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Título

Bubbling and on-off intermittency in bailout embeddings

AutorCartwright, Julyan H. E.; Magnasco, Marcelo O.; Piro, Oreste ; Tuval, Idan
Palabras clave[PACS] Control of chaos, applications of chaos
Fecha de publicación21-jul-2003
EditorAmerican Physical Society
CitaciónPhysical Review E 68(1): 016217 (2003)
ResumenWe establish and investigate the conceptual connection between the dynamics of the bailout embedding of a Hamiltonian system and the dynamical regimes associated with the occurrence of bubbling and blowout bifurcations. The roles of the invariant manifold and the dynamics restricted to it, required in bubbling and blowout bifurcating systems, are played in the bailout embedding by the embedded Hamiltonian dynamical system. The Hamiltonian nature of the dynamics is precisely the distinctive feature of this instance of a bubbling or blowout bifurcation. The detachment of the embedding trajectories from the original ones can thus be thought of as transient on-off intermittency, and noise-induced avoidance of some regions of the embedded phase space can be recognized as Hamiltonian bubbling.
Descripción7 pages, 6 figures.-- PACS nr.: 05.45.Gg.
Versión del editorhttp://dx.doi.org/10.1103/PhysRevE.68.016217
URIhttp://hdl.handle.net/10261/14843
DOI10.1103/PhysRevE.68.016217
ISSN1539-3755
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