Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
DOI10.1016/J.PHYSREP.2016.10.004zbMath1359.34048arXiv1610.01361OpenAlexW3104681587MaRDI QIDQ521784
Zhen Wang, Irene Sendiña-Nadal, Inmaculada Leyva, Zonghua Liu, Stefano Boccaletti, Shuguang Guan, Yong Zou, Juan Antonio Almendral
Publication date: 12 April 2017
Published in: Physics Reports (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.01361
Social networks; opinion dynamics (91D30) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Deterministic network models in operations research (90B10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Synchronization of solutions to ordinary differential equations (34D06)
Related Items (57)
Cites Work
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- Achlioptas process phase transitions are continuous
- Synchronization in complex networks of phase oscillators: a survey
- Emergence of a multilayer structure in adaptive networks of phase oscillators
- Oscillation quenching mechanisms: amplitude vs. oscillation death
- Recent advances in percolation theory and its applications
- The Kuramoto model in complex networks
- Dynamics of heterogeneous oscillator ensembles in terms of collective variables
- Explosive percolation in the human protein homology network
- Chemical oscillations, waves, and turbulence
- Synchronization in a pool of mutually coupled oscillators with random frequencies
- Globally coupled circle maps
- The dynamics of chimera states in heterogeneous Kuramoto networks
- \(k\)-core architecture and \(k\)-core percolation on complex networks
- Network architecture and spatio-temporally symmetric dynamics
- Synchronization in weighted scale-free networks with degree-degree correlation
- Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
- Birth control for giants
- Phase-locking and critical phenomena in lattices of coupled nonlinear oscillators with random intrinsic frequencies
- The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: a mathematical model
- Dynamics of a large system of coupled nonlinear oscillators
- Nonlinear stability of incoherence and collective synchronization in a population of coupled oscillators
- The asymptotic number of labeled graphs with given degree sequences
- The Ehrenfest classification of phase transitions: Introduction and evolution
- Characterization of the anticipated synchronization regime in the coupled FitzHugh-Nagumo model for neurons
- Sharp metastability threshold for two-dimensional bootstrap percolation
- From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
- A shocking display of synchrony
- The synchronization of chaotic systems
- Self-organized and driven phase synchronization in coupled map networks
- Connection graph stability method for synchronized coupled chaotic systems
- Amplitude expansions for instabilities in populations of globally-coupled oscillators
- Onset of cooperative entrainment in limit-cycle oscillators with uniform all-to-all interactions: Bifurcation of the order function
- Sudden emergence of a giant \(k\)-core in a random graph
- The nature of explosive percolation phase transition
- Intrinsic fluctuations and a phase transition in a class of large populations of interacting oscillators.
- Complex networks: structure and dynamics
- Synchronization in oscillatory networks
- Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators
- Analytical and numerical studies of noise-induced synchronization of chaotic systems
- Spatiotemporal Intermittency in Coupled Map Lattices
- Chimeras in random non-complete networks of phase oscillators
- Analysis of remote synchronization in complex networks
- Mesoscale and clusters of synchrony in networks of bursting neurons
- k-Core Organization in Complex Networks
- Complex dynamics of synergistic coinfections on realistically clustered networks
- The world of the complex Ginzburg-Landau equation
- Emergence of Scaling in Random Networks
- Explosive synchronization transitions in complex neural networks
- Synchronization of Pulse-Coupled Biological Oscillators
- Discontinuous percolation in diffusion-limited cluster aggregation
- Low dimensional behavior of explosive synchronization on star graphs
- Percolation
- EFFECTS OF DEGREE CORRELATION ON THE SYNCHRONIZATION OF NETWORKS OF OSCILLATORS
- Synchronization in complex networks with a modular structure
- Synchronization in large directed networks of coupled phase oscillators
- Synchronization by dynamical relaying in electronic circuit arrays
- Dynamical Processes on Complex Networks
- Isochronous synchronization in mutually coupled chaotic circuits
- Detecting and localizing the foci in human epileptic seizures
- Collective synchronisation in lattices of nonlinear oscillators with randomness
- Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping
- Integrability of a globally coupled oscillator array
- Impact of network topology on synchrony of oscillatory power grids
- Inter-layer synchronization in multiplex networks of identical layers
- Explosive synchronization coexists with classical synchronization in the Kuramoto model
- Synchronization in Networks of Excitatory and Inhibitory Neurons with Sparse, Random Connectivity
- Synchronization in chaotic systems
- Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
- Cluster synchronization in oscillatory networks
- Low dimensional behavior of large systems of globally coupled oscillators
- Long time evolution of phase oscillator systems
- Synchronization transition of identical phase oscillators in a directed small-world network
- Collective dynamics of ‘small-world’ networks
- Pattern formation outside of equilibrium
- A new approach to partial synchronization in globally coupled rotators
- A Guide to Monte Carlo Simulations in Statistical Physics
- Explosive Percolation in Random Networks
- Anticipated synchronization in coupled chaotic maps with delays
- Networks of noisy oscillators with correlated degree and frequency dispersion
- Given enough choice, simple local rules percolate discontinuously
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