CDS 140b, Spring 2011

Introduction to Dynamics
Instructors Nader Motee (CDS) Jun Liu (CDS) Lectures: Tu/Th, 10:30-11:55, 314 ANB	Teaching Assistant TBA Office hours: TBA

Announcements

• 18 Mar 2011: web page creation

Lecture Schedule

Date	Topic	Reading	Homework
29 Mar 31 Mar	Limit cycles Recap of periodic orbits Ruling out of closed orbits �* Index theory Poincare-Bendixon theorem Lienard systems	Perko, 1.1-1.6 Optional: J&S, Ch 1 J&S, 2.1-2.5	HW 1
11 Jan 13 Jan	Linear Differential Equations II S + N decomposition, Jordan form Stability theory Linear systems with inputs (nonhomogeneous systems) Boundary value problems	Perko, 1.7-1.10 + notes	HW 2

Textbooks

The suggested textbooks for the course (available via the online bookstore) are

• Strogatz, Steven; Nonlinear Dynamics And Chaos, Westview Press, 1994. ISBN: 978-0738204536
• Perko, Lawrence; Differential Equations and Dynamical Systems (3rd), Springer, 2001. ISBN: 978-0387951164

Collaboration Policy

Collaboration on homework assignments is encouraged. You may consult outside reference materials, other students, the TA, or the instructor. Use of solutions from previous years in the course or from other external sources is not allowed. All solutions that are handed should reflect your understanding of the subject matter at the time of writing.