Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780429972195
Author: Steven H. Strogatz
Publisher: Taylor & Francis
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Chapter 10.3, Problem 12E
Interpretation Introduction

Interpretation:

Let Rn denote the value of r at which the logistic map has a superstable cycle of the period 2n.

  • a) To write an implicit, but exact, formula for Rn in terms of the point x =12 and the function f(x,r) = rx(1-x).

  • b) To find R2,R3........,R7 to five significant figures using computer and result of part a).

  • c) To find R6R5R7R6.

Concept Introduction:

  • ➢ The periodic orbit has a period p and the fixed point is the intersection point between the line and function which is not greater than the period of the orbit.

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