Route to Chaos in Three-Dimensional Maps of Logistic Type

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dc.creatorFournier-Prunaret, Daniele
dc.creatorLopez-Ruiz, Ricardo
dc.creatorTaha, Abdel-Kaddous
dc.date2005-02-07
dc.date.accessioned2026-07-07T05:36:16Z
dc.date.available2026-07-07T05:36:16Z
dc.descriptionA route to chaos is studied in 3-dimensional maps of logistic type. Mechanisms of period doubling for invariant closed curves (ICC) are found for specific 3-dimensional maps. These bifurcations cannot be observed for ICC in the 2-dimensional case. When the parameter of the system is modified, localized oscillations occur on the ICC that give rise to weakly chaotic rings, then to chaotic attractors, which finally disappear by contact bifurcations. These maps can be considered as models for the symbiotic interaction of three species.
dc.description8 pages, 15 figures
dc.identifierhttps://arxiv.org/abs/nlin/0502012
dc.identifierhttp://arxiv.org/abs/nlin/0502012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80932
dc.subjectChaotic Dynamics
dc.subjectDynamical Systems
dc.subjectPattern Formation and Solitons
dc.subjectPopulations and Evolution
dc.titleRoute to Chaos in Three-Dimensional Maps of Logistic Type
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