Autonomous Stochastic Perturbations of Dynamical Systems
作者： Mark Freidlin
关键词: Mathematical analysis 、 Dynamical systems theory 、 Slow motion 、 Statistical physics 、 Stochastic process 、 Partial differential equation 、 Hamiltonian system 、 Mathematics 、 Limiting
摘要: Long-time effects of autonomous stochastic perturbations Hamiltonian systems are considered. In particular, these allow us to obtain the averaging principle for deterministic in case Hamiltonians with many critical points. The limiting slow motion this is a process even when system and purely deterministic.
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