Heteroclinic Ratchets in Networks of Coupled Oscillators (published title)

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Heteroclinic Ratchets in Networks of Coupled Oscillators (published title)

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dc.contributor.author Karabacak, Ozkan en_US
dc.contributor.author Ashwin, Peter en_US
dc.date.accessioned 2012-11-08T17:25:12Z en_US
dc.date.accessioned 2013-03-20T12:25:59Z
dc.date.issued 2010 en_US
dc.description.abstract We 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.citation Vol. 20 (1), pp. 105-129 en_GB
dc.identifier.doi 10.1007/s00332-009-9053-2 en_US
dc.identifier.uri http://hdl.handle.net/10036/3912 en_US
dc.language.iso en en_GB
dc.publisher Springer Verlag en_GB
dc.relation.url http://arxiv.org/abs/0811.1012v1 en_GB
dc.relation.url http://dx.doi.org/10.1007/s00332-009-9053-2 en_GB
dc.title.alternative Heteroclinic Ratchets in Networks of Coupled Oscillators (published title) en_GB
dc.title Heteroclinic Ratchets in a System of Four Coupled Oscillators en_GB
dc.type Article en_GB
dc.date.available 2012-11-08T17:25:12Z en_US
dc.date.available 2013-03-20T12:25:59Z
dc.identifier.issn 0938-8974 en_US
exeter.contacts.depositing-owner-email Ashwin, Peter <P.Ashwin@exeter.ac.uk> en_US
exeter.contacts.owner-email Ashwin, Peter <P.Ashwin@exeter.ac.uk> en_US
dc.description The final publication is available at www.springerlink.com en_GB
dc.identifier.eissn 1432-1467 en_US
dc.identifier.journal Journal of Nonlinear Science en_GB
pubs.organisational-data /Exeter en_US
pubs.organisational-data /Exeter/College of Engineering, Mathematics & Physical Sciences en_US
pubs.organisational-data /Exeter/College of Engineering, Mathematics & Physical Sciences/All Academic Staff (CEMPS) en_US
pubs.organisational-data /Exeter/College of Engineering, Mathematics & Physical Sciences/All Researchers (R+T&R) (CEMPS) en_US
pubs.organisational-data /Exeter/College of Engineering, Mathematics & Physical Sciences/Mathematics (Exeter) en_US


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