## Chaos: The New ScienceThe role of chaos in science and mathematics is examined in detail by the essays that comprise this work. Distinguished scholars specializing in mathematics, physics, and chemistry discuss the following subjects: Fractals, by Benoit Mandelbrot; The Causality Principle, Deterministic Laws and Chaos, by Heinz-Otto Peitgen; The Transition to Chaos, by Mitchell Feigenbaum; Time, Dynamics and Chaos: Integrating Poincare's 'Non-Integrable Systems', by Ilya Prigogine; What Is Chaos, by Steve Smale; Chaos and Cosmos: A Theological Approach, by John Polkinghorne; and Chaos and Beyond, by James Gleick. Introduction by John Holte. This volume is number 26 in the Nobel Conference Series. |

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### Contents

The Causality Principle Deterministic Laws and Chaos | 35 |

The Transition to Chaos | 45 |

What Is Chaos? | 89 |

Copyright | |

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attractor B.B. Mandelbrot Baker transformation basic become behavior Benoit Mandelbrot broken time symmetry called chaos theory chaotic dynamics chaotic systems classical coastline collisions complex complicated correlations curve describe deterministic chaos dimension dissipative chaos dynamical systems eigenvalues equations equilibrium example experience Feigenbaum Figure fluid formulation fractal geometry fundamental gasket Hamiltonian Heinz-Otto Peitgen homoclinic point idea Ilya Prigogine initial conditions insight instability integrable systems interaction involves irreversibility James Gleick John Polkinghorne Julia set large Poincare laws lecture linear Mandelbrot set mathematicians mathematics metaphysical microscopic Mitchell Feigenbaum models motion nature Nobel Conference non-integrable nonlinear Petrosky phenomena physical world physicists Poincare's Polkinghorne precisely predict Prigogine problem proof qualitative quantum mechanics quantum theory question random resonances river role scientists self-similar sense shapes simple speak statistical Steve Smale structure theology theorem things transition to chaos turbulence uncertainty principle understanding universe unpredictable wave function weather