Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780429972195
Author: Steven H. Strogatz
Publisher: Taylor & Francis
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Chapter 2.6, Problem 2E
Interpretation Introduction

Interpretation:

For equation tt+Tf(x)dxdtdt  the periodic solutions are impossible for a vector field on a line is to be proved.

Concept Introduction:

Assume the x(t) is the periodic solution for the given equation.

By solving the equation we found that periodic solutions are impossible for a vector field on a line.

That means all trajectory are forced to remain constant.

The phase point never reverses the direction due to that periodic solution is impossible for vector field on a line.

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