Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780429972195
Author: Steven H. Strogatz
Publisher: Taylor & Francis
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Chapter 8.4, Problem 8E
Interpretation Introduction

Interpretation:

To explain why the divergence calculation for the averaged system of forced Duffing oscillator implies that the fixed points cannot be sources; only sinks andsaddles are possible.

Concept Introduction:

The divergence of a field F is denoted by . F, and it gives the rate at which the density exits a given region of space.

If the divergence of a system is positive, it represents the source, and if the divergence of a system is negative, it represents the sink. If the divergence of a system is zero, the fixed point is a saddle.

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