Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 10.2, Problem 1E
Interpretation Introduction

Interpretation:

For all real x to show that if xn>1 for some n, then subsequent iterations diverge toward -. Also, explain why it is sensible to restrict r and x to the intervals r[0,4] and x[0,1].

Concept Introduction:

  • ➢ 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.

  • ➢ Flip bifurcation is often associated with period-doubling.

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