Effects of intermittent coupling on synchronization. (English) Zbl 1490.34055
Summary: 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 \(d_p\) 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 \(d_p\). Numerical and Pspice results are given to validate some of our analysis.
MSC:
| 34D06 | Synchronization of solutions to ordinary differential equations |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 34C15 | Nonlinear oscillations and coupled oscillators for ordinary differential equations |
| 93D15 | Stabilization of systems by feedback |
| 34H05 | Control problems involving ordinary differential equations |
Keywords:
synchronization; intermittent coupling; Rössler systems; network of Liénard oscillator; multichimera; networkReferences:
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