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

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Slepnev A. V., Shepelev I. A., Vadivasova T. E. External synchronization of traveling waves in an active medium in self-sustained and excitable regime. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 2, pp. 50-61. DOI: 10.18500/0869-6632-2014-22-2-50-61

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Language: 
Russian
Heading: 
Autowaves. Self-organization
Article type: 
Article
UDC: 
537.86.530.182
DOI: 
10.18500/0869-6632-2014-22-2-50-61

External synchronization of traveling waves in an active medium in self-sustained and excitable regime

Autors: 
Slepnev Andrej Vjacheslavovich, Saratov State University
Shepelev Igor Aleksandrovich, Saratov State University
Vadivasova Tatjana Evgenevna, Saratov State University
Abstract: 

The model of a one-dimensional active medium, which cell represents FitzHugh–Nagumo oscillator, is studied with periodical boundary conditions. Such medium can be either self-oscillatory or excitable one in dependence of the parameters values. Periodical boundary conditions provide the existence of traveling wave regimes both in excitable anself-oscillatory case without any deterministic or stochastic impacts. The local periodic force influence on the medium is under study. In addition to the uniform medium study the single FitzHugh–Nagumo oscillator with complementary time-delayed feedback is considered. The comparison of synchronization effects in excitable and self-oscillatory regimes of the active medium and its analogue is carried out.

Key words: 
Self-oscillatory medium
multistability
spatial structures
synchronization
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Received: 
06.12.2013
Accepted: 
14.02.2014
Published: 
31.07.2014
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