VARIETY OF SYNCHRONOUS REGIMES IN ENSEMBLES OF NONIDENTICAL OSCILLATORS: Two coupled elements

Cite this article as:

Kryukov А. К., Osipov G. V. VARIETY OF SYNCHRONOUS REGIMES IN ENSEMBLES OF NONIDENTICAL OSCILLATORS: Two coupled elements. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 2, pp. 16-28. DOI: https://doi.org/10.18500/0869-6632-2009-17-2-16-28

We study synchronization of two coupled nonidentical Bonhoeffer–van der Pol oscillators. Coexistence of two different synchronous regimes is proved. Mechanisms of synchronous regimes origination and destruction are investigated. Fluctuations influence on syncronous regimes is considered. It is found that noise can cause: i) synchronization destruction and beating originations; ii) fluctuations-caused bistability destruction; iii) fluc-tuations-caused intermittency of synchronous regimes without synchronization destruction.

Authors: 
Kryukov А. К., Lobachevsky State University of Nizhni Novgorod, Prosp. Gagarina, 23, Nizhni Novgorod, 603950, Russia , alkryukov@gmail.com
Osipov G. V. , Lobachevsky State University of Nizhni Novgorod, Prosp. Gagarina, 23, Nizhni Novgorod, 603950, Russia , osipov@vmk.unn.ru
Key words: 
synchronization, multistability, synchronous regime, numerical methods, modeling, stochastic system, FitzHugh–Nagumo, Bonhoeffer–van der Pol.
DOI: 
10.18500/0869-6632-2009-17-2-16-28
Literature

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Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Status: 
одобрено к публикации
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BibTeX

@article{Крюков-IzvVUZ_AND-17-2-16,
author = {А. К. Kryukov and G. V. Osipov },
title = {VARIETY OF SYNCHRONOUS REGIMES IN ENSEMBLES OF NONIDENTICAL OSCILLATORS: Two coupled elements},
year = {2009},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {17},number = {2},
url = {https://old-andjournal.sgu.ru/en/articles/variety-of-synchronous-regimes-in-ensembles-of-nonidentical-oscillators-two-coupled},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2009-17-2-16-28},pages = {16--28},issn = {0869-6632},
keywords = {synchronization,multistability,synchronous regime,numerical methods,modeling,stochastic system,FitzHugh–Nagumo,Bonhoeffer–van der Pol.},
abstract = {We study synchronization of two coupled nonidentical Bonhoeffer–van der Pol oscillators. Coexistence of two different synchronous regimes is proved. Mechanisms of synchronous regimes origination and destruction are investigated. Fluctuations influence on syncronous regimes is considered. It is found that noise can cause: i) synchronization destruction and beating originations; ii) fluctuations-caused bistability destruction; iii) fluc-tuations-caused intermittency of synchronous regimes without synchronization destruction. }}