 visitant ::
identificació
|
|||||||||||||||
|
Cerca | Lliura | Ajuda | Servei de Biblioteques | Sobre el DDD | Català English Español | |||||||||
| Pàgina inicial > Articles > Articles publicats > On the dynamics of a model with coexistence of three attractors: a point, a periodic orbit and a strange attractor |
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) (Universidade de Lisboa. Departamento de Matemàtica)| Data: | 2017 |
| Resum: | For a dynamical system described by a set of autonomous differential equations, an attractor can be either a point, or a periodic orbit, or even a strange attractor. Recently a new chaotic system with only one parameter has been presented where besides a point attractor and a chaotic attractor, it also has a coexisting attractor limit cycle which makes evident the complexity of such a system. We study using analytic tools the dynamics of such system. We describe its global dynamics at infinity, and show that it has no Darboux first integrals. Additionally, we characterize its Hopf bifurcations. |
| Ajuts: | European Commission 318999 European Commission 316338 Ministerio de Economía y Competitividad MTM2013-40998-P Ministerio de Economía y Competitividad UNAB13-4E-1604 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 |
| Nota: | The second author is partially supported by FCT/Portugal through UID/MAT/04459/2013. |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Matèria: | Chaotic system ; Darboux integrability ; Hopf bifurcation ; Poincaré compactification |
| Publicat a: | Mathematical Physics, Analysis and Geometry, Vol. 20 Núm. 2 (2017) , p. 1-12, ISSN 1572-9656 |
14 p, 310.6 KB |
