Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780429972195
Author: Steven H. Strogatz
Publisher: Taylor & Francis
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Chapter 8.7, Problem 5E
Interpretation Introduction

Interpretation:

By considering appropriate Poincare map, the system θ˙ + sinθ = sint has at least two periodic solutions is to be proven and the stability of the system is to be discussed.

Concept Introduction:

Poincare maps are used to study the flow near a periodic orbit.

Poincare map is defined by xk+1 = P(xk).

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