Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 8.3, Problem 3E
Interpretation Introduction

Interpretation:

To analyze the model for the chlorine dioxide-iodine-malonic acid oscillator for the system equations x˙ = a - x - 4xy1+x2, y˙ = bx(1 - y1+x2) in the limit b << 1. Also, sketch the limit cycle in the phase plane and estimate its period.

Concept Introduction:

Chemical oscillator is an experimental type of the Hopf bifurcation in which the system is remarkable both for its spectacular behaviour and for the story behind its discovery.

If a > 0, then bifurcation is subcritical.

If a < 0, then bifurcation is supercritical.

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