EBK NONLINEAR DYNAMICS AND CHAOS WITH S
EBK NONLINEAR DYNAMICS AND CHAOS WITH S
2nd Edition
ISBN: 9780429680151
Author: STROGATZ
Publisher: VST
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Chapter 12.3, Problem 1E
Interpretation Introduction

Interpretation:

To explore the Rossler system numerically. Fix b=2, c=4, and increase a in small steps from 0 to 0.4.

  1. To find the approximate value of a at the Hopf bifurcation and at the first period-doubling bifurcation.

  2. To plot the attractor for each a and plot time series z(t).

Concept Introduction:

  • The Rossler system is expressed by the following expressions,

    x˙=-y-x

    y˙=x+ay

    z˙=b+z(x-c)

    Here, abandc is the control parameter.

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