DSpace

Digital.CSIC > Ciencia y Tecnologías Físicas > Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC) > (IFISC) Artículos >

Share

EndNote

Impact

Open Access item Bubbling and on-off intermittency in bailout embeddings

Authors:Cartwright, Julyan H. E.
Magnasco, Marcelo O.
Piro, Oreste
Tuval, Idan
Keywords:[PACS] Control of chaos, applications of chaos
Issue Date:21-Jul-2003
Publisher:American Physical Society
Citation:Physical Review E 68(1): 016217 (2003)
Abstract:We 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.
Description:7 pages, 6 figures.-- PACS nr.: 05.45.Gg.
Publisher version (URL):http://dx.doi.org/10.1103/PhysRevE.68.016217
URI:http://hdl.handle.net/10261/14843
ISSN:1539-3755
???metadata.dc.identifier.doi???:10.1103/PhysRevE.68.016217
Appears in Collections:(IACT) Artículos
(IFISC) Artículos

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.