Random Wandering Around Homoclinic-like Manifolds in Symplectic Map Chain
Chaotic Dynamics
2016-09-08 v1
Abstract
We present a method to construct a symplecticity preserving renormalization group map of a chain of weakly nonlinear symplectic maps and obtain a general reduced symplectic map describing its long-time behaviour. It is found that the modulational instability in the reduced map triggers random wandering of orbits around some homoclinic-like manifolds, which is understood as the Bernoulli shifts.
Keywords
Cite
@article{arxiv.nlin/0112048,
title = {Random Wandering Around Homoclinic-like Manifolds in Symplectic Map Chain},
author = {Shin-itiro Goto and Kazuhiro Nozaki and Hiroyasu Yamada},
journal= {arXiv preprint arXiv:nlin/0112048},
year = {2016}
}
Comments
submitted to Prog. Theor. Phys