Bifurcation Theory

  • Stephen Lynch

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.


Normal Form Hopf Bifurcation Phase Portrait Bifurcation Diagram Bifurcation Theory 
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Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

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