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JOURNALS // Izvestiya VUZ. Applied Nonlinear Dynamics // Archive

Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, Volume 22, Issue 2, Pages 62–76 (Mi ivp230)

AUTOWAWES. SELF-ORGANIZATION

The suppression of the excitation of the active medium with a weak external action

I. I. Bastrakov, K. A. Gavrilova, S. A. Grigorieva, G. V. Osipov

National Research Lobachevsky State University of Nizhny Novgorod

Abstract: This paper presents two new methods of suppressing an impulse in one-dimensional and two-dimensional excitable media using an external influence. In the proposed methods, we used short-impulse influence, leading to a change in velocity of the front , which in turn led to the destabilization of the propagating impulse and transition medium unexcited state. The studies were conducted on the Zykov model that a certain set of parameters is a model of an excitable medium. The conditions were determined for the amplitude and duration of the external influences required for suppressing excitation.

Keywords: Nonlinear dynamics, active medium, spiral waves, Zykov model, excitation waves.

UDC: 517.977

Received: 07.04.2014



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