CDS 140b, Spring 2011

From Murray Wiki
Revision as of 07:21, 18 March 2011 by Liu (talk | contribs) (Created page with '{| width=100% |- | colspan=2 align=center | <font color='blue' size='+2'>Introduction to Dynamics</font>__NOTOC__ |- valign=top | width=50% | '''Instructors''' * [http://www.cds.…')
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigationJump to search

Introduction to Dynamics


Teaching Assistant

  • TBA
  • Office hours: TBA

Course Description


  • 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

  • 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


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.

Old Announcements