Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 7.6, Problem 11E
Interpretation Introduction

Interpretation:

To solve for x1, for the van der Pol oscillator system given by x¨ + x + ε(x2- 1)x˙ = 0, assuming that the original system had the initial conditions x(0) = 2, x˙(0) = 0.

Concept Introduction:

The van der Pol oscillator system is given by

x¨ + x + ε(x2- 1)x˙ = 0.

The equations for x˙ and x¨ are given as:

x˙ = dxdt

x¨  = d2xdt2

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