Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 2.1, Problem 5E
Interpretation Introduction

Interpretation:

The mechanical system which can be governed by the equation x˙=sinx is to be found. Justify using intuition that the given mechanical system is stable and unstable at the given points.

Concept Introduction:

The equation given in the problem is a nonlinear differential equation.

The given equation should predict the behavior of the selected mechanical system.

The value of x˙ would be zero at x=0 and at x=π for the given mechanical system, as seen from the equation.

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