CDS 140b, Spring 2011

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Introduction to Dynamics

Instructors

Teaching Assistant

  • Jerry Cruz
  • Office hours: TBA

Course Description

Announcements

  • 18 Mar 2011: web page creation


Lecture Schedule

Date Topic Reading/Lecture Notes 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

HW 1
5 Apr
7 Apr
Bifurcation
12 Apr
14 Apr
19 Apr
21 Apr
26 Apr
28 Apr


References:

Course Textbooks

  • S. Strogatz, Nonlinear Dynamics And Chaos, Westview Press, 1994. ISBN: 978-0738204536
  • L. Perko, 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.

Policies:

Lecture notes:

A skeleton file for the lecture notes will be posted the night before each lecture and it will mainly include figures and some text. It is recommended that students come to class with the lecture notes skeleton and use it to fill in the material covered in class. Complete lecture notes will NOT be posted.

Collaboration Policy

Homeworks are to be done and handed in individually. To improve the learning process, students are encouraged to discuss the problems with, provide guidance to and get help from other students, the TAs and instructors. However, to make sure each student understands the concepts, solutions must be written independently and should reflect your understanding of the subject matter at the time of writing. Copying solutions, using solutions from previous years, having someone else type or dictate any part of the solution manual or using publicly available solutions (from the Internet) are not allowed.

Grading Policy

The final grades will be evaluated based on homework assignments (5*12%=60%), final projects (30%), and participation in class (10%).

Late Homework

Each student is allowed one late day which means only one homework assignment may be handed in up to one day late. Other than this day, late homework will not be accepted. Exceptional circumstances (such as medical situations) with appropriate documentation will be considered by the instructors.

Old Announcements