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


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Krjukov 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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Russian
DOI: 
10.18500/0869-6632-2009-17-2-29-36

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

Autors: 
Krjukov Aleksej Konstantinovich, Federal state budgetary educational institution of higher professional education Nizhny Novgorod state University named N. And.Lobachevsky
Osipov Grigorij Vladimirovich, Federal state budgetary educational institution of higher professional education Nizhny Novgorod state University named N. And.Lobachevsky
Polovinkin Andrej Vladimirovich, Federal state budgetary educational institution of higher professional education Nizhny Novgorod state University named N. And.Lobachevsky
Abstract: 

We study synchronization in one- and two-dimentional ensembles of nonidentical Bonhoe?er–van der Pol oscillators. Small chains (number of elements N 6 4) are proved to have not less than 2N?1 coexisting stable di?erent synchronous regimes. The chain of N elements is supposed to have not less than 2N?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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