Título: | Chaotic behaviour in a singularly perturbed system |
Autores: | Bosch Vivanco, Ignacio |
Tipo de documento: | texto impreso |
Editorial: | IOP publishing ltd, 2006 |
Dimensiones: | application/pdf |
Nota general: | info:eu-repo/semantics/openAccess |
Idiomas: | |
Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Ecuaciones diferenciales , Tipo = Artículo |
Resumen: |
The aim of this paper is to present a novel type of chaos observed in a four dimensional singularly perturbed system. The chaotic behavior is described both numerically and analytically. We show the existence of a new type of strange attractor reminiscent of a chaotic behavior for a fast-slow system. Related to this we demonstrate that there is an invariant attracting region overlapping the jump manifolds of the fast system. This canonical problem was identi¯ed to be a coupled problem of two Hopf bifurcations with the fast jump process. We derive a geometric model where we can rigorously show the existence of chaotic orbits. |
En línea: | https://eprints.ucm.es/id/eprint/12860/1/2004chaotic.pdf |
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