Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 9.3, Problem 9E
Interpretation Introduction

Interpretation:

To estimate the largest Liapunov exponent for the Lorenz system, assuming that the parameters have their standard values r = 28, σ = 10, and b = 83, by using the numerical integration of two nearby trajectories.

Concept Introduction:

  • The Lorenz equations are given as

    x˙=σ(y - x),

    y˙=rx - xz - y,

    z˙=xy - bz

    Here, σ, r, b > 0.

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