Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 4.1, Problem 7E
Interpretation Introduction

Interpretation:

To find and classify all the fixed points of the vector field θ˙ = sin kθ, where k is a positive integer. To sketch the phase portrait on the circle.

Concept Introduction:

The vector field on the circle can be represented by θ˙ = f(θ).

Fixed points are the points where θ˙ = 0.

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