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Proceedings Paper

Mechanisms for the target patterns formation in a stochastic bistable excitable medium
Author(s): Andrey Yu. Verisokin; Darya V. Verveyko; Dmitry E. Postnov
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Paper Abstract

We study the features of formation and evolution of spatiotemporal chaotic regime generated by autonomous pacemakers in excitable deterministic and stochastic bistable active media using the example of the FitzHugh – Nagumo biological neuron model under discrete medium conditions. The following possible mechanisms for the formation of autonomous pacemakers have been studied: 1) a temporal external force applied to a small region of the medium, 2) geometry of the solution region (the medium contains regions with Dirichlet or Neumann boundaries). In our work we explore the conditions for the emergence of pacemakers inducing target patterns in a stochastic bistable excitable system and propose the algorithm for their analysis.

Paper Details

Date Published: 26 April 2018
PDF: 8 pages
Proc. SPIE 10717, Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV, 107172A (26 April 2018); doi: 10.1117/12.2315143
Show Author Affiliations
Andrey Yu. Verisokin, Kursk State Univ. (Russian Federation)
Darya V. Verveyko, Kursk State Univ. (Russian Federation)
Dmitry E. Postnov, Saratov State National Research Univ. (Russian Federation)


Published in SPIE Proceedings Vol. 10717:
Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV
Vladimir L. Derbov; Dmitry Engelevich Postnov, Editor(s)

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