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
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Lynch, S. (2014). Bifurcation Theory. In: Dynamical Systems with Applications using MATLAB®. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-06820-6_13
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DOI: https://doi.org/10.1007/978-3-319-06820-6_13
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-06819-0
Online ISBN: 978-3-319-06820-6
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