and Control 9:685-707 (2003)
  161. Bifurcations in a Mathieu Equation with Cubic Noninearities: Part II(PDF)
         L.Ng and R.Rand
         A. Proceedings of the 2002 ASME International Mechanical Engineering Congress and Exposition, Nov.17-22, 2002, New Orleans, LA, paper no.IMECE2002-32410 (CD-ROM)
         B. Communications in Nonlinear Science and Numerical Simulation 7:107-121 (2002)
  162. Nonlinear Effects on Coexistence Phenomenon in Parametric Excitation (PDF1,2)
         L.Ng and R.Rand
         A. Proceedings of the 2002 ASME International Mechanical Engineering Congress and Exposition, Nov.17-22, 2002, New Orleans, LA, paper no.IMECE2002-32406 (CD-ROM)
         B. Nonlinear Dynamics 31:73-89 (2003)
  163. Analysis of a Nonlinear Partial Difference Equation and Its Application to Cardiac Dynamics (PDF)
         M.D.Stubna, R.H.Rand and R.F.Gilmour
         J.Difference Equations and Applications 8:1147-1169 (2002)
  164. Book Review of "Analytical Mechanics" by A.I.Lurie (PDF)
        R.H.Rand
        SIAM Review 45:156-159 (2003)
  165. Tree Size Frequency Distributions, Plant Density, Age and Community Disturbance (PDF)
        K.J.Niklas, J.J.Midgley and R.H.Rand
        Ecology Letters 6:405-411 (2003)
  166. 2:2:1 Resonance in the Quasiperiodic Mathieu Equation (PDF1, 2)
         R.Rand, K.Guennoun and M.Belhaq
         A. Proceedings of the 2003 ASME Design Engineering Technical Conferences, 19th Biennial Conference on Mechanical Vibrations and Noise, Chicago, IL, Sept. 2-6, 2003, paper no.DETC2003-48563 (CD-ROM)
         B. Nonlinear Dynamics 31:367-374 (2003)
  167. Nonlinear Dynamics of a System of Coupled Oscillators with Essential Stiffness Nonlinearities (PDF1,2)
        A.F.Vakakis and R.H.Rand
         A. Proceedings of the 2003 ASME Design Engineering Technical Conferences, 19th Biennial Conference on Mechanical Vibrations and Noise, Chicago, IL, Sept. 2-6, 2003, paper no.DETC2003-48446 (CD-ROM)
         B. International Journal of Nonlinear Mechanics 39:1079-1091 (2003)
  168. Hopf Bifurcation in a Disk-Shaped NEMS (PDF)
        M.Zalalutdinov, J.Parpia, K.Aubin, H.Craighead, T.Alan, A.Zehnder and R.Rand
         Proceedings of the 2003 ASME Design Engineering Technical Conferences, 19th Biennial Conference on Mechanical Vibrations and Noise, Chicago, IL, Sept. 2-6, 2003, paper no.DETC2003-48516 (CD-ROM)
  169. Size-dependent Species Richness: Trends Within Plant Communities and Across Latitude (PDF)
        K.J.Niklas, J.J.Midgley and R.H.Rand
        Ecology Letters 6:631-636 (2003)
  170. Book Review of "Chaotic Synchronization: Applications to Living Systems" by Mosekilde, Maistrenko and Postnov (PDF)
        R.H.Rand
        SIAM Review 45:617-618 (2003)
  171. Frequency Entrainment for Micromechanical Oscillator (PDF)
        M.Zalalutdinov, K.L.Aubin, M.Pandey, A.T.Zehnder, R.H.Rand, H.G.Craighead, J.M.Parpia
        Applied Physics Letters 83:3281-3283 (2003)
  172. Lecture Notes on Nonlinear Vibrations (PDF)
        R.H.Rand
        Published on-line by The Internet-First University Press (2004)
        http://dspace.library.cornell.edu/handle/1813/79
