Erosion of synchronization in networks of coupled oscillators
arXiv:1410.7559 · doi:10.1103/PhysRevE.91.010802
Abstract
We report erosion of synchronization in networks of coupled phase oscillators, a phenomenon where perfect phase synchronization is unattainable in steady-state, even in the limit of infinite coupling. An analysis reveals that the total erosion is separable into the product of terms characterizing coupling frustration and structural heterogeneity, both of which amplify erosion. The latter, however, can differ significantly from degree heterogeneity. Finally, we show that erosion is marked by the reorganization of oscillators according to their node degrees rather than their natural frequencies.
arXiv comment5 pages, 4 figures
References in corpus (20)
- Emergence of scaling in random networks
- Synchronization in complex networks
- Chimera States for Coupled Oscillators
- Synchronization reveals topological scales in complex networks
- Spontaneous synchrony in power-grid networks
- Explosive Synchronization Transitions in Scale-free Networks
- Solvable model for chimera states of coupled oscillators
- Network Synchronization, Diffusion, and the Paradox of Heterogeneity
- Paths to Synchronization on Complex Networks
- Rotating Spiral Waves with Phase-Randomized Core in Non-locally Coupled Oscillators
- Zero-lag long-range synchronization via dynamical relaying
- The onset of synchronization in large networks of coupled oscillators
- Synchronization of Kuramoto Oscillators in Scale-Free Networks
- Master Stability Functions for Coupled Near-Identical Dynamical Systems
- Optimal synchronization of complex networks
- From Scale-free to Erdos-Renyi Networks
- Cluster Synchrony in Systems of Coupled Phase Oscillators with Higher-Order Coupling
- Hierarchical Synchrony of Phase Oscillators in Modular Networks
- Kuramoto dynamics in Hamiltonian systems
- Synchronization Dynamics in the Presence of Coupling Delays and Phase Shifts
Cited by in corpus (12)
- The Kuramoto model in complex networks
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- Development of structural correlations and synchronization from adaptive rewiring in networks of Kuramoto oscillators
- A universal order parameter for synchrony in networks of limit cycle oscillators
- Synchronization of heterogeneous oscillators under network modifications: Perturbation and optimization of the synchrony alignment function
- Optimal synchronization of directed complex networks
- Optimal phase synchronization in networks of phase-coherent chaotic oscillators
- Amplification of explosive width in complex networks
- Erosion of synchronization: Coupling heterogeneity and network structure
- Collective frequency variation in network synchronization and reverse PageRank
- Synchronization of Network-Coupled Oscillators with Uncertain Dynamics
- Chimera-like States in Structured Heterogeneous Networks