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 8E
Interpretation Introduction

Interpretation:

It is to be showed that the system θ˙ = cosθ has a single-valued potential V(θ) and for θ˙ = 1, there is no single valued potential V(θ). The general rule is to be written. Also, it is to be determined when θ˙ = f(θ) would have a single valued potential.

Concept Introduction:

The function has single valued potential if its potential is periodic, that is,

V(θ) = V(θ + 2πk) kz

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