Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 8.6, Problem 8E
Interpretation Introduction

Interpretation:

To solve the differential equations on the computer and to plot the particle’s path in the plane with polar coordinates.

Concept Introduction:

A fixed point of a differential equation is a point where, f(x*) = 0 ; while substitution f(x*) = x˙ is used and x&*#x00A0;is a fixed point.

The winding number determines the nature of trajectory. In case of rational winding number, the trajectory is a trefoil knot while in case of irrational number, there is no closed solution.

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