Renormalization Analysis of Resonance Structure in 2-D Symplectic Map
Chaotic Dynamics
2009-11-10 v1
Abstract
A symplecticity-preserving RG analysis is carried out to study a resonance structure near an elliptic fixed point of a proto-type symplectic map in two dimensions. Through analyzing fixed points of a reduced RG map, a topology of the resonance structure such as a chain of resonant islands can be determined analytically. An application of this analysis to the Henon map is also presented.
Cite
@article{arxiv.nlin/0309072,
title = {Renormalization Analysis of Resonance Structure in 2-D Symplectic Map},
author = {Tsuyoshi Maruo and Shin-itiro Goto and Kazuhiro Nozaki},
journal= {arXiv preprint arXiv:nlin/0309072},
year = {2009}
}
Comments
10 pages