Cornell Math - MATH 617, Fall 2006

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.