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Generic diffusion for a class of non-convex Hamiltonians with two degrees of freedom

In this paper, we study small perturbations of a class of non-convex integrable Hamiltonians with two degrees of freedom, and we prove a result of diffusion for an open and dense set of perturbations, with an optimal time of diffusion which grows linearly with respect to the inverse of the size of the perturbation.

preprint2013arXivOpen access
Abed BounemouraVadim Kaloshin
math.DS
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Abed BounemouraVadim Kaloshin

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