Reconnection of Stable/Unstable Manifolds of the Harper Map
Chaotic Dynamics
2009-11-11 v1
Abstract
The Harper map is one of the simplest chaotic systems exhibiting reconnection of invariant manifolds. The method of asymptotics beyond all orders (ABAO) is used to construct stable/unstable manifolds of the Harper map. When the parameter changes to the reconnection threshold, the stable/unstable manifolds are shown to acquire new oscillatory portion corresponding to the heteroclinic tangle after the reconnection.
Keywords
Cite
@article{arxiv.nlin/0501042,
title = {Reconnection of Stable/Unstable Manifolds of the Harper Map},
author = {Shigeru Ajisaka and Shuichi Tasaki},
journal= {arXiv preprint arXiv:nlin/0501042},
year = {2009}
}
Comments
24 pages, 11 figures