Szczegóły publikacji
Opis bibliograficzny
Numerical study of coexisting attractors for the Hénon map / Zbigniew GALIAS, Warwick Tucker // International Journal of Bifurcation and Chaos ; ISSN 0218-1274. — 2013 — vol. 23 no. 7, s. 1330025-1–1330025-18. — Bibliogr. s. 1330025-18
Autorzy (2)
- AGHGalias Zbigniew
- Tucker Warwick
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 77309 |
|---|---|
| Data dodania do BaDAP | 2013-11-26 |
| Tekst źródłowy | URL |
| DOI | 10.1142/S0218127413300255 |
| Rok publikacji | 2013 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | International Journal of Bifurcation and Chaos |
Abstract
The question of coexisting attractors for the Henon map is studied numerically by performing an exhaustive search in the parameter space. As a result, several parameter values for which more than two attractors coexist are found. Using tools from interval analysis, we show rigorously that the attractors exist. In the case of periodic orbits, we verify that they are stable, and thus proper sinks. Regions of existence in parameter space of the found sinks are located using a continuation method; the basins of attraction are found numerically.