  173. Limit Cycle Oscillations in CW Laser-Driven NEMS (PDF)
        K.Aubin, M.Zalalutdinov, T.Alan, R.B.Reichenbach, R.Rand, A.Zehnder, J.Parpia and H.Craighead
        J.MEMS 13:1018-1026 (2004)
  174. Parametric Resonance of Hopf Bifurcation (PDF1, 2 )
        R.Rand, A.Barcilon and T.Morrison
        A. Nonlinear Dynamics 39:411-421 (2005)
        B. Proceedings of the 2005 ASME International Design Engineering Technical Conferences, Sept.24-28, 2005, Long Beach, CA, paper no. DETC2005-84016
  175. 2:1:1 Resonance in the Quasi-Periodic Mathieu Equation (PDF1, 2)
        R.Rand and T.Morrison
        A. Nonlinear Dynamics 40:195-203 (2005)
        B. Proceedings of the 2005 ASME International Design Engineering Technical Conferences, Sept.24-28, 2005, Long Beach, CA, paper no. DETC2005-84015
  176. Synchronization in the Winfree Model of Coupled Nonlinear Oscillators (PDF1, 2)
        D.D.Quinn, R.H.Rand and S.Strogatz
        A. ENOC 2005 Conference, Eindhoven, Netherlands, August 7-12, 2005 (CD-ROM)
        B. Physical Review E 75:036218 (2007)
  177. Self-thinning and Community Persistence in a Simple Size-structured Dynamical Model of Plant Growth (PDF)
        F.Dercole, K.Niklas and R.Rand
        J.Math.Biology 51:333-354 (2005)
  178. Coexistence Phenomenon in Autoparametric Excitation of Two Degree of Freedom Systems (PDF1, 2)
        G.Recktenwald and R.Rand
        A. International J. Nonlinear Mechanics 40:1160-1170 (2005)
        B. Proceedings of the 2005 ASME International Design Engineering Technical Conferences, Sept.24-28, 2005, Long Beach, CA, paper no. DETC2005-84020
  179. Dynamics of Three Coupled van der Pol Oscillators with Application to Circadian Rhythms (PDF1, 2)
        K.Rompala, R.Rand and H.Howland
        A. Proceedings of the 2005 ASME International Design Engineering Technical Conferences, Sept.24-28, 2005, Long Beach, CA, paper no. DETC2005-84017
        B. Communications in Nonlinear Science and Numerical Simulation 12:794-803 (2007)
  180. Frequency Locking in a Forced Mathieu-van der Pol-Duffing System (PDF1, 2, 3)
        M.Pandey, R.Rand and A.Zehnder
        A. Proceedings of the 2005 ASME International Design Engineering Technical Conferences, Sept.24-28, 2005, Long Beach, CA, paper no. DETC2005-84018
        B. Proceedings of the 2007 ASME International Design Engineering Technical Conferences, Sept.4-7, 2007, Las Vegas, NV, paper no. DETC2007-34411
        C. Nonlinear Dynamics 54:3-12 (2008)
  181. Third-Order Intermodulation in a Micromechanical Thermal Mixer (PDF)
        R.B.Reichenbach, M.Zalalutdinov, K.L.Aubin, R.Rand, B.H.Houston, J.M.Parpia and H.G.Craighead
        J.MEMS 14:1244-1252 (2005)
  182. The Damped Nonlinear Quasiperiodic Mathieu Equation Near 2:2:1 Resonance (PDF)
        N. Abouhazim, R.H. Rand and M. Belhaq
        Nonlinear Dynamics 45:237-247 (2006)
  183. Hopf Bifurcation Formula for First Order Differential-Delay Equations (PDF)
        R. Rand and A. Verdugo
        Communications in Nonlinear Science and Numerical Simulation 12:859-864 (2007)
  184. Hopf Bifurcation in a DDE Model of Gene Expression (PDF1, 2)
