Difference between revisions of "CDS 140b, Spring 2011"

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'''Additional Sources:'''
'''Additional Sources:'''


* F. Verhulst, Nonlinear Differential Equations and Dynamical Systems,
* F. Verhulst, Nonlinear Differential Equations and Dynamical Systems,Springer, 2ed Edition, 1996.
Springer, 2ed Edition, 1996.
* S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer; 2nd edition, 2003. ISBN: 978-0387001777.
* S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer; 2nd edition, 2003. ISBN: 978-0387001777.



Revision as of 18:59, 23 March 2011

Introduction to Dynamics

Instructors

Teaching Assistant

  • TBA
  • Office hours: TBA

Course Description

Announcements

  • 18 Mar 2011: web page creation


Lecture Schedule

Date Topic Reading Homework
29 Mar
31 Mar
Limit cycles
  • Recap
  • Ruling out closed orbits
  • Index theory
  • Poincare-Bendixon theorem
  • Lienard systems

Strogatz 7.0-7.4
Perko, 3.1-3.5, 3.7-3.8, 3.12
Notes:

HW 1
5 Apr
7 Apr
Bifurcation

Textbooks

Course Textbooks

  • 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

Additional Sources:

  • F. Verhulst, Nonlinear Differential Equations and Dynamical Systems,Springer, 2ed Edition, 1996.
  • S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer; 2nd edition, 2003. ISBN: 978-0387001777.

Grading

Collaboration Policy

Collaboration on homework assignments is encouraged. You may consult outside reference materials, other students, the TA, or the instructors. 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