Summary
International Symposium on Nonlinear Theory and its Applications
2017
Session Number:C2L-B
Session:
Number:C2L-B-3
Self-Similarity in Explosive Transition to/from Synchronization in Random Networks
Aleksei Koronovskii, Maria Kurovskaya, Olga Moskalenko, Alexander Hramov,
pp.650-652
Publication Date:2017/12/4
Online ISSN:2188-5079
Summary:
In the present report we consider the remarkable phenomenon of the explosive synchronization in complex networks of oscillators. We have shown that this phenomenon is a consequence of the self-similarity in the stability loss of the synchronous clusters of different size. The manifestation of the self-similarity can be revealed through the processes of the network synchronous state destruction. As a sample system the random network of Kuramoto oscillators has been considered. We have shown that the destruction of the synchronous state of the random network goes step by step through the self-similar configurations of interacting oscillators.