Limit Cycles

Stephen Lynch
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Stephen Lynch: Manchester Metropolitan University School of Computing, Mathematics & Digital Technology, Department of Computing and Mathematics

Chapter Chapter 11 in Dynamical Systems with Applications using MATLAB®, 2014, pp 223-247 from Springer

Abstract: 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: Plane Limit Cycle; Phase Plane Portrait; FontSize; Nonlinear Circuit Elements; Autonomous First-order Differential Equations (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06820-6_11

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DOI: 10.1007/978-3-319-06820-6_11

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