Reconnection of Unstable/Stable Manifolds of the Harper Map
| dc.creator | Ajisaka, S. | |
| dc.creator | Tasaki, S. | |
| dc.date | 2006-06-12 | |
| dc.date.accessioned | 2026-07-07T07:18:33Z | |
| dc.date.available | 2026-07-07T07:18:33Z | |
| dc.description | 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 unstable/stable manifolds of the Harper map. By enlarging the neighborhood of a singularity, the perturbative solution of the unstable manifold is expressed as a Borel summable asymptotic expansion in a sector including $t=-\infty$ and is analytically continued to the other sectors, where the solution acquires new terms describing heteroclinic tangles. When the parameter changes to the reconnection threshold, the unstable/stable manifolds are shown to acquire new oscillatory portion corresponding to the heteroclinic tangle after the reconnection. | |
| dc.description | 38 pages, 9 figures: revised version of nlin/0501042 | |
| dc.identifier | https://arxiv.org/abs/nlin/0606030 | |
| dc.identifier | http://arxiv.org/abs/nlin/0606030 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114337 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Reconnection of Unstable/Stable Manifolds of the Harper Map | |
| dc.type | text |