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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