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p. 8—Edward N. Lorenz/Adolph E. Brotman; p. 18—Adolph E. Brotman; p. 20—Adolph E. Brotman; p. 22—James P. Crutchfield/Adolph E. Brotman; p. 43—Irving R. Epstein; p. 44—H. Bruce Stewart and J. M. Thompson, Nonlinear Dynamics and Chaos (Chichester; Wiley, 1986); p. 57—Adolph E. Brotman; p. 66—James P. Crutchfield/Adolph E. Brotman; p. 68, 69—James P. Crutchfield/Nancy Sterngold; p. 72—Robert May; p. 80—W. J. Youden; p. 89—Benoit Mandelbrot, The Fractal Geometry of Nature (New York: Freeman, 1977); p. 93—Richard F. Voss; p. 97—Benoit Mandelbrot; p. 100—Benoit Mandelbrot; p. 129—Jerry Gollub, Harry Swinney; pp. 135, 136, 137—Adolph E. Brotman; p. 143—Edward N. Lorenz; p. 146—James P. Crutchfield/Adolph E. Brotman; p. 152— Michel Henon; p. 155—James P. Crutchfield; p. 182—H. Bruce Stewart, J. M. Thompson/Nancy Sterngold; p. 198—Albert Libchaber; p. 206—Theodor Schwenk, Sensitive Chaos, Copyright © 1965 by Rudolf Steiner Press, by permission of Schocken Books Inc.; p. 207—D’Arcy Wentworth Thompson, On Growth and Form (Cambridge: Cambridge University Press, 1961); p. 213—Predrag Cvitanovic/Adolph E. Brotman; p. 214—Albert Libchaber; p. 227—Heinz-Otto Peitgen, Peter H. Richter; p. 229—Heinz-Otto Peitgen, Peter H. Richter, The Beauty of Fractals (Berlin: Springer- Verlag, 1986); pp. 232, 233—Benoit Mandelbrot; pp. 237 and 238: John Milnor; p. 246—James A. Yorke; p. 250—Michael Barnsley; p. 267—Julio M. Ottino; p. 302—Arthur Winfree; pp. 308, 309— James A. Yorke; pp. 310, 311—Theodor Schwenk, Sensitive Chaos, Copyright © 1965 by Rudolph Steiner Press, by permission of Schocken Books Inc.; p. 325—Oscar Kapp, inset: Shoudon Liang; pp. 326, 327—Martin Glicksman/Fereydoon Family, Daniel Platt, Tamas Vicsek
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彩插版权
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p. 1 of insert—Heinz-Otto Peitgen [Lorenz attractor], Benoit Mandelbrot, The Fractal Geometry of Nature (New York: Freeman, 1977) [Koch curve]; pp. 2-5—Heinz-Otto Peitgen, Peter H. Richter, The Beauty of Fractals (Berlin: Springer-Verlag, 1986) [Mandelbrot sequence]; p. 6—Scott Burns, Harold E. Benzinger, Julian Pal-more [Newton’s method]; p. 7—Richard F. Voss [Percolation cluster]; p. 8— National Aeronautic and Space Administration [Jupiter], Philip Marcus [red spot simulation]
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混沌:开创一门新科学 彩插
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洛伦茨吸引子
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科赫曲线
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© Henz-Otto Peitgen, Peter H. Richter
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曼德尔布罗特集合
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在越来越精细的尺度上所做的一段探索,展示了这个集合逐渐增加的复杂性,包括那些海马尾巴般的螺旋以及孤悬海外的、与整个集合很相像的岛屿状“分子”。等到最后一帧,放大倍数已经达到一百万倍的水平。
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© Henz-Otto Peitgen, Peter H. Richter
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© Henz-Otto Peitgen, Peter H. Richter
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© Henz-Otto Peitgen, Peter H. Richter
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