SYNCHRONIZATION WAVES IN WEAK-NONLINEAR OSCILLATORY ENSEMBLES
Cite this article as:
Kryukov А. К., Kanakov О. 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
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 different 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 reflections from free boundaries. Effect of alternated inphase – antiphase synchronization is observed, which was found before in numerical simulations.
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BibTeX
author = {А. К. Kryukov and О. I. Kanakov and G. V. Osipov },
title = {SYNCHRONIZATION WAVES IN WEAK-NONLINEAR OSCILLATORY ENSEMBLES},
year = {2009},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {17},number = {1},
url = {https://old-andjournal.sgu.ru/en/articles/synchronization-waves-in-weak-nonlinear-oscillatory-ensembles},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2009-17-1-13-36},pages = {13--36},issn = {0869-6632},
keywords = {synchronization,multistability,numerical methods,modeling,complex Ginzburg–Landau equation,synchronization waves},
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 different 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 reflections from free boundaries. Effect of alternated inphase – antiphase synchronization is observed, which was found before in numerical simulations. }}