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Phase synchronization between collective rhythms of fully locked oscillator groups
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Mathematical Foundations of Neuroscience
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Weakly Connected Neural Networks
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Phase Response Curves in Neuroscience
inferredcites →https://doi.org/10.1007/978-3-540-71269-5openalex-snapshot
Synchronization in Oscillatory Networks
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Chemical Oscillations, Waves, and Turbulence
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The Geometry of Biological Time
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The spectrum of the locked state for the Kuramoto model of coupled oscillators
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Collective phase dynamics of globally coupled oscillators: Noise-induced anti-phase synchronization
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Complex networks: Structure and dynamics
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Synchronization in complex networks
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From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators
inferredcites →https://doi.org/10.1017/cbo9780511791383openalex-snapshot
Dynamical Processes on Complex Networks
inferredcites →https://doi.org/10.1038/nphys2371openalex-snapshot
Chimera and phase-cluster states in populations of coupled chemical oscillators
inferredcites →https://doi.org/10.1063/1.2930766openalex-snapshot
Low dimensional behavior of large systems of globally coupled oscillators
inferredcites →https://doi.org/10.1063/1.3068353openalex-snapshot
Chimera states in heterogeneous networks
inferredcites →https://doi.org/10.1063/1.3136851openalex-snapshot
Long time evolution of phase oscillator systems
inferredcites →https://doi.org/10.1063/1.3491344openalex-snapshot
Phase synchronization between collective rhythms of globally coupled oscillator groups: Noisy identical case
inferredcites →https://doi.org/10.1063/1.3491346openalex-snapshot
Phase synchronization between collective rhythms of globally coupled oscillator groups: Noiseless nonidentical case
inferredcites →https://doi.org/10.1063/1.3574931openalex-snapshot
Comment on “Long time evolution of phase oscillator systems” [Chaos 19 , 023117 (2009)]
inferredcites →https://doi.org/10.1063/1.3672513openalex-snapshot
Multiscale dynamics in communities of phase oscillators
inferredcites →https://doi.org/10.1063/1.4758814openalex-snapshot
Disorder-induced dynamics in a pair of coupled heterogeneous phase oscillator networks
inferredcites →https://doi.org/10.1073/pnas.1302880110openalex-snapshot
Chimera states in mechanical oscillator networks
inferredcites →https://doi.org/10.1088/1367-2630/11/11/113002openalex-snapshot
Impact of hierarchical modular structure on ranking of individual nodes in directed networks
inferredcites →https://doi.org/10.1088/1367-2630/12/9/093007openalex-snapshot
Collective fluctuations in networks of noisy components
inferredcites →https://doi.org/10.1103/physreve.70.056125openalex-snapshot
Synchronization of two interacting populations of oscillators
inferredcites →https://doi.org/10.1103/physreve.77.036107openalex-snapshot
Synchronization in networks of networks: The onset of coherent collective behavior in systems of interacting populations of heterogeneous oscillators
inferredcites →https://doi.org/10.1103/physreve.78.025201openalex-snapshot
Routes to synchrony between asymmetrically interacting oscillator ensembles
inferredcites →https://doi.org/10.1103/physreve.79.016211openalex-snapshot
Phase-response curves of coupled oscillators
inferredcites →https://doi.org/10.1103/physreve.79.046210openalex-snapshot
Asymmetry-induced effects in coupled phase-oscillator ensembles: Routes to synchronization
inferredcites →https://doi.org/10.1103/physreve.80.026202openalex-snapshot
Perturbation analysis of complete synchronization in networks of phase oscillators
inferredcites →https://doi.org/10.1103/physreve.80.036207openalex-snapshot
Collective-phase description of coupled oscillators with general network structure
inferredcites →https://doi.org/10.1103/physreve.80.046114openalex-snapshot
Analysis of relative influence of nodes in directed networks
inferredcites →https://doi.org/10.1103/physreve.85.016208openalex-snapshot
Hierarchical synchrony of phase oscillators in modular networks
