Explosive Synchronization Transitions in Scale-free Networks
arXiv:1102.4823 · doi:10.1103/PhysRevLett.106.128701
Abstract
The emergence of explosive collective phenomena has recently attracted much attention due to the discovery of an explosive percolation transition in complex networks. In this Letter, we demonstrate how an explosive transition shows up in the synchronization of complex heterogeneous networks by incorporating a microscopic correlation between the structural and the dynamical properties of the system. The characteristics of this explosive transition are analytically studied in a star graph reproducing the results obtained in synthetic scale-free networks. Our findings represent the first abrupt synchronization transition in complex networks thus providing a deeper understanding of the microscopic roots of explosive critical phenomena.
6 pages and 5 figures. To appear in Physical Review Letters
References in corpus (11)
- Synchronization in complex networks
- Synchronization in small-world systems
- Synchronization reveals topological scales in complex networks
- Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
- Paths to Synchronization on Complex Networks
- Universality in the synchronization of weighted random networks
- Synchronization of Kuramoto Oscillators in Scale-Free Networks
- Explosive percolation in scale-free networks
- Percolation Transitions in Scale-Free Networks under Achlioptas Process
- From Scale-free to Erdos-Renyi Networks
- Synchronization transition in scale-free networks: Clusters of synchrony
Cited by in corpus (183)
- Networks beyond pairwise interactions: structure and dynamics
- The Kuramoto model in complex networks
- The physics of higher-order interactions in complex systems
- Statistical physics of vaccination
- Spontaneous synchrony in power-grid networks
- Recent advances in percolation theory and its applications
- Explosive synchronization in adaptive and multilayer networks
- Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
- Explosive higher-order Kuramoto dynamics on simplicial complexes
- Higher-order interactions in complex networks of phase oscillators promote abrupt synchronization switching
- Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplices
- Explosive first-order transition to synchrony in networked chaotic oscillators
- Controllability transition and nonlocality in network control
- Explosive Phenomena in Complex Networks
- Multiorder Laplacian for synchronization in higher-order networks
- The synchronized dynamics of time-varying networks
- Collective phenomena emerging from the interactions between dynamical processes in multiplex networks
- Synchronization in networks with multiple interaction layers
- Cluster Explosive Synchronization in Complex Networks
- Explosive Percolation: Novel critical and supercritical phenomena
- Optimal synchronization of complex networks
- Dynamics of social contagions with memory of non-redundant information
- Recent advances and open challenges in percolation
- Kuramoto model with frequency-degree correlations on complex networks
- Basin of Attraction Determines Hysteresis in Explosive Synchronization
- Immunization and targeted destruction of networks using explosive percolation
- Avoiding a Spanning Cluster in Percolation Models
- Explosive transitions to synchronization in networked phase oscillators
- Explosive synchronization in weighted complex networks
- Dynamical Systems on Networks: A Tutorial
- Analysis of Remote Synchronization in Complex Networks
- The Bellerophon state: a novel coherent phase of globally coupled oscillators
- Higher-order interactions improve optimal collective dynamics on networks
- Anticipating synchronization with machine learning
- Hybrid Phase Transition into an Absorbing State: Percolation and Avalanches
- Hybrid Percolation Transition in Cluster Merging Processes: Continuously Varying Exponents
- Contrarians synchronize beyond the limit of pairwise interactions
- From the origin of life to pandemics: Emergent phenomena in complex systems
- Disorder induces explosive synchronization
- Emergent explosive synchronization in adaptive complex networks
- Rare events and discontinuous percolation transitions
- Erosion of synchronization in networks of coupled oscillators
- Explosive oscillation death in coupled Stuart-Landau oscillators
- Explosive synchronization in phase-frustrated multiplex networks
- How to suppress undesired synchronization
- Inhibition induced explosive synchronization in multiplex networks
- Development of structural correlations and synchronization from adaptive rewiring in networks of Kuramoto oscillators
- Bifurcation analysis and structural stability of simplicial oscillator populations
- Entropy production as tool for characterizing nonequilibrium phase transitions
- Critical noise of majority-vote model on complex networks
- Hyperedge overlap drives explosive collective behaviors in systems with higher-order interactions
