Bifurcation Theory

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

Chapter 6 in Dynamical Systems with Applications using Maple¿, 2010, pp 129-145 from Springer

Abstract: Aims and Objectives • To introduce bifurcation theory 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; Bifurcation Theory (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-8176-4605-9_7

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