Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 7.3, Problem 6E
Interpretation Introduction

Interpretation:

For the oscillator equation x¨ + F(x,x˙)x˙ + x = 0 , give physical interpretation of the assumption on F, where F(x,x˙) < 0 if  a  and F(x,x˙) > 0 if  b, r2= x2+x˙2 Show that there is at least one closed orbit in the region a < r < b .

Concept Introduction:

Identify the trapping region. In the trapping region fixed point doesn’t exist. Hence, there must a closed orbit in the region a < r < b .

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