2016/10/06 by Владимир Власов, Vlasov, Vladimir, Angelo Bifone +2
Computer Science · #Nonlinear Dynamics and Pattern Formation
paper · pdf · doi:10.48550/arxiv.1610.01905
The concept of "remote synchronization" (RS) was introduced in [Phys. Rev. E\n85, 026208 (2012)], where synchronization in a star network of Stuart-Landau\noscillators was investigated. In the RS regime therein described, the central\nhub served as a transmitter of information between peripheral nodes, while\nmaintaining independent dynamics that were asynchronous with the rest of the\nnetwork. One of the key conclusions of that paper was that RS cannot occur in\npure phase-oscillator networks. Here, we show that the RS regime can exist in\nnetworks of Kuramoto oscillators, and that hub nodes can actively drive remote\nsynchronization even in the presence of a repulsive mean field. We apply this\nmodel to study the synchronization dynamics in complex networks endowed with\nhub-nodes, an ubiquitous feature of many natural networks. We show that a\nchange in the natural frequency of a hub can alone reshape synchronization\npatterns, and switch from direct to remote synchronization, or to hub-driven\ndesynchronization. We discuss the potential role of this phenomenon in\nreal-world networks, including the Karate-club and brain connectivity networks.\n