Diffusion time and splitting of separatrices for nearly integrable isochronous Hamiltonian systems
Dynamical Systems
2007-05-23 v1 Symplectic Geometry
Abstract
We consider the problem of Arnold's diffusion for nearly integrable isochronous Hamiltonian systems. We prove a shadowing theorem which improves the known estimates for the diffusion time. We also justify for three time scales systems that the splitting of the separatrices is correctly predicted by the Poincare'-Melnikov function.
Keywords
Cite
@article{arxiv.math/0009176,
title = {Diffusion time and splitting of separatrices for nearly integrable isochronous Hamiltonian systems},
author = {Massimiliano Berti and Philippe Bolle},
journal= {arXiv preprint arXiv:math/0009176},
year = {2007}
}
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7 pages