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}
}
  • Jean Bourgaina, Vadim Kaloshinb
  • 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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