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

For citation:

Kasatkin D. V., Nekorkin V. I. Dynamics of a network of interacting phase oscillators with dynamic couplings. Izvestiya VUZ. Applied Nonlinear Dynamics, 2015, vol. 23, iss. 4, pp. 58-70. DOI: 10.18500/0869-6632-2015-23-4-58-70

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Language: 
Russian
Heading: 
Nonlinear Dynamics and Neuroscience
Article type: 
Article
UDC: 
621.373.1
DOI: 
10.18500/0869-6632-2015-23-4-58-70

Dynamics of a network of interacting phase oscillators with dynamic couplings

Autors: 
Kasatkin Dmitry Vladimirovich, Institute of Applied Physics of the Russian Academy of Sciences
Nekorkin Vladimir Isaakovich, Institute of Applied Physics of the Russian Academy of Sciences
Abstract: 

We investigate dynamical states formed in a network of coupled phase oscillators in which strength of interactions between oscillators evolve dynamically depending on their relative phases. The feature of the system is co-evolution of coupling weights and states of elements. It is ascertained that depending on the parameters the network exhibit several types of behavior: globally synchronized state, two-cluster and multi-cluster states, various synchronized states with a fixed phase relationship between oscillators and desynchronized state.

Key words: 
phase oscillators
dynamic couplings
synchronization
multi-cluster states
phase clusters
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Received: 
10.09.2015
Accepted: 
10.09.2015
Published: 
31.03.2016
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