- Ott-Antonsen attractiveness for parameter-dependent oscillatory networks
- Heterogeneous nucleation in finite size adaptive dynamical networks
- Controlling the uncertain response of real multiplex networks to random damage
- Delay Regulated Explosive Synchronization in Multiplex Networks
- Inter-layer adaptation induced explosive synchronization in multiplex networks
- Competition of simple and complex adoption on interdependent networks
- Complex macroscopic behavior in systems of phase oscillators with adaptive coupling
- Explosive synchronization transitions in complex neural network
- Dynamic learning of synchronization in coupled nonlinear systems
- Collective dynamics of heterogeneously and nonlinearly coupled phase oscillators
- Assortative mixing enhances the irreversible nature of explosive synchronization in growing scale-free networks
- Transition to synchrony in degree-frequency correlated Sakaguchi-Kuramoto model
- Effects of degree-frequency correlations on network synchronization: universality and full phase-locking
- Explosive synchronization with partial degree-frequency correlation
- Synchronization of phase oscillators on complex hypergraphs
- Analysis of cluster explosive synchronization in complex networks
- Chimera-like behavior in a heterogeneous Kuramoto model: the interplay between the attractive and repulsive coupling
- First-order synchronization transition in a large population of strongly coupled relaxation oscillators
- Multilayer Network Science: from Cells to Societies
- Effect of assortative mixing in the second-order Kuramoto model
- Collective dynamics in two populations of noisy oscillators with asymmetric interactions
- Effective potential approach to hybrid synchronization transitions
- Dynamic interaction induced explosive death
- Explosive Percolation: Unusual Transitions of a Simple Model
- Explosive transitions induced by interdependent contagion-consensus dynamics in multiplex networks
- Beta-rhythm oscillations and synchronization transition in network models of Izhikevich neurons: effect of topology and synaptic type
- Frequency assortativity can induce chaos in oscillator networks
- Dirac synchronization is rhythmic and explosive
- A model bridging chimera state and explosive synchronization
- Explosive death in nonlinear oscillators coupled by quorum sensing
- Synchrony-optimized networks of Kuramoto oscillators with inertia
- Generalized splay states in phase oscillator networks
- Multiplexing induced explosive synchronization in Kuramoto oscillators with inertia
- Cyclops states in repulsive Kuramoto networks: the role of higher-order coupling
- Threefold way to the dimension reduction of dynamics on networks: an application to synchronization
- Levy random walks on multiplex networks
- Optimal synchronization of directed complex networks
- Rumor propagation with heterogeneous transmission in social networks
- Network-complement transitions, symmetries, and cluster synchronization
- Antagonistic Phenomena in Network Dynamics
- Explosive synchronization and chimera in interpinned multilayer networks
- Heterogeneity induces emergent functional networks for synchronization
- Complexity reduction in the 3D Kuramoto model
- Explosive synchronization in interlayer phase-shifted Kuramoto oscillators on multiplex networks
- Synchronization centrality and explosive synchronization in complex networks
- Generic criterion for explosive synchronization in heterogeneous phase oscillator populations
- Heterogeneous excitable systems exhibit Griffiths phases below hybrid phase transitions
- Synchronization of oscillators through time-shifted common inputs
- Kuramoto dilemma alleviated by optimizing connectivity and rationality
- Partial inertia induces additional phase transition in the explosive majority vote model
- Generalized frustration in the multidimensional Kuramoto model
- Motion-induced synchronization in metapopulations of mobile agents
- Self-organized explosive synchronization in complex networks: Emergence of synchronization bombs
- Bounding the first exit from the basin: Independence Times and Finite-Time Basin Stability
- Weakly Explosive Percolation in Directed Networks
- Explosive, continuous and frustrated synchronization transition in spiking Hodgkin-Huxley neuronal networks: the role of topology and synaptic interaction
- Amplification of explosive width in complex networks
- Two Types of Discontinuous Percolation Transitions in Cluster Merging Processes
- Synchronization transition in Sakaguchi-Kuramoto model on complex networks with partial degree-frequency correlation
- Driven synchronization in random networks of oscillators
- Order parameter analysis of synchronization transitions on star networks
- Matrix coupling and generalized frustration in Kuramoto oscillators
- Enhancing network synchronization by phase modulation
- Experimental demonstration of crowd synchrony and first-order transition with lasers
- Concurrent enhancement of percolation and synchronization in adaptive networks
