Chaos/xaoc: Soviet-American perspectives on nonlinear science
As 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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Universality beyond the onset of chaos
Thermodynamic formalism for critical circle mappings
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a-congruence algorithm analysis approximate atoms automaton rules behavior Bernoulli shifts bifurcations breather cell cellular automata chaotic circle map classical corresponding cycles defined denote described determined deviant block dimension discrete distribution domain dynamical systems eigenvalues entropy equation ergodic ergodic theory evolution example experimental exponential finite initial conditions fixed point flow fractal fractal dimension frequency function Hamiltonian integration interaction interval ionization isomorphic iteration lattice Lebesgue measure Lett linear Lyapunov exponent magnetic field Math measure microwave motion multifractal nonlinear numerical analysis observed parameter space partition path of influence patterns periodic orbits perturbation phase space Phys physical plane problem properties quantal quantum chaos quasiperiodic random Regime region resonance Rule 18 Rule 90 scale shown in Fig solution spatial sequence spectrum stability stochastic strange attractor structure symbolic dynamics temporal sequences theorem theory tion topological torus trajectories turbulence unstable values variable