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Periodic sequence of stabilized wave segments in an excitable medium

Numerical computations show that a stabilization of a periodic sequence of wave segments propagating through an excitable medium is possible only in a restricted domain within the parameter space. By application of a free-boundary approach, we demonstrate that at the boundary of this domain the para...

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Bibliographic Details
Published in:Physical review. E 2018-03, Vol.97 (3-1), p.030201-030201
Main Authors: Zykov, V S, Bodenschatz, E
Format: Article
Language:English
Online Access:Get full text
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Summary:Numerical computations show that a stabilization of a periodic sequence of wave segments propagating through an excitable medium is possible only in a restricted domain within the parameter space. By application of a free-boundary approach, we demonstrate that at the boundary of this domain the parameter H introduced in our Rapid Communication is constant. We show also that the discovered parameter predetermines the propagation velocity and the shape of the wave segments. The predictions of the free-boundary approach are in good quantitative agreement with results from numerical reaction-diffusion simulations performed on the modified FitzHugh-Nagumo model.
ISSN:2470-0053
DOI:10.1103/PhysRevE.97.030201