- Collective dynamics on higher-order networks
- Non-Local Product Rules for Percolation
- Universal scaling and phase transitions of coupled phase oscillator populations
- Synchronization transitions in Kuramoto networks with higher-mode interaction
- Optimal synchronizability of bearings
- Multifaceted dynamics of Janus oscillator networks
- Hierarchical causality in financial economics
- Synchronization in the random field Kuramoto model on complex networks
- Synchronization versus neighborhood similarity in complex networks of non-identical oscillators
- Stability Diagram, Hysteresis, and Critical Time Delay and Frequency for the Kuramoto Model with Heterogeneous Interaction Delays
- Erosion of synchronization: Coupling heterogeneity and network structure
- Synchronization of Coupled Kuramoto Oscillators under Resource Constraints
- On controlling networks of limit-cycle oscillators
- Exploring the phase diagrams of multidimensional Kuramoto models
- Synchronization Invariance Under Network Structural Transformations
- Networks of noisy oscillators with correlated degree and frequency dispersion
- Self-organized bistability on scale-free networks
- Cooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlations
- Critical Neuromorphic Computing based on Explosive Synchronization
- Synchronization transition of the second-order Kuramoto model on lattices
- Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies
- Unified framework for hybrid percolation transitions based on microscopic dynamics
- Impact of Committed Minorities: Unveiling Critical Mass of Cooperation in the Iterated Prisoner's Dilemma Game
- An efficient approach to suppress the negative role of contrarian oscillators in synchronization
- Stochastic thermodynamics of inertial-like Stuart-Landau dimer
- Bifurcations in the Kuramoto model with external forcing and higher-order interactions
- Double phase transition of the Ising model in core-periphery networks
- Spontaneous symmetry breaking and discontinuous phase transition for spreading dynamics in multiplex networks
- Third order interactions shift the critical coupling in multidimensional Kuramoto models
- Geometric unfolding of synchronization dynamics on networks
- Explosive synchronization in coupled nonlinear oscillators on multiplex network
- Continuous and discontinuous transitions to synchronization
- Synchronization of Network-Coupled Oscillators with Uncertain Dynamics
- Inferring synchronizability of networked heterogenous oscillators with machine learning
- Chimera-like States in Structured Heterogeneous Networks
- Multistable Dissipative Breathers and Novel Collective States in SQUID Lieb Metamaterials
- Collective dynamics of random Janus oscillator networks
- Symmetry and symmetry breaking in coupled oscillator communities
- Optimizing synchronization in multiplex networks of phase oscillators
- Phase transition in crowd synchrony of delay-coupled multilayer laser networks
- Explosive synchronization transition in a ring of coupled oscillators
- Influence of cumulative damage on synchronization of Kuramoto oscillators on networks
- Synchronization transitions in adaptive simplicial complexes with cooperative and competitive dynamics
- Data-driven Selection of Coarse-Grained Models of Coupled Oscillators
- Node differentiation dynamics along the route to synchronization in complex networks
- Competitive Suppression of Synchronization and Non-Monotonic Transitions in Oscillator Communities with Distributed Time Delay
- Quantifying the dynamics of coupled networks of switches and oscillators
- Cooperation transitions in social games induced by aspiration-driven players
- Synchronization on star graph with noise
- How to grow an oscillator network with enhanced synchronization
- Topologically-induced suppression of explosive synchronization
- Kuramoto variables as eigenvalues of unitary matrices
- Explosive synchronization in temporal networks: A comparative study
- Discontinuous percolation via suppression of neighboring clusters in a network
- Explosive behaviour in networks of Winfree oscillators
- Synchronization of an evolving complex hyper-network
- Hopf-Induced Desynchronization
- Collective dynamics of identical phase oscillators with high-order coupling
- Optimal cost tuning of frustration: Achieving desired states in the Kuramoto-Sakaguchi model
- Synchronization of phase oscillators with frequency-weighted coupling
- Low dimensional behaviour of generalized Kuramoto model
- Edges of inter-layer synchronization in multilayer networks with time-switching links
- Explosive synchronization in networks of Type-I neurons with electrical synapses
- Dynamics of coupled -dimensional Stuart-Landau oscillators
- Phase Synchronization on Spacially Embeded Duplex Networks with Total Cost Constraint
- Mediated Transmission of Quantum Synchronization in Star Networks
- Quorum sensing and remote synchronization in networks of Kuramoto oscillators: a biological interpretation