Dissipative homoclinic loops and rank one chaos
| dc.creator | Wang, Qiudong | |
| dc.creator | Ott, William | |
| dc.date | 2008-02-28 | |
| dc.date | 2008-02-29 | |
| dc.date.accessioned | 2026-07-07T09:23:48Z | |
| dc.date.available | 2026-07-07T09:23:48Z | |
| dc.description | We prove that when subjected to periodic forcing of the form $p_{μ, \rh, \om} (t) = μ(\rh h(x,y) + \sin (\om t))$, certain second order systems of differential equations with dissipative homoclinic loops admit strange attractors with SRB measures for a set of forcing parameters $(μ, \rh, \om)$ of positive measure. Our proof applies the recent theory of rank one maps, developed by Wang and Young based on the analysis of strongly dissipative Hénon maps by Benedicks and Carleson. | |
| dc.identifier | https://arxiv.org/abs/0802.4283 | |
| dc.identifier | http://arxiv.org/abs/0802.4283 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155871 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Dissipative homoclinic loops and rank one chaos | |
| dc.type | text |