        A. Verdugo and R. Rand
        A. Communications in Nonlinear Science and Numerical Simulation 13:235-242 (2008)
        B. Proceedings of the 2007 ASME International Design Engineering Technical Conferences, Sept.4-7, 2007, Las Vegas, NV, paper no. DETC2007-34214
  185. Center Manifold Analysis of a DDE Model of Gene Expression (PDF)
        A. Verdugo and R. Rand
        Communications in Nonlinear Science and Numerical Simulation     13:1112-1120 (2008)
  186. Dynamics of Four Coupled Phase-Only Oscillators (PDF)
        R. Rand and J. Wong
        Communications in Nonlinear Science and Numerical Simulation     13:501-507 (2008)
  187. Analysis of Frequency Locking in Optically Driven MEMS Resonators (PDF)
        M. Pandey, K. Aubin, M. Zalalutdinov, R.B. Reichenbach, A.T. Zehnder, R.H. Rand and H.G. Craighead
         J. Microelectromechanical Systems 15:1546-1554 (2006)
  188. Stability of Strongly Nonlinear Normal Modes (PDF)
        G. Recktenwald and R. Rand
         Communications in Nonlinear Science and Numerical Simulation 12:1128-1132 (2007)
  189. Perturbation Analysis of Entrainment in a Micromechanical Limit Cycle Oscillator (PDF)
        M. Pandey, R. Rand and A. Zehnder
         Communications in Nonlinear Science and Numerical Simulation 12:1291-1301 (2007)
  190. Trigonometric Simplification of a Class of Conservative Nonlinear Oscillators (PDF)
        G. Recktenwald and R. Rand
         Nonlinear Dynamics 49:193-201 (2007)
  191. Two Models for the Parametric Forcing of a Nonlinear Oscillator (PDF)
        N. Abouhazim, M. Belhaq and R.H. Rand
         Nonlinear Dynamics 50:147-160 (2007)
  192. 2:1 Resonance in the Delayed Nonlinear Mathieu Equation (PDF)
        T.M. Morrison and R.H. Rand
         Nonlinear Dynamics 50:341-352 (2007)
  193. Dynamics of Three Coupled Limit Cycle Oscillators with Application to Artificial Intelligence (PDF)
        L. Mendelowitz, A. Verdugo and R. Rand
        Communications in Nonlinear Science and Numerical Simulation 14:270-283 (2009)
  194. Effect of Quasiperiodic Gravitational Modulation on the Stability of a Heated Fluid Layer (PDF)
        T. Boulal, S. Aniss, M. Belhaq and R. Rand
        Physical Review E 76:056320 (2007)
  195. Autoparametric Quasiperiodic Excitation (PDF)
        S.M. Sah, G. Recktenwald, R. Rand, M. Belhaq
        International J. Nonlinear Mechanics 43:320-327 (2008)
  196. Shell Analysis of Elliptical Guard Cells in Higher Plants: A Review (PDF)
        J.R. Cooke, R.H. Rand, H.A. Mang, J.G. DeBaerdemaker and J.Y. Lee
        Proceedings of the 6th International Conference on Computation of Shell and Spatial Structures IASS-IACM 2008, 28-31 May 2008, Cornell University, Ithaca NY (CD ROM)
  197. DDE Model of Gene Expression: A Continuum Approach (PDF1, 2)
        A. Verdugo and R.H. Rand
        A. Proceedings of the ASME 2008 Dynamic Systems and Control Conference, 20-22 October 2008, Ann Arbor, MI
        B. Proceedings of the ASME 2008 IMECE, 2-6 November 2008, Boston, MA
  198. Dynamics of a Ring of Three Coupled Relaxation Oscillators (PDF)
