Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 7.2, Problem 12E
Interpretation Introduction

Interpretation:

To show that x˙=x+2y32y4, y˙=xy+xy has no periodic solutions.

Concept Introduction:

Positive definiteis a continuously differentiable real value function V(x,y).

The function V(x,y) can be represented as V=xm+ayn if the power term of the function is even.

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