Consistency of heterogeneous synchronization patterns in complex weighted networks
arXiv:1601.05461 · doi:10.1063/1.4977972
Abstract
We show that subsets of interacting oscillators may synchronize in different ways within a single network. This diversity of synchronization patterns is promoted by increasing the heterogeneous distribution of coupling weights and/or asymmetries in small networks. We also analyze consistency, defined as the persistence of coexistent synchronization patterns regardless of the initial conditions. Our results show that complex weighted networks display richer consistency than regular networks, suggesting why certain functional network topologies are often constructed when experimental data are analyzed.
9 pages, 6 figures
References in corpus (7)
- Scale-free brain functional networks
- Symmetries, Cluster Synchronization, and Isolated Desynchronization in Complex Networks
- Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling
- Remote synchronization reveals network symmetries and functional modules
- Explosive first-order transition to synchrony in networked chaotic oscillators
- Generalized synchronization in mutually coupled oscillators and complex networks
- Assessing the direction of climate interactions by means of complex networks and information theoretic tools