| Prologue: The Ground Has Shifted | p. 1 |
| Overview | p. 3 |
| Introduction | p. 5 |
| Fractals | p. 11 |
| Chaos | p. 17 |
| Solitons | p. 23 |
| Pattern Formation | p. 27 |
| Cellular Automata | p. 35 |
| Complex Systems | p. 37 |
| Remarks and Further Reading | p. 43 |
| Reprints | p. 47 |
| Fractals | p. 51 |
| Fractal Growth Processes | p. 51 |
| Fractal Geometry in Crumpled Paper Balls | p. 56 |
| Fractal of Large Scale Structures in the Universe | p. 58 |
| The Devil's Staircase | p. 63 |
| Multifractal Phenomena in Physics and Chemistry | p. 71 |
| Simple Multifractals with Sierpinski Gasket Supports | p. 76 |
| Chaos | p. 92 |
| Chaos | p. 92 |
| Chaos in a Dripping Faucet | p. 104 |
| Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics | p. 111 |
| Nonlinear Forecasting as a Way of Distinguishing Chaos from Measurement Error in Time Series | p. 118 |
| Controlling Chaos | p. 125 |
| Quantum Chaos | p. 132 |
| How Random is a Coin Toss? | p. 139 |
| Solitons | p. 147 |
| Solitons | p. 147 |
| Soliton Propagation in Liquid Crystals | p. 152 |
| Possible Relevance of Soliton Solutions to Superconductivity | p. 157 |
| Pattern Formation | p. 159 |
| Dendrites, Viscous Fingers, and the Theory of Pattern Formation | p. 159 |
| Tip Splitting Without Interfacial Tension and Dendritic Growth Patterns Arising from Molecular Anisotropy | p. 166 |
| Oblique Roll Instability in an Electroconvective Anisotropic Fluid | p. 172 |
| Critical Behavior in the Transitions to Convective Flows in Nematic Liquid Crystals | p. 176 |
| Chemical Waves | p. 187 |
| Cellular Automata and Complex Systems | p. 193 |
| More is Different | p. 193 |
| Cellular Automata as Models of Complexity | p. 197 |
| Catastrophes and Self-Organized Criticality | p. 203 |
| Active-Walker Models: Growth and Form in Nonequilibrium Systems | p. 207 |
| Active Walks and Path Dependent Phenomena in Social Systems | p. 215 |
| Projects | p. 223 |
| Computational | p. 229 |
| Fractals | p. 229 |
| The Chaos Game and Sierpinski Gasket | p. 229 |
| Iteration Maps and the Sierpinski Fractals | p. 231 |
| Calculating the Box Dimension | p. 237 |
| Diffusion-Limited Aggregates in Radial Geometry | p. 240 |
| The Dielectric Breakdown Model with Noise Reduction | p. 245 |
| Chaos | p. 257 |
| The Tent Map | p. 257 |
| The Waterwheel | p. 260 |
| Pattern Formation | p. 271 |
| Biased Random Walks | p. 271 |
| Surface Tension and the Evolution of Deformed Water Drops | p. 275 |
| Ising-like Model of Ferrofluid Patterns | p. 279 |
| Cellular Automata | p. 283 |
| One-Dimensional Totalistic Cellular Automata | p. 283 |
| Two-Dimensional Cellular Automata: Formation of Clusters | p. 286 |
| Theoretical | p. 291 |
| Curve Length and the Scaling Parameter | p. 291 |
| Analysis of the Back-Propagating Neural Network for the XOR Problem | p. 294 |
| Experimental | p. 301 |
| Instabilities of Finite Water Columns | p. 301 |
| Viscous Fingering in Optical Cement Displaced by Water | p. 308 |
| The Fractal Nature of Shock-Wave Induced Fractures | p. 315 |
| Epilogue: The Real World | p. 319 |
| Computer Program for Active Walk | p. 321 |
| Publications from Nonlinear Physics Group of SJSU | p. 328 |
| Acknowledgments | p. 333 |
| Index | p. 335 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