inferredcites →https://doi.org/10.1103/physreve.85.046214openalex-snapshot
Improving the frequency precision of oscillators by synchronization
inferredcites →https://doi.org/10.1103/physreve.87.052902openalex-snapshot
Frequency precision of two-dimensional lattices of coupled oscillators with spiral patterns
inferredcites →https://doi.org/10.1103/physrevlett.101.024101openalex-snapshot
Collective Phase Sensitivity
inferredcites →https://doi.org/10.1103/physrevlett.101.084103openalex-snapshot
Solvable Model for Chimera States of Coupled Oscillators
inferredcites →https://doi.org/10.1103/revmodphys.77.137openalex-snapshot
The Kuramoto model: A simple paradigm for synchronization phenomena
inferredcites →https://doi.org/10.1103/revmodphys.80.1275openalex-snapshot
Critical phenomena in complex networks
inferredcites →https://doi.org/10.1112/s0024609397003305openalex-snapshot
Algebraic Potential Theory on Graphs
inferredcites →https://doi.org/10.1126/science.1070757openalex-snapshot
Emerging Coherence in a Population of Chemical Oscillators
inferredcites →https://doi.org/10.1126/science.1140858openalex-snapshot
Engineering Complex Dynamical Structures: Sequential Patterns and Desynchronization
inferredcites →https://doi.org/10.1126/science.1166253openalex-snapshot
Dynamical Quorum Sensing and Synchronization in Large Populations of Chemical Oscillators
inferredcites →https://doi.org/10.1137/0152096openalex-snapshot
Stable Periodic Solutions to Discrete and Continuum Arrays of Weakly Coupled Nonlinear Oscillators
inferredcites →https://doi.org/10.1142/9789812562463openalex-snapshot
Emergence of Dynamical Order - Synchronization Phenomena in Complex Systems
inferredcites →https://doi.org/10.1143/ptp.86.1159openalex-snapshot
Mutual Entrainment between Populations of Coupled Oscillators
inferredcites →https://doi.org/10.48550/arxiv.math/0602059openalex-snapshot
The Matrix of Maximum Out Forests of a Digraph and Its Applications
inferredcites →https://doi.org/10.7551/mitpress/2526.001.0001openalex-snapshot
Dynamical Systems in Neuroscience
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1016/j.neucom.2018.04.067openalex-snapshot
Exponential synchronization and phase locking of a multilayer Kuramoto-oscillator system with a pacemaker
inferred← citeshttps://doi.org/10.1016/j.physd.2016.09.009openalex-snapshot
Gaussian noise and the two-network frustrated Kuramoto model
inferred← citeshttps://doi.org/10.1016/j.physrep.2019.06.001openalex-snapshot
Network dynamics of coupled oscillators and phase reduction techniques
inferred← citeshttps://doi.org/10.1039/c5cp06883eopenalex-snapshot
Dynamical regimes of four almost identical chemical oscillators coupled via pulse inhibitory coupling with time delay
inferred← citeshttps://doi.org/10.1039/c7cp01177fopenalex-snapshot
Dynamical regimes of four oscillators with excitatory pulse coupling
inferred← citeshttps://doi.org/10.1063/1.4995961openalex-snapshot
Local complexity predicts global synchronization of hierarchically networked oscillators
inferred← citeshttps://doi.org/10.1063/1.5009669openalex-snapshot
Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations
inferred← citeshttps://doi.org/10.1098/rsta.2019.0095openalex-snapshot
Anti-phase collective synchronization with intrinsic in-phase coupling of two groups of electrochemical oscillators
inferred← citeshttps://doi.org/10.1103/physreve.111.014205openalex-snapshot
Setting of the Poincaré section for accurately calculating the phase of rhythmic spatiotemporal dynamics
inferred← citeshttps://doi.org/10.1103/physreve.94.032201openalex-snapshot
Optimization of noise-induced synchronization of oscillator networks
inferred← citeshttps://doi.org/10.1103/physreve.95.032225openalex-snapshot
Collective phase reduction of globally coupled noisy dynamical elements
inferred← citeshttps://doi.org/10.30537/sjcms.v4i2.613openalex-snapshot
Optimization of Central Pattern Generator based Quadruped Animation using Time Series with Genetic Algorithm
inferred← citeshttps://doi.org/10.3389/fncir.2016.00012openalex-snapshot
The Art of Grid Fields: Geometry of Neuronal Time
inferred← citeshttps://doi.org/10.3389/fphy.2018.00063openalex-snapshot
Synchronization of Pacemaking in the Sinoatrial Node: A Mathematical Modeling Study
inferred← citeshttps://doi.org/10.7566/jpsj.91.124001openalex-snapshot
Extracting Phase Coupling Functions between Collectively Oscillating Networks from Time-Series Data
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