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| Prologue: The Ground Has Shifted PART Ⅰ OVERVIEW 1 Introduction 1.1 A Quiet Revolution 1.2 Nonlinearity 2 Fractals 3 Chaos 4 Solitons 5 Pattern Formation 6 Cellular Automata 7 Complex Systems 8 Remarks and Further Reading PART Ⅱ REPRINTS 9 Fractals 9.1 Fractal Growth Processes L. M. Sander [Nature 322, 789-793 (1986)] 9.2 Fractal Geometry in Crumpled Paper Balls M. A. F. Gornes [Am. J. Phys. 55,649 650 (1987)] 9.3 Fractal of Large Scale Structures in the Universe L. Z. Fang [Mod. Phys. Lett. A1,601 605 (1986)] 9.4 The Devil's Staircase P. Bak [Phys. Today 39(12), 38-45 (1986)] 9.5 Multifractal Phenomena in Physics and Chemistry H. E. Stanley and P. Meakin [Nature 335,405-409 (1988)] 9.6 Simple Multifractals with Sierpinski Gasket Supports L. Lam, R. D. Freimuth and J. L. Drake [unpublished (1992)] 10 Chaos 10.1 Chaos J. P. Crutchfield, J. D. Farmer, N. H. Packard and R. S. Shaw [Sci. Am. 254(12), 46 58 (1986)] 10.2 Chaos in a Dripping Faucet H. N. Nunez Yepez, A. L. Salas Brito, C. A. Vargas and L. A. Vicente [Eur. J. Phys. 10, 99-105 (1989)] 10.3 Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics C. Grebogi, E. Ott and J. A. Yorke [Science 238, 632-638 (1987)] 10.4 Nonlinear Forecasting as a Way of Distinguishing Chaos from Measurement Error in Time Series G. Sugihara and R. M. May [Nature 344, 734-741 (1990)] 10.5 Controlling Chaos E. Ott and M. Spano [Phys. Today 48(5), 34 40 (1995)] 10.6 Quantum Chaos M. C. Gutzwiller [Sci. Am. 266(1), 78-84 (1992)] 10.7 How Random is a Coin Toss? J. Ford [Phys. Today 36(4), 40 47 (1983)] 11 Solitons 11.1 Solitons R. g. Bullough [Phys. Bulletin, 78-82 (Feb. 1978)] 11.2 Soliton Propagation in Liquid Crystals Lin Lei (L. Lain), Shu Changqing, Shen Juelian, P. M. Lam and Huang Yun [Phys. Rev. Lett. 49, 1335-1338 (1982); ibid. 52, 2190(E) (1984)] 11.3 Possible Relevance of Soliton Solutions to Superconductivity T. D. Lee [Nature 330, 460 461 (1987)] 12 Pattern Formation 12.1 Dendrites, Viscous Fingers, and the Theory of Pattern Formation J. S. Langer [Science 243, 1150-1156 (1989)] 12.2 Tip Splitting Without Interracial Tension and Dendritic Growth Patterns Arising from Molecular Anisotropy J. Nittmann and H. E. Stanley [Nature 321, 663 668 (1986)] PART Ⅲ PROJECTS Appendices Acknowledgments Index |
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