ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Bastrakov I. I., Gavrilova K. A., Grigorieva S. A., Osipov G. V. The suppression of the excitation of the active medium with a weak external action. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 2, pp. 62-76. DOI: 10.18500/0869-6632-2014-22-2-62-76

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Language: 
Russian
Heading: 
Autowaves. Self-organization
Article type: 
Article
UDC: 
517.977
DOI: 
10.18500/0869-6632-2014-22-2-62-76

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

Autors: 
Bastrakov Ilja Ivanovich, Lobachevsky State University of Nizhny Novgorod
Gavrilova Ksenija Andreevna, Lobachevsky State University of Nizhny Novgorod
Grigorieva Svetlana Anatolevna, Lobachevsky State University of Nizhny Novgorod
Osipov Grigorij Vladimirovich, 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-impulseinfluence, 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.

Key words: 
nonlinear dynamics
Active medium
spiral waves
Zykov model
excitation waves
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Received: 
30.01.2014
Accepted: 
07.04.2014
Published: 
31.07.2014
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