A way to cross double resonance
Dynamical Systems
2015-10-30 v1
Abstract
For typical perturbations of convex integrable Hamiltonian system with three degrees of freedom, a path of diffusion is established to cross strong double resonant point. Together with the uniform hyperbolicity of invariant cylinders got in \cite{C15}, one obtains a transition chain along which one is able to construct diffusion orbits suggested in \cite{A66}.
Cite
@article{arxiv.1510.08754,
title = {A way to cross double resonance},
author = {Chong-Qing Cheng},
journal= {arXiv preprint arXiv:1510.08754},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1207.4016