Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780429972195
Author: Steven H. Strogatz
Publisher: Taylor & Francis
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Chapter 10.6, Problem 3E
Interpretation Introduction

Interpretation:

To plot the cobweb for the corresponding superstable 6- cycle, given that it occurs at r = 3.6275575 for the logistic map and r = 0.8811406 for the sine map. Also, find the iteration pattern for both cycles and confirm that they match.

Concept Introduction:

  • The logistic map is a difference function of the unit interval, and it is super stable at the period 2 - R cycle.

  • The logistic map and the sine map functions of the interval window are the same and they are super stable at the period 2-R cycle.

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