        J. Bridge, L. Mendelowitz, R. Rand, S. Sah, A. Verdugo
        Communications in Nonlinear Science and Numerical Simulation 14:1598-1608 (2009)
  199. Three Oscillator Model of the Heartbeat Generator (PDF)
        M. Suchorsky and R. Rand
        Communications in Nonlinear Science and Numerical Simulation 14:2434-2449 (2009)
  200. Dynamics of a Ring Network of Phase-Only Oscillators (PDF)
        J. Bridge, R. Rand, S.M. Sah
        Communications in Nonlinear Science and Numerical Simulation 14:3901-3913 (2009)
  201. Slow Passage Through Multiple Parametric Resonance Tongues (PDF)
        J. Bridge, R. Rand, S.M. Sah
        J. Vibration and Control 15:1581-1600 (2009)
  202. Origin of Arrhythmias in a Heart Model (PDF)
        H. Sheheitli and R. Rand
        Communications in Nonlinear Science and Numerical Simulation 14:3707-3714 (2009)
  203. Dynamics of Microbubble Oscillators with Delay Coupling (PDF1, 2, 3)
        C.R. Heckman, S.M. Sah and R.H. Rand
        A. Proceedings of ASME IDETC/CIE 2009, August 30 - September 2, 2009, San Diego, California, USA
        B. Communications in Nonlinear Science and Numerical Simulation 15:2735-2743 (2010)
        C. Proceedings of European Nonlinear Oscillations Conference (ENOC) 2011, July 24-29, 2011, Rome, Italy
  204. Dynamics of a Model of Two Delay-Coupled Relaxation Oscillators (PDF)
        R.E. Ruelas and R.H. Rand
        Communications in Nonlinear Science and Numerical Simulation 15:1980-1988 (2010)
  205. Fractional Mathieu Equation (PDF1, 2)
        R.H.Rand, S.M.Sah and M.K.Suchorsky
        A. Proceedings of ASME IDETC/CIE 2010, August 15-18, 2010, Montreal, Quebec, Canada
        B. Communications in Nonlinear Science and Numerical Simulation 15:3254-3262 (2010)
  206. Using Delay to Quench Undesirable Vibrations (PDF)
        M.K.Suchorsky, S.M.Sah and R.H.Rand
        Nonlinear Dynamics 62:407-416 (2010)
  207. A Digital Model of Coupled Oscillators (PDF)
        R.E. Ruelas and R.H. Rand
        Communications in Nonlinear Science and Numerical Simulation 16:1135-1139 (2011)
  208. Dynamics of Three Coupled Limit Cycle Oscillators with Vastly Different Frequencies (PDF1, 2)
        H. Sheheitli and R.H. Rand
        A. Nonlinear Dynamics 64:131-145 (2011)
        B. Proceedings of European Nonlinear Oscillations Conference (ENOC) 2011, July 24-29, 2011, Rome, Italy
  209. Anchor Deformations Drive Limit Cycle Oscillations in Interferometrically Transduced MEMS Beams (PDF1, 2)
        D.Blocher, A.Zehnder, R.Rand, S.Mukerji
        A. Proceedings of 2011 NSF Engineering Research and Innovation Conference, Jan.4-7, 2011, Atlanta, Georgia
        B. Finite Elements in Analysis and Design 49:52-57 (2012)
  210. Evolutionary Dynamics of a System with Periodic Coefficients (PDF)
        R.H. Rand, M. Yazhbin and D.G. Rand
        Communications in Nonlinear Science and Numerical Simulation 16:3887-3895 (2011)
  211. Differential-Delay Equations (PDF)
        R. Rand
        Chapter 3 in "Complex Systems: Fractionality, Time-Delay and Synchronization", A.C.J. Luo and J-Q Sun, eds., pp.83-117, Springer (2011)
