Introduction to Dynamical Systems

Catalog description

The theory of dynamical systems is a modern branch of mathematics. Its main objective is to analyze long-term behavior of systems that evolve in time. In this course we introduce the fundamental concepts and tools of dynamics and discuss an array of examples. The topics include contractions, maps of circles and tori, symbolic systems, hyperbolic systems, recurrence, Equi distribution, transitivity and mixing, stability, entropy, chaos, and fractals.