Coupling functions: Universal insights into dynamical interaction mechanisms
Published 2017 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
Coupling functions: Universal insights into dynamical interaction mechanisms
Authors
Keywords
-
Journal
REVIEWS OF MODERN PHYSICS
Volume 89, Issue 4, Pages -
Publisher
American Physical Society (APS)
Online
2017-11-07
DOI
10.1103/revmodphys.89.045001
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- Chaos in generically coupled phase oscillator networks with nonpairwise interactions
- (2016) Christian Bick et al. CHAOS
- Qualitative and quantitative stability analysis of penta-rhythmic circuits
- (2016) Justus T C Schwabedal et al. NONLINEARITY
- Alterations in the coupling functions between cortical and cardio-respiratory oscillations due to anaesthesia with propofol and sevoflurane
- (2016) Tomislav Stankovski et al. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
- Optimal Extraction of Collective Oscillations from Unreliable Measurements
- (2016) Justus T. C. Schwabedal et al. PHYSICAL REVIEW LETTERS
- The Kuramoto model in complex networks
- (2016) Francisco A. Rodrigues et al. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
- Reconstructing Time-Dependent Dynamics
- (2016) Philip Clemson et al. PROCEEDINGS OF THE IEEE
- Extraction of instantaneous frequencies from ridges in time–frequency representations of signals
- (2016) D. Iatsenko et al. SIGNAL PROCESSING
- Modelling chronotaxicity of cellular energy metabolism to facilitate the identification of altered metabolic states
- (2016) Gemma Lancaster et al. Scientific Reports
- Self-Sustained Irregular Activity in an Ensemble of Neural Oscillators
- (2016) Ekkehard Ullner et al. Physical Review X
- Weak chimeras in minimal networks of coupled phase oscillators
- (2015) Peter Ashwin et al. CHAOS
- Maps Close to Identity and Universal Maps in the Newhouse Domain
- (2015) Dmitry Turaev COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Phase reduction approach to synchronisation of nonlinear oscillators
- (2015) Hiroya Nakao CONTEMPORARY PHYSICS
- Information Decomposition in Bivariate Systems: Theory and Application to Cardiorespiratory Dynamics
- (2015) Luca Faes et al. Entropy
- Bayesian inference of interaction properties of noisy dynamical systems with time-varying coupling: capabilities and limitations
- (2015) Jens Wilting et al. EUROPEAN PHYSICAL JOURNAL B
- Heteroclinic Networks in Homogeneous and Heterogeneous Identical Cell Systems
- (2015) M. J. Field JOURNAL OF NONLINEAR SCIENCE
- Coupling functions in networks of oscillators
- (2015) Tomislav Stankovski et al. NEW JOURNAL OF PHYSICS
- Equivalence of phase-oscillator and integrate-and-fire models
- (2015) Antonio Politi et al. PHYSICAL REVIEW E
- Stable and transient multicluster oscillation death in nonlocally coupled networks
- (2015) Isabelle Schneider et al. PHYSICAL REVIEW E
- Collective phase response curves for heterogeneous coupled oscillators
- (2015) Kevin M. Hannay et al. PHYSICAL REVIEW E
- Adding connections can hinder network synchronization of time-delayed oscillators
- (2015) Joseph D. Hart et al. PHYSICAL REVIEW E
- Explosive synchronization is discontinuous
- (2015) Vladimir Vlasov et al. PHYSICAL REVIEW E
- Causal Network Inference by Optimal Causation Entropy
- (2015) Jie Sun et al. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
- Improving Network Structure can lead to Functional Failures
- (2015) Jan Philipp Pade et al. Scientific Reports
- Experimental Study of the Triplet Synchronization of Coupled Nonidentical Mechanical Metronomes
- (2015) Ji Jia et al. Scientific Reports
- 3-way Networks: Application of Hypergraphs for Modelling Increased Complexity in Comparative Genomics
- (2015) Deborah A Weighill et al. PLoS Computational Biology
- Synchronization of oscillators in a Kuramoto-type model with generic coupling
- (2014) Vladimir Vlasov et al. CHAOS
- Classification of attractors for systems of identical coupled Kuramoto oscillators
- (2014) Jan R. Engelbrecht et al. CHAOS
- Multi-cluster dynamics in coupled phase oscillator networks
- (2014) Asma Ismail et al. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL
