INFLUENCE OF PASSIVE ELEMENTS ON THE SYNCHRONIZATION OF OSCILLATORY ENSEMBLES

Cite this article as:

Petrov . S., Osipov G. V. INFLUENCE OF PASSIVE ELEMENTS ON THE SYNCHRONIZATION OF OSCILLATORY ENSEMBLES. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 3, pp. 46-59. DOI: https://doi.org/10.18500/0869-6632-2010-18-3-46-59

This paper deals with the influence of the passive elements on the synchronization in the ensembles of coupled non­identical Bonhoeffer–van der Pol oscillators. With a help of numerical experiment it was demonstrated that the introduction of passive elements may lead to both increase and decrease of global synchronization threshold in the system. These results were confirmed analytically using piecewise linear approximation of the Bonhoeffer–van der Pol model. The results obtained for the ensemble of three coupled elements are generalized to the case of two dimensional lattices of non­identical oscillators.

Authors: 
Petrov V. S., Lobachevsky State University of Nizhni Novgorod, Prosp. Gagarina, 23, Nizhni Novgorod, 603950, Russia , valentin.s.petrov@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, oscillatory ensemble, passive element.
DOI: 
10.18500/0869-6632-2010-18-3-46-59
Literature

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Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Status: 
одобрено к публикации
Short Text (PDF): 
a2010no3p046.pdf
Full Text (PDF): 
2010no3p046.pdf

BibTeX

@article{Петров -IzvVUZ_AND-18-3-46,
author = { V. S. Petrov and G. V. Osipov },
title = {INFLUENCE OF PASSIVE ELEMENTS ON THE SYNCHRONIZATION OF OSCILLATORY ENSEMBLES},
year = {2010},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {18},number = {3},
url = {https://old-andjournal.sgu.ru/en/articles/influence-of-passive-elements-on-the-synchronization-of-oscillatory-ensembles},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2010-18-3-46-59},pages = {46--59},issn = {0869-6632},
keywords = {synchronization,oscillatory ensemble,passive element.},
abstract = {This paper deals with the influence of the passive elements on the synchronization in the ensembles of coupled non­identical Bonhoeffer–van der Pol oscillators. With a help of numerical experiment it was demonstrated that the introduction of passive elements may lead to both increase and decrease of global synchronization threshold in the system. These results were confirmed analytically using piecewise linear approximation of the Bonhoeffer–van der Pol model. The results obtained for the ensemble of three coupled elements are generalized to the case of two dimensional lattices of non­identical oscillators. }}