  212. Multiple Limit Cycles in Laser Interference Transduced Resonators (PDF1, 2)
        D.B. Blocher, R.H. Rand, A.T. Zehnder
        A. Proceedings of the ASME 2011 IDETCC & CIE, Aug.28-31, 2011, Wash.D.C.
        B. International J. Non-Linear Mechanics 52:119-126 (2013)
  213. A Pair of van der Pol Oscillators Coupled by Fractional Derivatives (PDF)
        M.K. Suchorsky and R.H. Rand
        Nonlinear Dynamics 69:313-324 (2012)
  214. Nonlinear Parametric Excitation of an Evolutionary Dynamical System (PDF)
        R.E.Ruelas, D.G.Rand and R.H.Rand
        J. Mechanical Engineering science (Proceedings Inst. Mech. Eng., Part C) 226:1912-1920 (2012)
  215. Dynamics of a Mass-Spring-Pendulum System with Vastly Different Frequencies (PDF1, 2)
        H.Sheheitli and R.H.Rand
        A. Proc of PACAM XII 12th Pan American Congress of Applied Mechanics, Jan.2-6, 2012, Port of Spain, Trinidad
        B. Nonlinear Dynamics 70:25-41 (2012)
  216. On the Dynamics of a Thin Elastica (PDF)
        H.Sheheitli and R.H.Rand
        International J Nonlinear Mechanics 47:99-107 (2012)
  217. Center Manifold Reduction of the Hopf-Hopf Bifurcation in a Time-delay System (PDF1, 2, 3)
        C.Heckman, J.Kotas and R.Rand
        A. ICSNDD (International Conference on Structural Nonlinear Dynamics and Diagnosis), April 30-May 2, 2012, Marrakech, Morocco
        B. Proceedings of the ESAIM (European Society for Applied and Industrial Mathematics) 39:57-65 (2013)
        C. Journal of Applied Nonlinear Dynamics 1:159-171 (2012)
  218. BOOK: Lecture Notes in Nonlinear Vibrations (new edition) (PDF)
        R.H.Rand
        Published on-line by The Internet-First University Press (2012)
        http://ecommons.library.cornell.edu/handle/1813/28989
  219. Dynamics of microbubble oscillators with delay coupling (PDF)
        C.R.Heckman and R.H.Rand
        Nonlinear Dynamics 71:121-132 (2013)
  220. Straight-line Backbone Curve (PDF)
        I.Kovacic and R.Rand
        Communications in Nonlinear Science and Numerical Simulation 18:2281-2288 (2013)
  221. Parametric Excitation and Evolutionary Dynamics (PDF)
        R.E.Ruelas, D.G.Rand and R.H.Rand
        J. Applied Mechanics 80, 051013 (2013) (6 pages); doi: 10.1115/1.4023473
  222. Alternate Models of Replicator Dynamics (PDF1, 2)
        E.N.Wesson and R.H. Rand
        A. Journal of Applied Nonlinear Dynamics 2:193-206 (2013)
        B. paper no. DETC2013-12046
        Proceedings of ASME 2013 IDETC/CIE 2013, August 4-7, 2013, Portland, OR.
  223. Entrainment of Micromechanical Limit Cycle Oscillators in the Presence of Frequency Instability (PDF)
        Blocher,D.B., Zehnder,A.T. and Rand,R.H.
        J. Microelectromechanical Systems 22:835-845 (2013)
  224. Disappearance of Resonance Tongues (PDF1, 2)
        R.E.Ruelas and R.H.Rand
        A .paper no. DETC2013-12019
        Proceedings of ASME 2013 IDETC/CIE 2013, August 4-7, 2013, Portland, OR.
        B. Journal of Applied Nonlinear Dynamics 4:1-9 (2015)
  225. Two Paths to Isochronicity in a Class of One Degree of Freedom Oscillators (PDF)
        I.N.Kovacic and R.H.Rand
        paper no. DETC2013-12070
        Proceedings of ASME 2013 IDETC/CIE 2013, August 4-7, 2013, Portland, OR.
  226. Analysis of Laser Power Threshold for Self Oscillation in Thermo-Optically Excited Doubly Supported MEMS Beams (PDF)
        Blocher,D.B., Rand,R.H., Zehnder,A.T.
        International J Nonlinear Mechanics 57:10-15 (2013)
  227. Shape Optimization of a Blunt Body Vibro-wind Galloping Oscillator (PDF)
         Kluger, J.M., Moon, F.C.. and Rand, R.H.
