Analysis of the establishment of the global synchronization in complex networks with different topologies of links

Alexander E. Hramov; Alexander A. Kharchenko; Marina V. Khramova; Alexey A. Koronovskii; Maria K. Kurovskaya; Vladimir V. Makarov; Olga I. Moskalenko; Alexey N. Pavlov; Syamal K. Dana

doi:10.1117/12.2207394

17 March 2016 Analysis of the establishment of the global synchronization in complex networks with different topologies of links

Alexander E. Hramov, Alexander A. Kharchenko, Marina V. Khramova, Alexey A. Koronovskii, Maria K. Kurovskaya, Vladimir V. Makarov, Olga I. Moskalenko, Alexey N. Pavlov, Syamal K. Dana

Author Affiliations +

Proceedings Volume 9707, Dynamics and Fluctuations in Biomedical Photonics XIII; 970712 (2016) https://doi.org/10.1117/12.2207394
Event: SPIE BiOS, 2016, San Francisco, California, United States

Abstract

In the present paper the mechanism of the global synchronization onset through the formation of the synchronous clusters in complex networks with different topologies of links (scale-free networks, small-world networks, random networks) is studied. We consider the dependencies of integral characteristics of synchronous dynamics (synchronization measure, number of synchronous clusters, etc) on coupling strength between nodes. As a basic element of the node oscillator we consider Kuramoto phase oscillator.

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Alexander E. Hramov, Alexander A. Kharchenko, Marina V. Khramova, Alexey A. Koronovskii, Maria K. Kurovskaya, Vladimir V. Makarov, Olga I. Moskalenko, Alexey N. Pavlov, and Syamal K. Dana "Analysis of the establishment of the global synchronization in complex networks with different topologies of links", Proc. SPIE 9707, Dynamics and Fluctuations in Biomedical Photonics XIII, 970712 (17 March 2016); https://doi.org/10.1117/12.2207394

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