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Bifurcation Theory

  • Stephen Lynch
Chapter

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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