- Towards a theory for diffusive coupling functions allowing persistent synchronization
- (2014) Tiago Pereira et al. NONLINEARITY
- Clustering in globally coupled oscillators near a Hopf bifurcation: Theory and experiments
- (2014) Hiroshi Kori et al. PHYSICAL REVIEW E
- Inverse approach to chronotaxic systems for single-variable time series
- (2014) Philip T. Clemson et al. PHYSICAL REVIEW E
- Chimera Death: Symmetry Breaking in Dynamical Networks
- (2014) Anna Zakharova et al. PHYSICAL REVIEW LETTERS
- Discerning non-autonomous dynamics
- (2014) Philip T. Clemson et al. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
- Bayesian Dynamical Systems Modelling in the Social Sciences
- (2014) Shyam Ranganathan et al. PLoS One
- The Dynamics of Democracy, Development and Cultural Values
- (2014) Viktoria Spaiser et al. PLoS One
- Key Bifurcations of Bursting Polyrhythms in 3-Cell Central Pattern Generators
- (2014) Jeremy Wojcik et al. PLoS One
- Testing Turing's theory of morphogenesis in chemical cells
- (2014) N. Tompkins et al. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
- Cluster synchronization and isolated desynchronization in complex networks with symmetries
- (2014) Louis M. Pecora et al. Nature Communications
- Glassy states and super-relaxation in populations of coupled phase oscillators
- (2014) D. Iatsenko et al. Nature Communications
- It is not the parts, but how they interact that determines the behaviour of circadian rhythms across scales and organisms
- (2014) D. DeWoskin et al. Interface Focus
- Coupling Functions Enable Secure Communications
- (2014) Tomislav Stankovski et al. Physical Review X
- Phase-Reduction Approach to Synchronization of Spatiotemporal Rhythms in Reaction-Diffusion Systems
- (2014) Hiroya Nakao et al. Physical Review X
- Time delay control of symmetry-breaking primary and secondary oscillation death
- (2013) A. Zakharova et al. EPL
- A brief review of methods for terminal functionalization of DNA
- (2013) Yuanchen Dong et al. METHODS
- How basin stability complements the linear-stability paradigm
- (2013) Peter J. Menck et al. Nature Physics
- Exploring mechanisms of spontaneous functional connectivity in MEG: How delayed network interactions lead to structured amplitude envelopes of band-pass filtered oscillations
- (2013) Joana Cabral et al. NEUROIMAGE
- Evolution of cardiorespiratory interactions with age
- (2013) D. Iatsenko et al. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
- Evolving networks in the human epileptic brain
- (2013) Klaus Lehnertz et al. PHYSICA D-NONLINEAR PHENOMENA
- Detecting triplet locking by triplet synchronization indices
- (2013) Björn Kralemann et al. PHYSICAL REVIEW E
- Synchronization of a Josephson junction array in terms of global variables
- (2013) Vladimir Vlasov et al. PHYSICAL REVIEW E
- Oscillation death in diffusively coupled oscillators by local repulsive link
- (2013) C. R. Hens et al. PHYSICAL REVIEW E
- Chronotaxic Systems: A New Class of Self-Sustained Nonautonomous Oscillators
- (2013) Yevhen F. Suprunenko et al. PHYSICAL REVIEW LETTERS
- Phase Reduction Method for Strongly Perturbed Limit Cycle Oscillators
- (2013) Wataru Kurebayashi et al. PHYSICAL REVIEW LETTERS
- Multiplicity of Singular Synchronous States in the Kuramoto Model of Coupled Oscillators
- (2013) Maxim Komarov et al. PHYSICAL REVIEW LETTERS
- Experimental Observations of Group Synchrony in a System of Chaotic Optoelectronic Oscillators
- (2013) Caitlin R. S. Williams et al. PHYSICAL REVIEW LETTERS
- Transition from Amplitude to Oscillation Death via Turing Bifurcation
- (2013) Aneta Koseska et al. PHYSICAL REVIEW LETTERS
- Connectivity-Driven Coherence in Complex Networks
- (2013) Tiago Pereira et al. PHYSICAL REVIEW LETTERS
- Detecting connectivity of small, dense oscillator networks from dynamical measurements based on a phase modeling approach
- (2013) Isao T. Tokuda et al. PHYSICS LETTERS A
- Oscillation quenching mechanisms: Amplitude vs. oscillation death
- (2013) Aneta Koseska et al. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
- Connection, Connection, Connection...
