Normally Hyperbolic Invariant Cylinders Passing Through Multiple Resonance
Dynamical Systems
2020-01-31 v1
Abstract
We study the continuation of periodic orbits from various compound of homoclinics in classical system. Together with the homoclinics, the periodic orbits make up a -smooth, normally hyperbolic invariant cylinder with holes. It plays a key role to cross multiple resonant point.
Cite
@article{arxiv.2001.11223,
title = {Normally Hyperbolic Invariant Cylinders Passing Through Multiple Resonance},
author = {Chong-Qing Cheng and Min Zhou},
journal= {arXiv preprint arXiv:2001.11223},
year = {2020}
}