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

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Kryukov A. K., Osipov G. V., Polovinkin A. V. Variety of synchronous regimes in ensembles of nonidentical oscillators: Chain and lattice. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 2, pp. 29-36. DOI: 10.18500/0869-6632-2009-17-2-29-36

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Variety of synchronous regimes in ensembles of nonidentical oscillators: Chain and lattice

Kryukov Aleksej Konstantinovich, Lobachevsky State University of Nizhny Novgorod
Osipov Grigorij Vladimirovich, Lobachevsky State University of Nizhny Novgorod
Polovinkin Andrej Vladimirovich, Lobachevsky State University of Nizhny Novgorod

We study synchronization in one- and two-dimentional ensembles of nonidentical Bonhoeffer–van der Pol oscillators. Small chains (number of elements N <= 4) are proved to have not less than 2 N−1 coexisting stable different synchronous regimes. The chain of N elements is supposed to have not less than 2 N−1 synchronous regimes at the same values of parameters. Formation of synchronization clusters at weak coupling is shown. Regimes, provided by existing of waves, setting rhythm for all elements in ensemble, are investigated.

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