Effects of intermittent coupling on synchronization. (October 2020)

• Record Type: Journal Article
• Authors: Njougouo, Thierry; Simo, Gaël R.; Louodop, Patrick; Fotsin, Hilaire; Talla, Pierre K.
• Is Part Of: Chaos, solitons and fractals. Volume 139(2020)
• Publication Date: 2020-10
• Subjects: Synchronization -- Intermittent coupling -- Rössler systems -- Network of liénard oscillator -- Multichimera -- Network; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2020.110082
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: Impact of the parameter dp on the synchronization of coupled systems. Coexistence of synchronization and desynchronization due to the parameter named dp. The synchronization scheme is experimentally validated by electronic circuit In the case of a network the parameter dp helps to coherently change the dynamics of the network which moves from multi chimera to cluster passing through chimera state and also changes the dynamic of the systems. Abstract: We investigate the dynamics of two coupled Rössler systems and a network of Liénard oscillators according to the probability of the considered oscillators to be coupled or not. This probability is introduced through a parameter named dp which is not necessarily a physical distance and is defined as the maximal distance between two individuals above which the coupling doesn't exist. From the viewpoint of the coupling, we are getting into the coexistence of the coupled and uncoupled systems since the establishment or not of the connection between oscillators is related to the values of the considered state variables since the initial conditions. Some interesting behaviors such as synchronization, multichimera and clusters are obtained according to the values of the parameter dp . Numerical and Pspice results are given to validate some of our analysis.