EBK NONLINEAR DYNAMICS AND CHAOS WITH S
EBK NONLINEAR DYNAMICS AND CHAOS WITH S
2nd Edition
ISBN: 9780429680151
Author: STROGATZ
Publisher: VST
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Chapter 9.5, Problem 2E
Interpretation Introduction

To explore the dynamics of the Lorenz system by using computer for σ = 10, b = 8/3, r = 212 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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