        Journal of Fluids and Structures 40:185-200 (2013)
  228. About a class of nonlinear oscillators with amplitude-independent frequency (PDF1, 2, 3, 4)
         I.Kovacic and R.Rand
        A. Nonlinear Dynamics 74:455-465 (2013)
        B. 12th Conference on Dynamical Systems, Dec.2-5, 2013, Lodz, Poland
        C. Chapter 1 in "Applied Non-Linear Dynamical Systems" ed. J.Awrejcewicz, Springer, pp.1-10 (2014)
        D. Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014), July 6-11, 2014, Vienna, Austria
  229. Hopf Bifurcations in Two-Player Delayed Replicator Dynamics (PDF)
         E. Wesson and R. Rand
         Proceedings of th ASME IDETC/CIE 2014, Aug.18-20, 2014, Buffalo NY
  230. Dynamics of a System of Two Coupled Oscillators which are Driven by a Third Oscillator (PDF1, 2)
        L. Lazarus and R. Rand
        A. Proceedings of th ASME IDETC/CIE 2014, Aug.18-20, 2014, Buffalo NY
        B. Journal of Applied Nonlinear Dynamics 3:271-282 (2014)
  231. A Model of Evolutonary Dynamics with Quasiperiodic Forcing (PDF1, 2, 3, 4)
         E. Wesson and R. Rand
        A. Society for Experimental Mechanics (SEM) IMAC XXXIII Conference on Structural Dynamics, February 2-5, 2015, Orlando FL
        B. Journal of Applied Nonlinear Dynamics 4:131-140 (2015)
        C. Procedia IUTAM 19:11-18 (2016)
        D. Chapter 14, pp.163-171 in "Nonlinear Dynamics, Volume 1", G.Kerschen editor, Springer 2016
  232. Coupled Parametrically Driven Modes in Synchrotron Dynamics (PDF1, 2)
         A. Bernstein and R. Rand
        A. Society for Experimental Mechanics (SEM) IMAC XXXIII Conference on Structural Dynamics, February 2-5, 2015, Orlando FL
        B. Chapter 8, pp.107-112 in "Nonlinear Dynamics, Volume 1", G.Kerschen editor, Springer 2016
  233. Hopf Bifurcations in Delayed Rock-Paper-Scissors Replicator Dynamics (PDF)
         E. Wesson and R. Rand
         Dynamic Games and Applications 6:139-156 (2016)
  234. Master-Slave Locking of Optomechanical Oscillators over a Long Distance (PDF)
         S.Y. Shah, M. Zhang, R. Rand and M. Lipson
         Physical Review Letters 114, 113602 (2015)
  235. Dynamics of a Delay Limit Cycle Oscillator with Self-Feedback (PDF1, 2)
         L. Lazarus, M. Davidow and R. Rand
        A. Nonlinear Dynamics 82:481-488 (2015)
        B. Procedia IUTAM 19:152-160 (2016)
  236. Hopf Bifurcations in Two-Strategy Delayed Replicator Dynamics (PDF)
         E. Wesson, R. Rand and D. Rand
         International Journal of Bifurcation and Chaos 26(1) 1650006 (2016)
  237. Dynamics of an Oscillator with Delay Parametric Excitation (PDF1, 2)
         L. Lazarus, M. Davidow and R. Rand
        A. International Journal of Non-Linear Mechanics (2016), 78:66-71
        B. International Conference on Structural Nonlinear Dynamics and Diagnosis,
         Marrakech, May 23-25,2016
  238. Synchronization of Delay-Coupled Micromechanical Oscillators (PDF)
         S.Y. Shah, M. Zhang, R. Rand and M. Lipson
        arXiv:1511.08536v1 (2015)
  239. On Nonlinear Differential Equations with Delayed Self-Feedback (PDF1, 2, 3, 4, 5)
         S.M. Sah and R.H. Rand
        A. International Conference on Structural Nonlinear Dynamics and Diagnosis,
         Marrakech, May 23-25,2016
        B. 24th International Congress of Theoretical and Applied Mechanics (ICTAM2016),
