Limit Cycles: Existence and Non-existence Criteria

Limit Cycles: Existence and Non-existence Criteria
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Taught by OCW
Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 29, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms
Limit Cycles: Existence and Non-existence Criteria -- Lecture 32. Learn about limit cycles and their criteria.
  • What are limit cycles?
  • What are the criteria for limit cycles to exist?
  • What is a closed trajectory?
  • What does it mean for a limit cycle to be isolated?
  • What does it mean for a limit cycle to be stable?
  • How do you know when a limit cycle will not exist?
  • What is Poincare-Bendixson criteria?
This lecture starts off with a bit of review from the last few lectures, including trajectories and velocity fields. This lecture is devoted entirely to the idea of limit cycles and how to determine whether a limit cycle exists. There are some example problems done as well. A very interesting topic explained very well.
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Reviewed by MathVids Staff on November 29, 2008.
 
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