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dc.contributor.authorAshwin, Peteren_GB
dc.contributor.authorBreakspear, Michaelen_GB
dc.contributor.departmentUniversity of Exeter (at the time of publication Peter Ashwin was at the University of Surrey); University of Surreyen_GB
dc.date.accessioned2008-03-06T16:43:26Zen_GB
dc.date.accessioned2011-01-25T10:33:19Zen_GB
dc.date.accessioned2013-03-20T12:28:35Z
dc.date.issued2001en_GB
dc.description.abstractWe consider some general properties of chaotic attractors with riddled basins of attraction (basins with positive measure but open dense complements) in dynamical systems with symmetries. We investigate how a basin of attraction can be riddled in some directions and not in others if the attractor is contained in the intersection of several invariant subspaces. This means that the extreme sensitivity to added noise (bubbling) associated with riddled basin attractors is in fact strongly dependent on the nature of the noise. We discuss examples of this for systems of globally coupled maps.en_GB
dc.identifier.citation280 (3), pp. 139-145en_GB
dc.identifier.doi10.1016/S0375-9601(01)00043-3en_GB
dc.identifier.urihttp://hdl.handle.net/10036/20014en_GB
dc.language.isoenen_GB
dc.publisherElsevieren_GB
dc.relation.urlhttp://dx.doi.org/10.1016/S0375-9601(01)00043-3en_GB
dc.subjectcoupled logistic mapsen_GB
dc.subjectblowout bifurcationen_GB
dc.subjectchaotic attractorsen_GB
dc.subjectdynamical systemsen_GB
dc.subjectsynchronizationen_GB
dc.subjectsymmetryen_GB
dc.titleAnisotropic properties of riddled basinsen_GB
dc.typeArticleen_GB
dc.date.available2008-03-06T16:43:26Zen_GB
dc.date.available2011-01-25T10:33:19Zen_GB
dc.date.available2013-03-20T12:28:35Z
dc.identifier.issn0375-9601en_GB
dc.descriptionCopyright © 2001 Elsevier. NOTICE: This is the author’s version of a work accepted for publication by Elsevier. Changes resulting from the publishing process, including peer review, editing, corrections, structural formatting and other quality control mechanisms, may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physics Letters A, Vol 280, Issue 3, 2001, DOI: 10.1016/S0375-9601(01)00043-3en_GB
dc.identifier.journalPhysics Letters Aen_GB


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