Analytical Expression for Low-dimensional Resonance Island in 4-dimensional Symplectic Map
Chaotic Dynamics
2009-11-11 v1
Abstract
We study a 2- and a 4-dimensional nearly integrable symplectic maps using a singular perturbation method. Resonance island structures in the 2- and 4- dimensional maps are successfully obtained. Those perturbative results are numerically confirmed.
Keywords
Cite
@article{arxiv.nlin/0512073,
title = {Analytical Expression for Low-dimensional Resonance Island in 4-dimensional Symplectic Map},
author = {Shin-itiro Goto},
journal= {arXiv preprint arXiv:nlin/0512073},
year = {2009}
}
Comments
To appear in Prog. Theor. Phys