         Montreal, Canada, August 21-26,2016
        C. arXiv:1601.01853v1 (2016)
        D. Journal of Applied Nonlinear Dynamics 5(4):471-484 (2016)
        E. Proceedings of the 5th International Conference on Nonlinear Dynamics,
         Sept. 27-30,2016, Kharkov, Ukraine
  240. Delay-Coupled Mathieu Equations in Synchrotron Dynamics (PDF)
         A. Bernstein and R. Rand
         Journal of Applied Nonlinear Dynamics 5(3):337-348 (2016)
  241. Periodically Forced Delay Limit Cycle Oscillator (PDF)
         L. Lazarus, M. Davidow and R. Rand
         A. International Journal of Non-Linear Mechanics 94:216-222 (2017)
         B. abstract no.1125-37-2875 in proceedings of the Joint Math Meetings, Jan.4-7,2017, Atlanta GA
  242. Delay-Differential Equations Applied to Queueing Theory (PDF1, 2, 3)
         J. Pender, R. Rand and E. Wesson
         A. arXiv:1610.01972v1 (2016)
         B. Proceedings of 9th European Nonlinear Dynamics Conference (ENOC 2017), June 25-30, 2017, Budapest, Hungary
         C. International Journal of Bifurcation and Chaos 27(4) 1730016 (2017)
  243. Low-power photothermal self-oscillation of bimetallic nanowires (PDF1, 2)
         R. De Alba, T.S. Abhilash, R.H. Rand, H.G. Craighead and J.M. Parpia
         A. arXiv:1610.07951v2 (2016)
         B. Nano Letters (to appear, 2017)
  244. Analysis of a simplified MEMS oscillator (PDF)
         Richard H. Rand, Alan T. Zehnder and B.Shayak
         Proceedings of 9th European Nonlinear Dynamics Conference (ENOC 2017), June 25-30, 2017, Budapest, Hungary
  245. Hopf bifurcation in a delayed nonlinear Mathieu equation (PDF)
         Alexander Bernstein, Si Mohamed Sah, Robert E. Meller and Richard H. Rand
         Proceedings of 9th European Nonlinear Dynamics Conference (ENOC 2017), June 25-30, 2017, Budapest, Hungary
  246. Analysis of a remarkable singularity in a nonlinear DDE (PDF1, 2, 3)
         Matthew Davidow, B. Shayak and Richard H. Rand
         A. arXiv:1701.00201v1 (2017)
         B. Proceedings of 9th European Nonlinear Dynamics Conference (ENOC 2017), June 25-30, 2017, Budapest, Hungary
         C. Nonlinear Dynamics 90:317-323 (2017)
  247. An Asymptotic Analysis of Queues with Delayed Information and Time Varying Arrival Rates (PDF)
         Jamol Pender, Richard H. Rand and Elizabeth Wesson
         A. arXiv:1701.05443v1 (2017)
  248. Dynamics of Two Coupled van der Pol Oscillators with Delay Coupling Revisited (PDF1, 2)
         Mark Gluzman and Richard Rand
         A. arXiv:1705.03100v1.pdf (2017)
         B. Global Journal of Science Frontier Research (F) 17(5) 1-7 (2017)
  249. Lossless crossing of a resonance stopband during tune modulation by synchrotron oscillations(PDF)
         G.M. Wang, T. Shaftan, V. Smaluk, Y. Li and R. Rand
         New Journal of Physics 19: 093010 (2017)
  250. Three ways of treating a linear delay differential equation(PDF)
         Si Mohamed Sah and Richard H. Rand
         Chapter 14 in "Recent Trends in Applied Nonlinear Mechanics and Physics:
        Selected Papers from CSNDD 2016"
         editor Mohamed Belhaq (Springer) pp.251-257 (2017)
  251. Delay-Coupled Mathieu Equations in Synchrotron Dynamics Revisited: Delay Terms in the Slow Flow (PDF)
         A. Bernstein and R. Rand
         Journal of Applied Nonlinear Dynamics (to appear 2018)

 

 

 

Last revised: 12/14/17