Discontinuous coupling and transition from synchronization to an intermittent transient chimera state

Document Type : Article


1 Shaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi'an 710123, P.R. China

2 Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar

3 - Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam. - Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland

4 Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland


The coexistence of coherent and incoherent clusters, which is named chimera state, has been observed in various coupling configurations. The majority of the studies have considered a static scheme for the network. In this paper, the synchronization patterns of a time-varying network with discontinuous coupling (on/off links) are studied. At first, the prerequisites for the synchronization of continuous and discontinuous coupling are found by the master stability function method. It is observed that when the network with continuous coupling is set in the synchronous region, changing the coupling to a discontinuous one leads to the emergence of a pattern consisting of alternating synchronization, asynchronization, and chimera state. We call this pattern intermittent transient chimera. The study is completed by investigating the effect of the rate of discontinuity on the network behavior.


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