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Chaos and Fractals
Mark McClure
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Contents
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Front Matter
Preface
1
Introduction
Surprise in Newton's method
The scope of chaos
Exercises
2
The iteration of real functions
Basic notions
Computer experimentation
Graphical analysis
Classification of fixed points
Classification of periodic orbits
Parameterized families of functions
Conjugacy
The doubling map and chaos
A closer look at the bifurcation diagram
Tent Maps
A few notes on computation
Exercises
3
Self-similarity
Another look at the Cantor set
Authored in PreTeXt
Section
2.9
A closer look at the bifurcation diagram
The bifurcation diagram of figure
Figure 2.26
is truly amazing.