|
Instructor:
E-mail: Office: Office hours: |
Victoria Sadovskaya sadovskaya@psu.edu 426 McAllister Monday 1:10-2:00 p.m., Wednesday 11:00-11:50 a.m., and by appointment |
Course 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 over time.
In this course we will introduce the fundamental concepts and tools of dynamics and
discuss an array of examples. The topics will include contractions, maps of circles and tori,
symbolic systems, linear maps, hyperbolic systems, fractals, recurrence, entropy, and chaos.
Prerequisites: Math 220, 230, and 312.
Text (optional): A First Course in Dynamics by B. Hasselblatt and A. Katok.
Syllabus
pdf