Localization of response functions of spiral waves in the FitzHugh-Nagumo system

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Localization of response functions of spiral waves in the FitzHugh-Nagumo system

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dc.contributor.author Biktasheva, I. V. en_US
dc.contributor.author Holden, A. V. en_US
dc.contributor.author Biktashev, V. N. en_US
dc.date.accessioned 2012-09-28T17:55:59Z en_US
dc.date.accessioned 2013-03-20T12:24:00Z
dc.date.issued 2005 en_US
dc.description.abstract Dynamics of spiral waves in perturbed, e. g. slightly inhomogeneous or subject to a small periodic external force, two-dimensional autowave media can be described asymptotically in terms of Aristotelean dynamics, so that the velocities of the spiral wave drift in space and time are proportional to the forces caused by the perturbation. The forces are defined as a convolution of the perturbation with the spiral's Response Functions, which are eigenfunctions of the adjoint linearised problem. In this paper we find numerically the Response Functions of a spiral wave solution in the classic excitable FitzHugh-Nagumo model, and show that they are effectively localised in the vicinity of the spiral core. en_US
dc.identifier.citation Vol. 16 (5), article 1547 en_US
dc.identifier.doi 10.1142/S0218127406015490 en_US
dc.identifier.uri http://hdl.handle.net/10036/3770 en_US
dc.publisher World Scientific Publishing en_US
dc.relation.url http://arxiv.org/abs/nlin/0504003v1 en_US
dc.relation.url http://dx.doi.org/10.1142/S0218127406015490 en_US
dc.subject Excitable media en_US
dc.subject Perturbation theory en_US
dc.subject Drift en_US
dc.subject Spiral waves en_US
dc.subject Response functions en_US
dc.subject FitzHugh–Nagumo en_US
dc.title Localization of response functions of spiral waves in the FitzHugh-Nagumo system en_US
dc.date.available 2012-09-28T17:55:59Z en_US
dc.date.available 2013-03-20T12:24:00Z
exeter.contacts.depositing-owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.depositing-owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
dc.description Preprint of an article submitted for consideration and subsequently published in International Journal of Bifurcation and Chaos © 2005 copyright World Scientific Publishing Company. http://www.worldscientific.com/worldscinet/ijbc en_US
dc.identifier.journal International Journal of Bifurcation and Chaos en_US


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