Driven synchronization in random networks of oscillators
arXiv:1503.00176 · doi:10.1063/1.4927292
Abstract
Synchronization is a universal phenomenon found in many non-equilibrium systems. Much recent interest in this area has overlapped with the study of complex networks, where a major focus is determining how a system's connectivity patterns affect the types of behavior that it can produce. Thus far, modeling efforts have focused on the tendency of networks of oscillators to mutually synchronize themselves, with less emphasis on the effects of external driving. In this work we discuss the interplay between mutual and driven synchronization in networks of phase oscillators of the Kuramoto type, and explore how the structure and emergence of such states depends on the underlying network topology for simple random networks with a given degree distribution. We find a variety of interesting dynamical behaviors, including bifurcations and bistability patterns that are qualitatively different for heterogeneous and homogeneous networks, and which are separated by a Takens-Bogdanov-Cusp singularity in the parameter region where the coupling strength between oscillators is weak. Our analysis is connected to the underlying dynamics of oscillator clusters for important states and transitions.
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Cited by in corpus (9)
- Global synchronization of partially forced Kuramoto oscillators on Networks
- Hybrid dynamics in delay-coupled swarms with "mothership" networks
- Network desynchronization by non-Gaussian fluctuations
- Optimal global synchronization of partially forced Kuramoto oscillators
- Rare slips in fluctuating synchronized oscillator networks
- Unstable oscillations and bistability in delay-coupled swarms
- Bifurcations in the Kuramoto model with external forcing and higher-order interactions
- Large and small fluctuations in oscillator networks from heterogeneous and correlated noise
- Resilience of the slow component in timescale separated synchronized oscillators