EBK NONLINEAR DYNAMICS AND CHAOS WITH S
EBK NONLINEAR DYNAMICS AND CHAOS WITH S
2nd Edition
ISBN: 9780429680151
Author: STROGATZ
Publisher: VST
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Chapter 7.2, Problem 10E
Interpretation Introduction

Interpretation:

To show thesystem x˙ = y - x3y˙ = - x - y3 has no closed orbits by constructing a Liapunov function V = ax2 + by2 with the suitable a, b.

Concept Introduction:

Construct Liapunov function V = ax2 + by2

Find V˙ by taking derivative.

Using system equation, determine V˙ and V

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