Effects of intermittent coupling on synchronization

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.