Titlebook: Stochastic Behavior in Classical and Quantum Hamiltonian Systems; Volta Memorial Confe Giulio Casati,Joseph Ford Conference proceedings 197

倔強(qiáng)不能

Nonporous

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,A survey of the Hénon-Heiles Hamiltonian with applications to related examples,ve some reasonable interpretation of various numerical (computer) results alongside recent mathematical techniques and results presented as they apply to this Hamiltonian. In particular, various computed periodic orbits are identified with geometrically constructed periodic orbits and rigorous concl

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Introduction

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PRE

Geodesic correction to stochastic parallel displacement of tensors,t the correction arising from geodesic deviation. Two applications are given. The first is related to the problem of diffusion of tensors on a manifold and shows that the generator of the diffusion is the Laplace-de Rham operator. The second is related to Nelson stochastic mechanics on a manifold an

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Spirometry

Semiclassical studies of bound states and molecular dynamics,volved for determining the action variables of nonseparable bound state systems, and thereby for calculating their quantum mechanical eigenvalues. Nonresonant and resonant systems are included, and surfaces of section in higher (>2) dimensional as well as in two-dimensional systems are obtained. Fur

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,Laser instabilities — an example from synergetics,us viewpoints. The second threshold, where the c.w. solution becomes unstable, is considered for two different cases: Depending on certain parameters, either regular pulses are obtained as a new ordered state or a seemingly irregular spiking occurs. In the latter case contact is made with the Lorenz model of turbulence of fluids.