Transition from circular to linear rotation of a vortex in an excitable cellular medium

V. G. Fast; I. R. Efimov; V. I. Krinsky

doi:10.1016/0375-9601(90)90183-O

Transition from circular to linear rotation of a vortex in an excitable cellular medium

V. G. Fast^*, I. R. Efimov, V. I. Krinsky

^*Corresponding author for this work

Biomedical Engineering

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

38 Scopus citations

Abstract

We have studied the shape of a vortex core in a modified cellular automata model of the Wiener type including nonlocal space connections and a relative refractory period. We have found that a transition from circular to linear vortex core may be obtained by changing the parameters of the model. In particular, by increasing the excitability at constant refractory period the vortex core shape changes from circular at low excitability to the Wiener type linear core at high excitability. At intermediate values of excitability, cycloidal and "Z" type rotations occur.

Original language	English (US)
Pages (from-to)	157-161
Number of pages	5
Journal	Physics Letters A
Volume	151
Issue number	3-4
DOIs	https://doi.org/10.1016/0375-9601(90)90183-O
State	Published - Dec 3 1990

ASJC Scopus subject areas

Physics and Astronomy(all)

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abstract = "We have studied the shape of a vortex core in a modified cellular automata model of the Wiener type including nonlocal space connections and a relative refractory period. We have found that a transition from circular to linear vortex core may be obtained by changing the parameters of the model. In particular, by increasing the excitability at constant refractory period the vortex core shape changes from circular at low excitability to the Wiener type linear core at high excitability. At intermediate values of excitability, cycloidal and {"}Z{"} type rotations occur.",

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AU - Fast, V. G.

AU - Efimov, I. R.

AU - Krinsky, V. I.

PY - 1990/12/3

Y1 - 1990/12/3

N2 - We have studied the shape of a vortex core in a modified cellular automata model of the Wiener type including nonlocal space connections and a relative refractory period. We have found that a transition from circular to linear vortex core may be obtained by changing the parameters of the model. In particular, by increasing the excitability at constant refractory period the vortex core shape changes from circular at low excitability to the Wiener type linear core at high excitability. At intermediate values of excitability, cycloidal and "Z" type rotations occur.

AB - We have studied the shape of a vortex core in a modified cellular automata model of the Wiener type including nonlocal space connections and a relative refractory period. We have found that a transition from circular to linear vortex core may be obtained by changing the parameters of the model. In particular, by increasing the excitability at constant refractory period the vortex core shape changes from circular at low excitability to the Wiener type linear core at high excitability. At intermediate values of excitability, cycloidal and "Z" type rotations occur.

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Transition from circular to linear rotation of a vortex in an excitable cellular medium

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