Synchronization of networks of oscillators with distributed delay coupling
arXiv:1406.5428 · doi:10.1063/1.4898771
Abstract
This paper studies the stability of synchronized states in networks where couplings between nodes are characterized by some distributed time delay, and develops a generalized master stability function approach. Using a generic example of Stuart-Landau oscillators, it is shown how the stability of synchronized solutions in networks with distributed delay coupling can be determined through a semi-analytic computation of Floquet exponents. The analysis of stability of fully synchronized and of cluster or splay states is illustrated for several practically important choices of delay distributions and network topologies.
18 pages, 4 figures
References in corpus (9)
- Distributed Delays Facilitate Amplitude Death of Coupled Oscillators
- Delayed Feedback Control near Hopf Bifurcation
- Synchronizing distant nodes: a universal classification of networks
- Stability of the splay state in pulse--coupled networks
- Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics
- Stabilization of unstable steady states by variable delay feedback control
- Variable-delay feedback control of unstable steady states in retarded time-delayed systems
- Synchronization-Desynchronization Transitions in Complex Networks: An Interplay of Distributed Time Delay and Inhibitory Nodes
- Network Coordination and Synchronization in a Noisy Environment with Time Delays