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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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Published in: | Physical review. E 2018-03, Vol.97 (3-1), p.030201-030201 |
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Main Authors: | , |
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. |
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ISSN: | 2470-0053 |
DOI: | 10.1103/PhysRevE.97.030201 |