Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780429972195
Author: Steven H. Strogatz
Publisher: Taylor & Francis
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Chapter 10.2, Problem 5E
Interpretation Introduction

Interpretation:

Plot orbit diagram for map equation xn+1= xne- rxn. Also, try different initial conditions.

Concept Introduction:

  • ➢ Standard periodic doubling: It is a discreet dynamic system equation in which a small change in a parameter values the system equation change to the new behavior with double the period of the original system.

  • ➢ Logistic map: A logistic map is defined as the polynomial map of the degree two and chaotic behavior can arise from a non-linear dynamic equation.

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