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dc.contributor.authorKarabacak, Ozkanen_GB
dc.contributor.authorAshwin, Peteren_GB
dc.date.accessioned2012-11-08T17:25:12Zen_GB
dc.date.accessioned2013-03-20T12:25:59Z
dc.date.issued2010en_GB
dc.description.abstractWe analyze an example system of four coupled phase oscillators and discover a novel phenomenon that we call a “heteroclinic ratchet”; a particular type of robust heteroclinic network on a torus where connections wind in only one direction. The coupling structure has only one symmetry, but there are a number of invariant subspaces and degenerate bifurcations forced by the coupling structure, and we investigate these. We show that the system can have a robust attracting heteroclinic network that responds to a specific detuning Δ between certain pairs of oscillators by a breaking of phase locking for arbitrary Δ>0 but not for Δ≤0. Similarly, arbitrary small noise results in asymmetric desynchronization of certain pairs of oscillators, where particular oscillators have always larger frequency after the loss of synchronization. We call this heteroclinic network a heteroclinic ratchet because of its resemblance to a mechanical ratchet in terms of its dynamical consequences. We show that the existence of heteroclinic ratchets does not depend on symmetry or number of oscillators but depends on the specific connection structure of the coupled system.en_GB
dc.identifier.citationVol. 20 (1), pp. 105-129en_GB
dc.identifier.doi10.1007/s00332-009-9053-2en_GB
dc.identifier.urihttp://hdl.handle.net/10036/3912en_GB
dc.language.isoenen_GB
dc.publisherSpringer Verlagen_GB
dc.relation.urlhttp://arxiv.org/abs/0811.1012v1en_GB
dc.relation.urlhttp://dx.doi.org/10.1007/s00332-009-9053-2en_GB
dc.title.alternativeHeteroclinic Ratchets in Networks of Coupled Oscillators (published title)en_GB
dc.titleHeteroclinic Ratchets in a System of Four Coupled Oscillatorsen_GB
dc.typeArticleen_GB
dc.date.available2012-11-08T17:25:12Zen_GB
dc.date.available2013-03-20T12:25:59Z
dc.identifier.issn0938-8974en_GB
dc.descriptionThe final publication is available at www.springerlink.comen_GB
dc.identifier.eissn1432-1467en_GB
dc.identifier.journalJournal of Nonlinear Scienceen_GB


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