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  Stabilized wave segments in an excitable medium with a phase wave at the wave back

Zykov, V. S., & Bodenschatz, E. (2014). Stabilized wave segments in an excitable medium with a phase wave at the wave back. New Journal of Physics, 16, 043030-1-043030-12. doi:10.1088/1367-2630/16/4/043030.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0F47-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0F48-1
Genre: Journal Article

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 Creators:
Zykov, Vladimir S.1, Author              
Bodenschatz, Eberhard1, Author              
Affiliations:
1Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              

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Free keywords: pattern formation, nonlinear dynamics, wave segments, excitable medium
 Abstract: The propagation velocity and the shape of a stationary propagating wave segment are determined analytically for excitable media supporting excitation waves with trigger fronts and phase backs. The general relationships between the mediumʼs excitability and the wave segment parameters are obtained in the framework of the free boundary approach under quite usual assumptions. Two universal limits restricting the region of existence of stabilized wave segments are found. The comparison of the analytical results with numerical simulations of the well-known Kessler–Levine model demonstrates their good quantitative agreement. The findings should be applicable to a wide class of systems, such as the propagation of electrical waves in the cardiac muscle or wave propagation in autocatalytic chemical reactions, due to the generality of the free-boundary approach used.

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Language(s): eng - English
 Dates: 2014-04-30
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 691321
DOI: 10.1088/1367-2630/16/4/043030
 Degree: -

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Title: New Journal of Physics
  Alternative Title : NJP
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 16 Sequence Number: - Start / End Page: 043030-1 - 043030-12 Identifier: -