## Chaos/xaoc: Soviet-American perspectives on nonlinear scienceAs the head of the theory group at Los Alamos, Hans A. Bethe played a central role in the dawn of the Nuclear Age. In the 50 years since, he has played an equally central role in the debate over the use and control of this new power. This volume collects together Bethe's best essays on the bomb, arms control, nuclear power and astrophysics. It also includes his reflections on science and morality and his comments on five fellow physicists. Of interest to physicists, particularly those working in nuclear physics and astrophysics, historians and philosophers of science, science policy makers, environmentalists, those concerned with disarmament and the role of science in society, and general science readers. |

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### Contents

Universality beyond the onset of chaos | 37 |

Thermodynamic formalism for critical circle mappings | 71 |

Two meanings of multifractality and the notion | 79 |

Copyright | |

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### Common terms and phrases

a-congruence algorithm analysis approximation Arnold Tongues atoms automaton rules behavior bifurcations breather cell cellular automata chaotic circle map classical corresponding cycles defined denote described determined deviant block dimension discrete domain dynamical systems eigenvalues entropy equation ergodic theory evolution example experimental exponential finite initial conditions fixed point flow fractal fractal dimension frequency Hamiltonian integration interaction interval ionization isomorphic iteration lattice Lett linear Lyapunov exponent magnetic field Math measure microwave motion multifractal Newton's method nonlinear numerical analysis observed parameter space partition path of influence patterns periodic orbits periodic points perturbation phase space Phys physical plane problem properties quantal quantum chaos random Regime region resonance rotation Rule 18 Rule 90 scaling function shown in Fig solution spatial sequence stability stochastic strange attractor structure symbolic dynamics temporal sequences theorem theory tion topological trajectories turbulence unstable values variable winding number