Bifurcation Theory

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

Chapter Chapter 13 in Dynamical Systems with Applications using MATLAB®, 2014, pp 265-282 from Springer

Abstract: Abstract Aims and Objectives • To introduce bifurcation theory of continuous systems in the plane. • To introduce the notion of steady-state solution and investigate multistability and bistability • To introduce the theory of normal forms On completion of this chapter, the reader should be able to • describe how a phase portrait changes as a parameter changes • plot bifurcation diagrams • take transformations to obtain simple normal forms • interpret the bifurcation diagrams in terms of physical behavior

Keywords: Normal Form; Hopf Bifurcation; Phase Portrait; Bifurcation Diagram; Stable Limit Cycle (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-06820-6_13

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