## Deterministic chaos: an introductionThis is the revised and updated 3rd edition of this highly regarded textbook. A new chapter on controlling chaos has been added. Translations into Japanese, Chinese, German, Russian and Polish demonstrate the international interest in this book. From reviews of former editions: In this book, Schuster gives a very useful summary of the main ideas of the subject as it now stands. Although a physist by training and style, he organizes his treatment by the logic of the mathematics, which is based on the concept of a dynamical system. Students about to begin research into chaos, and practising scientists new to the subject, will find this book well worth reading. Nature This text sets a standard which other authors and publishers in physics should strive to meet. Physics Bulletin |

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### Contents

Introduction l | 1 |

Experiments and Simple Models | 7 |

Piecewise Linear Maps and Deterministic Chaos | 21 |

Copyright | |

11 other sections not shown

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### Common terms and phrases

amplitude average Benard experiment calculated cat map cell chaotic behavior chaotic motion Chapter circle map classical control parameter corresponding cycle described deterministic chaos dimensional dissipative systems eigenvalues entropy eqns ergodic example experimental Feigenbaum constants Feigenbaum route finite fractal frequency function Hamiltonian Hausdorff dimension Henon map Hopf bifurcations initial conditions integral intermittency invariant density irrational irregular iterates kicked rotator Kolmogorov entropy Liapunov exponent linear logistic map Lorenz model measure mechanics mode locking obtain oscillators parameter values period doubling perturbation phase space pitchfork bifurcations Poincare map power spectrum quadratic quantum systems quasiperiodicity to chaos rational renormalization renormalization-group route to chaos Ruelle scaling sensitive dependence sequence shown in Fig shows signal stable strange attractor subharmonics theorem tion tori torus trajectory transformation transition from quasiperiodicity transition to chaos universal unstable fixed point unstable periodic orbits variables winding number yields zero