Vortices with linear cores in mathematical models of excitable media

Valentin I. Krinsky; Igor R. Efimov

doi:10.1016/0378-4371(92)90252-L

Vortices with linear cores in mathematical models of excitable media

Valentin I. Krinsky^*, Igor R. Efimov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Most naturally occurring excitable media exhibit vortices in the form of spirals rotating around circular cores. Here we demonstrate that quite another type of vortices - vortices whose cores resemble a long line - may result from decreasing a small parameter in the different mathematical models of excitable media (general reaction-diffusion model, Fitz-Hugh-Nagumo equations, Beeler-Reuter model of cardiac tissue, Wiener axiomatic model, and cellular automata model).

Original language	English (US)
Pages (from-to)	55-60
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	188
Issue number	1-3
DOIs	https://doi.org/10.1016/0378-4371(92)90252-L
State	Published - Sep 1 1992
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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title = "Vortices with linear cores in mathematical models of excitable media",

abstract = "Most naturally occurring excitable media exhibit vortices in the form of spirals rotating around circular cores. Here we demonstrate that quite another type of vortices - vortices whose cores resemble a long line - may result from decreasing a small parameter in the different mathematical models of excitable media (general reaction-diffusion model, Fitz-Hugh-Nagumo equations, Beeler-Reuter model of cardiac tissue, Wiener axiomatic model, and cellular automata model).",

author = "Krinsky, {Valentin I.} and Efimov, {Igor R.}",

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AU - Krinsky, Valentin I.

AU - Efimov, Igor R.

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N2 - Most naturally occurring excitable media exhibit vortices in the form of spirals rotating around circular cores. Here we demonstrate that quite another type of vortices - vortices whose cores resemble a long line - may result from decreasing a small parameter in the different mathematical models of excitable media (general reaction-diffusion model, Fitz-Hugh-Nagumo equations, Beeler-Reuter model of cardiac tissue, Wiener axiomatic model, and cellular automata model).

AB - Most naturally occurring excitable media exhibit vortices in the form of spirals rotating around circular cores. Here we demonstrate that quite another type of vortices - vortices whose cores resemble a long line - may result from decreasing a small parameter in the different mathematical models of excitable media (general reaction-diffusion model, Fitz-Hugh-Nagumo equations, Beeler-Reuter model of cardiac tissue, Wiener axiomatic model, and cellular automata model).

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JF - Physica A: Statistical Mechanics and its Applications

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ER -

Vortices with linear cores in mathematical models of excitable media

Abstract

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