Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 3.4, Problem 12E
Interpretation Introduction

Interpretation:

An example of quad-furcation is to be constructed. We pointed out that the pitchfork bifurcation could be called a trifurcation since three branches of fixed points appear for r > 0.

Concept Introduction:

Bifurcation theory is used to study the stability of the dynamical systems.

Fixed points are the points where, x˙ = 0.

The phenomenon in which fixed points are created and destroyed by varying the control parameter is termed as saddle-node bifurcation.

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