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

DSpace/Manakin Repository

Open Research Exeter (ORE)

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

Please use this identifier to cite or link to this item: http://hdl.handle.net/10036/3770

Share:                 



Title: Localization of response functions of spiral waves in the FitzHugh-Nagumo system
Author: Biktasheva, I. V.
Holden, A. V.
Biktashev, V. N.
Citation: Vol. 16 (5), article 1547
Publisher: World Scientific Publishing
Journal: International Journal of Bifurcation and Chaos
Date Issued: 2005
URI: http://hdl.handle.net/10036/3770
DOI: 10.1142/S0218127406015490
Links: http://arxiv.org/abs/nlin/0504003v1 http://dx.doi.org/10.1142/S0218127406015490
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.
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
Keywords: Excitable mediaPerturbation theoryDriftSpiral wavesResponse functionsFitzHugh–Nagumo


Please note: Before reusing this item please check the rights under which it has been made available. Some items are restricted to non-commercial use. Please cite the published version where applicable.

Files in this item

Files Size Format View
0504003v1.pdf 220.5Kb PDF View/Open

This item appears in the following Collection(s)

Browse

My Account

Local Links