An investigation of synchronization robustness considering randomness and asymmetries

Synchronization phenomena are related to several natural systems defining patterns of interactions. This paper deals with a synchronization robustness investigation evaluating pattern formation on a network of pendulum-chart oscillators receiving energy from a base excitation. Random aspects are investigated establishing the sensitivity to parameter changes and initial conditions. System asymmetries are analysed allowing the investigation of different kinds of dynamical patterns. Results show that asynchronous regions can change due to random effects. The asynchronous region reduces with the dissipation increase and the chimera state can occur under parametric asymmetry. Energetic argues are employed to explain the pattern robustness with respect to randomness and asymmetries.

Automated summary

This paper investigates the synchronization robustness of a network of pendulum-chart oscillators under random aspects, parameter changes, and initial conditions. Results show that the asynchronous region decreases with increased dissipation, and a chimera state may occur under parametric asymmetry. Energetic arguments are used to explain the pattern robustness in relation to randomness and asymmetries.