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

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Petrov V. 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: 10.18500/0869-6632-2010-18-3-46-59

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Influence of passive elements on the synchronization of oscillatory ensembles

Petrov Valentin Sergeevich, Lobachevsky State University of Nizhny Novgorod
Osipov Grigorij Vladimirovich, Lobachevsky State University of Nizhny Novgorod

This paper deals with the influence of the passive elements on the synchronization in the ensembles of coupled non-identical 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 non-identical oscillators. 

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