Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780429972195
Author: Steven H. Strogatz
Publisher: Taylor & Francis
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Chapter 9.5, Problem 3E
Interpretation Introduction

To explore the dynamics of the Lorenz system by using computer for σ = 10, b = 8/3, 145 < r < 166.3 and plot x(t), y(t) and x vs. z graphs.

Concept Introduction:

  • ➢ Lorenz equations:-

    x˙=σ(yx)y˙=rxyxzz˙=xybzHere σ, r, b > 0

    The solution of Lorenz equations oscillates irregularly for a wide range of parameters, never exactly repeating, but always remaining in the bounded region of the phase space.

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