Limit Cycles

Stephen Lynch ()
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Stephen Lynch: Manchester Metropolitan University, Department of Computing and Mathematics

Chapter 4 in Dynamical Systems with Applications using Maple¿, 2010, pp 87-111 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-8176-4605-9_5

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