Repulsion From resonances
摘要
We consider slow-fast systems with periodic fast motion and integrable slow motion in the presence of both weak and strong resonances. Assuming that the initial phases are random and that appropriate non-degeneracy assumptions are satisfied we prove that the effective evolution of the adiabatic invariants is given by a Markov process. This Markov process consists of the motion along the trajectories of a vector field with occasional jumps. The generator of the limiting process is computed from the dynamics of the system near strong resonances.
引用本文（GB/T 7714）
Dmitry Dolgopyat. Repulsion From resonances[J]. Mémoires de la Société mathématique de France, 2012.
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