Asymptotic expansions of unstable (stable) manifolds in time-discrete systems
| dc.creator | Goto, Shin-itiro | |
| dc.creator | Nozaki, Kazuhiro | |
| dc.date | 1999-10-18 | |
| dc.date.accessioned | 2026-07-07T02:36:02Z | |
| dc.date.available | 2026-07-07T02:36:02Z | |
| dc.description | By means of an updated renormalization method, we construct asymptotic expansions for unstable manifolds of hyperbolic fixed points in the double-well map and the dissipative Hénon map, both of which exhibit the strong homoclinic chaos. In terms of the asymptotic expansion, a simple formulation is presented to give the first homoclinic point in the double-well map. Even a truncated expansion of the unstable manifold is shown to reproduce the well-known many-leaved (fractal) structure of the strange attractor in the Hénon map. | |
| dc.description | 14pages, 7figures | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9910025 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9910025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/15774 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Asymptotic expansions of unstable (stable) manifolds in time-discrete systems | |
| dc.type | text |