Exercises for Chaos Under Control

Chapter 5: The Order Within

In this set of exercises "TENT MAP," "LOGISTIC," and "SINE" refer to Rules and "HISTOGRAM," "BIFURCATION," and "TIMESERIES" refer to Options in the IterateAgainSam Program.

In The Logistic Map, we do numerical investigations of sensitive dependence on initial conditions for the logistic map.

In Fixed Points of the Logistic Map, we study the stability of the fixed points of the logistic map and some related functions.

In Surprises in the Dynamics of the Logistic Map, we discover fractal aspects of the bifurcation diagram of the logistic map.

In Universality, we uncover a remarkable quantitative pattern shared by many functions only vaguely similar to the logistic map.

Return to Exercises Introduction

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