Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780429972195
Author: Steven H. Strogatz
Publisher: Taylor & Francis
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Chapter 7.3, Problem 11E
Interpretation Introduction

Interpretation:

Suppose x˙ = f(x)  is a smooth vector field on R2, plot the phase portrait for the system r˙ = r(1 - r2)[r2sin2θ + (r2cos2θ - 1)2] and θ˙ = r2sin2θ + (r2cos2θ - 1)2. Sketch vs. t for the trajectory starting away from the unit circle. Explain at t.

Concept Introduction:

  • ➢ Perform the polar to Cartesian conversion and obtain the system equation in the Cartesian form.

  • ➢ Plot the system equation.

  • ➢ Plot the vs. t plot.

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