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

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(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.…')
 
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* Recap of periodic orbits  
 
* Recap of periodic orbits  
 
* Ruling out of closed orbits
 
* Ruling out of closed orbits
* Index theory
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* Index theory
 
* Poincare-Bendixon theorem
 
* Poincare-Bendixon theorem
 
* Lienard systems
 
* Lienard systems
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| [[CDS 140a Winter 2011 Homework 1|HW 1]]
 
| [[CDS 140a Winter 2011 Homework 1|HW 1]]
 
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| 11 Jan <br> 13 Jan
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| 5 Apr <br> 7 Apr
| Linear Differential Equations II
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| Limit cycles
* S + N decomposition, Jordan form
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* Recap of periodic orbits
* Stability theory
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* Ruling out of closed orbits
* Linear systems with inputs (nonhomogeneous systems)
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* Index theory
* Boundary value problems
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* Poincare-Bendixon theorem
| Perko, 1.7-1.10 + notes
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* Lienard systems
| [[CDS 140a Winter 2011 Homework 2|HW 2]]
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Revision as of 07:24, 18 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 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
5 Apr
7 Apr
Limit cycles
  • Recap of periodic orbits
  • Ruling out of closed orbits
  • Index theory
  • Poincare-Bendixon theorem
  • Lienard systems

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


Grading

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