When switching makes impossible synchronization possible
Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), 159163-4311, Tehran, Iran
2 Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924, Lodz, Poland
Accepted: 27 September 2022
Published online: 14 October 2022
Synchronization of dynamical networks is of great significance in diverse scientific fields. In this paper, the focus is on the networks in which the synchronization stability region is bounded. We represent that blinking of determined links can lead to reaching a synchronous state for specific asynchronous networks. The requisite for the primary network is that it must have only one normalized coupling parameter (the first or the last) out of the stability region found by the master stability function. Then, the proper links that their substitution causes the other coupling parameter (the last or the first) to fall out of the stability region should be recognized. Finally, switching the identified links periodically can synchronize the network. This phenomenon is represented on two networks of Rӧssler and Lorenz oscillators.
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