
CDS 140b  Winter 2010
Second Term
Introduction to Dynamics
CDS 140b is a continuation of CDS 140a. More than half of the course will focus on tools from nonlinear dynamics, such as the existence of periodic orbits, bifurcation theory, chaos, etc. During the second part of the course, guest lecturers will give an introduction to current research topics in dynamical systems theory. There will be three homeworks throughout the semester and a midterm exam. Instead, the students are required to select a research topic and a journal paper related to CD140b and present a brief review of the paper. The details of the projects will be discussed in the class.
Lectures: TR 14:30am15:55am, 214 Steele.
Instructor: Nader Motee.
Office hours: by appointment.
Teaching Assistant: Molei Tao
Office hours: Wed. 16:0017:00, Steele 15.
Course Schedule and Lecture Notes:
 Notes from some of the lectures
 Week 1: Limit Cycles, Index Theory.
 Week 2: PoincareBendixson Theorem.
 Week 3: Lienard systems, series expansions for weakly nonlinear systems, Hopf bifurcation.
 Week 4: Structural stability, Codimensionone Bifurcations
 Week 5: Unfoldings of Bifurcations, Hopf Bifurcation
 Week 6: Poincare Map, Stability of Periodic Orbits
Guest Lectures and Final Projects:
Homeworks:
Course Projects:

