Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 3.4, Problem 15E
Interpretation Introduction

Interpretation:

For the system x˙ = rx + x3 - x5, the value of rc is to be calculated, where rc is defined by the condition that V has three equally deep wells, i.e., the values of V at the three local minima are equal.

Concept Introduction:

The potential is defined as x˙ = f(x) = -dVdx.

Critical points occur when dVdx = 0.

Local minima occur when d2Vdx2 > 0.

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