Table of Contents
Preface ix
Overview: Dynamics of Simple Maps
ROBERT L. DEVANEY 1
Nonlinear Oscillations and the Smale Horseshoe Map
PHILIP J. HOLMES 25
Fractal Basin Boundaries and Chaotic Attractors
KATHLEEN T. ALLIGOOD AND JAMES A. YORKE 41
Julia Sets
LINDA KEEN 57
The Mandelbrot Set
BODIL BRANNER 75
Introduction to Fractals
JENNY HARRISON 107
Iterated Function Systems
MICHAEL F. BARNSLEY 127
Index 145
Vll
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