Repulsion from Resonances

作者: Dmitry Dolgopyat

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摘要: We consider slow-fast systems with periodic fast motion and integrable slow in the presence of both weak strong resonances. Assuming that initial phases are random appropriate non-degeneracy assumptions satisfied we prove effective evolution adiabatic invariants is given by a Markov process. This process consists along trajectories vector field occasional jumps. The generator limiting computed from dynamics system near

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