Synchronization of Kuramoto Oscillators in Scale-Free Networks
arXiv:cond-mat/0401266 · doi:10.1209/epl/i2004-10238-x
Abstract
In this work, we study the synchronization of coupled phase oscillators on the underlying topology of scale-free networks. In particular, we assume that each network's component is an oscillator and that each interacts with the others following the Kuramoto model. We then study the onset of global phase synchronization and fully characterize the system's dynamics. We also found that the resynchronization time of a perturbed node decays as a power law of its connectivity, providing a simple analytical explanation to this interesting behavior.
arXiv comment7 pages and 4 eps figures, the text has been slightly modified and new references have been included. Final version to appear in Europhysics Letters
References in corpus (15)
- Emergence of scaling in random networks
- The structure and function of complex networks
- Epidemic spreading in scale-free networks
- Lethality and centrality in protein networks
- Network robustness and fragility: Percolation on random graphs
- Mean-field theory for scale-free random networks
- Synchronization in small-world systems
- Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
- Epidemic outbreaks in complex heterogeneous networks
- Large-scale topological and dynamical properties of Internet
- Time Delay in the Kuramoto Model of Coupled Oscillators
- Resilience to damage of graphs with degree correlations
- Epidemic Incidence in Correlated Complex Networks
- Coexistence of regular and irregular dynamics in complex networks of pulse-coupled oscillators
- Fitness for Synchronization of Network Motifs
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- Multiplexing induced explosive synchronization in Kuramoto oscillators with inertia
- Synchronization centrality and explosive synchronization in complex networks
- Path-integral approach to the dynamics in sparse random network
- Motion-induced synchronization in metapopulations of mobile agents
- Stability of phase difference trajectories of networks of Kuramoto oscillators with time-varying couplings and intrinsic frequencies
- Global phase synchronization in an array of time-delay systems
- On the onset of synchronization of Kuramoto oscillators in scale-free networks
- Using synchronism of chaos for adaptive learning of network topology
- Synchronization of networks with variable local properties
- Enhancing network synchronization by phase modulation
- Phase synchronization on scale-free and random networks in the presence of noise
- Sync in Complex Dynamical Networks: Stability, Evolution, Control, and Application
- Cascade Failure in a Phase Model of Power Grids
- Erosion of synchronization: Coupling heterogeneity and network structure
- Onset of Synchronization in Weighted Complex Networks: the Effect of Weight-Degree Correlation
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- Global and Partial Phase Synchronizations in Arrays of Piecewise Linear Time-Delay Systems
- Synchronization in an evolving network
- How to grow an oscillator network with enhanced synchronization
- Synchronizability and synchronization dynamics of weighed and unweighed scale free networks with degree mixing
- A Coupled Oscillator Model for the Origin of Bimodality and Multimodality
- Phase Model with Feedback Control for Power Grids
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- Adversarial control of synchronization in complex oscillator networks
- Factorization threshold models for scale-free networks generation
- Phase Synchronization on Spacially Embeded Duplex Networks with Total Cost Constraint
- Unveiling the Relationship Between Structure and Dynamics in Complex Networks
- Collective behavior in coupled dynamical systems on two-dimensional weighted networks: A step toward understanding adaptive behavior of true slime mold
- Robustness and size-dependence of circadian rhythms in multiscale suprachiasmatic-nucleus networks
- Mean-field theory of vector spin models on networks with arbitrary degree distributions