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


Cite this article as:

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: https://doi.org/10.18500/0869-6632-2009-17-2-29-36

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Russian

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

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