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# On diffusion in high-dimensional Hamiltonian systems

@inproceedings{Bourgaina2005OnDI, title={On diffusion in high-dimensional Hamiltonian systems}, author={Jean Bourgaina and Vadim Kaloshinb}, year={2005} }

- Published 2005

The purpose of this paper is to construct examples of diffusion for -Hamiltonian perturbations of completely integrable Hamiltonian systems in 2d-dimensional phase space, with d large. In the first part of the paper, simple and explicit examples are constructed illustrating absence of ‘long-time’ stability for size Hamiltonian perturbations of quasi-convex integrable systems already when the dimension 2d of phase space becomes as large as log 1 . We first produce the example in Gevrey class and… CONTINUE READING

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