Bifurcation Theory

Stephen Lynch
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Stephen Lynch: Manchester Metropolitan University

Chapter Chapter 7 in Dynamical Systems with Applications using Python, 2018, pp 163-184 from Springer

Abstract: Abstract 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; animate phase portraits and plot bifurcation diagrams; take transformations to obtain simple normal forms; interpret the bifurcation diagrams in terms of physical behavior.

Date: 2018
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DOI: 10.1007/978-3-319-78145-7_7

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