Show simple item record

dc.contributor.authorBiktasheva, I. V.en_GB
dc.contributor.authorHolden, A. V.en_GB
dc.contributor.authorBiktashev, V. N.en_GB
dc.date.accessioned2012-09-28T17:55:59Zen_GB
dc.date.accessioned2013-03-20T12:24:00Z
dc.date.issued2006-05-01en_GB
dc.description.abstractDynamics 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_GB
dc.identifier.citationVol. 16 (5), article 1547en_GB
dc.identifier.doi10.1142/S0218127406015490en_GB
dc.identifier.urihttp://hdl.handle.net/10036/3770en_GB
dc.publisherWorld Scientific Publishingen_GB
dc.subjectExcitable mediaen_GB
dc.subjectPerturbation theoryen_GB
dc.subjectDriften_GB
dc.subjectSpiral wavesen_GB
dc.subjectResponse functionsen_GB
dc.subjectFitzHugh–Nagumoen_GB
dc.titleLocalization of response functions of spiral waves in the FitzHugh-Nagumo systemen_GB
dc.date.available2012-09-28T17:55:59Zen_GB
dc.date.available2013-03-20T12:24:00Z
dc.descriptionPreprint 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/ijbcen_GB
dc.identifier.journalInternational Journal of Bifurcation and Chaosen_GB


Files in this item

This item appears in the following Collection(s)

Show simple item record