Enhancing the stability of the synchronization of multivariable coupled oscillators
arXiv:1508.06887 · doi:10.1103/PhysRevE.92.032804
Abstract
Synchronization processes in populations of identical networked oscillators are in the focus of intense studies in physical, biological, technological and social systems. Here we analyze the stability of the synchronization of a network of oscillators coupled through different variables. Under the assumption of an equal topology of connections for all variables, the master stability function formalism allows assessing and quantifying the stability properties of the synchronization manifold when the coupling is transferred from one variable to another. We report on the existence of an optimal coupling transference that maximizes the stability of the synchronous state in a network of Rössler-like oscillators. Finally, we design an experimental implementation (using nonlinear electronic circuits) which grounds the robustness of the theoretical predictions against parameter mismatches, as well as against intrinsic noise of the system.
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- Fractional dynamics on circulant multiplex networks: optimal coupling and long-range navigation for continuous-time random walks
- Approximation methods for the stability of complete synchronization on duplex networks
- Prime stars multiplexes