Explosive synchronization with partial degree-frequency correlation
arXiv:1408.2483 · doi:10.1103/PhysRevE.91.022818
Abstract
Networks of Kuramoto oscillators with a positive correlation between the oscillators frequencies and the degree of the their corresponding vertices exhibits the so-called explosive synchronization behavior, which is now under intensive investigation. Here, we study and report explosive synchronization in a situation that has not yet been considered, namely when only a part, typically small, of the vertices is subjected to a degree frequency correlation. Our results show that in order to have explosive synchronization, it suffices to have degree-frequency correlations only for the hubs, the vertices with the highest degrees. Moreover, we show that a partial degree-frequency correlation does not only promotes but also allows explosive synchronization to happen in networks for which a full degree-frequency correlation would not allow it. We perform exhaustive numerical experiments for synthetic networks and also for the undirected and unweighted version of the neural network of the worm Caenorhabditis elegans. The latter is an explicit example where partial degree-frequency correlation leads to explosive synchronization with hysteresis, in contrast with the fully correlated case, for which no explosive synchronization is observed.
10 pages, 6 figures, final version to appear in PRE
References in corpus (15)
- Synchronization in complex networks
- Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
- Spontaneous synchrony in power-grid networks
- Explosive Synchronization Transitions in Scale-free Networks
- The sound of many hands clapping
- Paths to Synchronization on Complex Networks
- Thermodynamic limit of the first-order phase transition in the Kuramoto model
- Frequency synchronization in random oscillator network
- Explosive first-order transition to synchrony in networked chaotic oscillators
- Cluster Explosive Synchronization in Complex Networks
- From Scale-free to Erdos-Renyi Networks
- Explosive synchronization in weighted complex networks
- Explosive transitions to synchronization in networked phase oscillators
- Disorder induces explosive synchronization
- Explosive synchronization transitions in complex neural network
Cited by in corpus (16)
- The Kuramoto model in complex networks
- Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
- Explosive Phenomena in Complex Networks
- Explosive synchronization in phase-frustrated multiplex networks
- Transition to synchrony in degree-frequency correlated Sakaguchi-Kuramoto model
- Optimal synchronization of Kuramoto oscillators: a dimensional reduction approach
- Synchrony-optimized networks of Kuramoto oscillators with inertia
- Partial inertia induces additional phase transition in the explosive majority vote model
- Synchronization transition in Sakaguchi-Kuramoto model on complex networks with partial degree-frequency correlation
- Symmetries and synchronization in multilayer random networks
- Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies
- Explosive synchronization transition in a ring of coupled oscillators
- Quorum sensing and remote synchronization in networks of Kuramoto oscillators: a biological interpretation
- Explosive synchronization in networks of Type-I neurons with electrical synapses
- Synchronization of phase oscillators with frequency-weighted coupling
- Low dimensional behaviour of generalized Kuramoto model