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


Cite this article as:

Krjukov A. K., Kanakov O. I., Osipov G. V. Synchronization waves in weak-nonlinear oscillatory ensembles. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 1, pp. 13-36. DOI: https://doi.org/10.18500/0869-6632-2009-17-1-13-36

Language: 
Russian

Synchronization waves in weak-nonlinear oscillatory ensembles

Autors: 
Krjukov Aleksej Konstantinovich, Federal state budgetary educational institution of higher professional education "Nizhny Novgorod state University named N. And.Lobachevsky"
Kanakov Oleg Igorevich, 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"
Abstract: 

Synchronization is studied in ensembles of locally dissipative coupled and conservative coupled weak-nonlinear van der Pol oscillators. In the chain of N elements not less than 2N?1 di?erent regimes of global synchronization are stable at the same values of parameters. Cluster synchronization is considered as well. Existing of multiple fronts of synchronization switching is shown. These fronts go one through another without of changing or re?ections from free boundaries. E?ect of alternated inphase – antiphase synchronization is observed, which was found before in numerical simulations.

Key words: 
DOI: 
10.18500/0869-6632-2009-17-1-13-36
References: 

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