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Limit Cycles

  • Stephen Lynch
Chapter

Aims and Objectives

• To give a brief historical background.

• To define features of phase plane portraits.

• To introduce the theory of planar limit cycles.

• To introduce perturbation methods.

On completion of this chapter, the reader should be able to

• prove existence and uniqueness of a limit cycle;

• prove that certain systems have no limit cycles;

• interpret limit cycle behavior in physical terms;

• find approximate solutions for perturbed systems.

Keywords

Phase Portrait Perturbation Method Jordan Curve Stable Limit Cycle Heteroclinic Orbit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

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