MATH 617:
Dynamical Systems (Fall 2006)
Instructor:
Yulij Ilyashenko
Meeting
Time & Room
The course is addressed to three highlights in the modern theory of
Dynamical Systems: explanation of chaos via hyperbolicity, solution
to the Riemann-Hilbert problem, existence of Kolmogorov tori in the
Hamiltonian mechanics. All the topics will be presented from the
very beginning; the only prerequisites are undergraduate courses in
differential equations and complex analysis.
About 2/3 of the course will be covered by the books of Arnold Geometric
Methods in the Theory of Ordinary Differential Equations
and Katok and Hasselblat, Introduction to the Modern Theory of
Dynamical Systems. The handouts for the other part will be
distributed.
Last modified:
April 25, 2006
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