- (2013) P. Stern SCIENCE
- Structural and Functional Brain Networks: From Connections to Cognition
- (2013) H.-J. Park et al. SCIENCE
- Computation of Limit Cycles and Their Isochrons: Fast Algorithms and Their Convergence
- (2013) Gemma Huguet et al. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
- Cross-frequency coupling in real and virtual brain networks
- (2013) Viktor Jirsa et al. Frontiers in Computational Neuroscience
- In vivo cardiac phase response curve elucidates human respiratory heart rate variability
- (2013) Björn Kralemann et al. Nature Communications
- Phase-Amplitude Response Functions for Transient-State Stimuli
- (2013) Oriol Castejón et al. Journal of Mathematical Neuroscience
- Experimental observation of chimeras in coupled-map lattices
- (2012) Aaron M. Hagerstrom et al. Nature Physics
- Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study
- (2012) Gary Froyland et al. PHYSICA D-NONLINEAR PHENOMENA
- Formation of antiwaves in gap-junction-coupled chains of neurons
- (2012) Alexander Urban et al. PHYSICAL REVIEW E
- Dynamical Bayesian inference of time-evolving interactions: From a pair of coupled oscillators to networks of oscillators
- (2012) Andrea Duggento et al. PHYSICAL REVIEW E
- Kuramoto model with time-varying parameters
- (2012) Spase Petkoski et al. PHYSICAL REVIEW E
- Phase synchronization of bursting neurons in clustered small-world networks
- (2012) C. A. S. Batista et al. PHYSICAL REVIEW E
- Inference of Time-Evolving Coupled Dynamical Systems in the Presence of Noise
- (2012) Tomislav Stankovski et al. PHYSICAL REVIEW LETTERS
- Nonuniversal Transitions to Synchrony in the Sakaguchi-Kuramoto Model
- (2012) Oleh E. Omel’chenko et al. PHYSICAL REVIEW LETTERS
- Self-Organized Synchronization in Decentralized Power Grids
- (2012) Martin Rohden et al. PHYSICAL REVIEW LETTERS
- Synchronization of clocks
- (2012) Marcin Kapitaniak et al. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
- Amplitude death: The emergence of stationarity in coupled nonlinear systems
- (2012) Garima Saxena et al. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
- Synchronization and Transient Stability in Power Networks and Nonuniform Kuramoto Oscillators
- (2012) Florian Dörfler et al. SIAM JOURNAL ON CONTROL AND OPTIMIZATION
- Uniform description of polar optical phonon states and their Fröhlich electron–phonon interaction Hamiltonians in multi-layer wurtzite nitride low-dimensional quantum structures
- (2012) Li Zhang SUPERLATTICES AND MICROSTRUCTURES
- Sugar transporters in plants and in their interactions with fungi
- (2012) Joan Doidy et al. TRENDS IN PLANT SCIENCE
- Network physiology reveals relations between network topology and physiological function
- (2012) Amir Bashan et al. Nature Communications
- Reconstructing phase dynamics of oscillator networks
- (2011) Björn Kralemann et al. CHAOS
- Dynamics of heterogeneous oscillator ensembles in terms of collective variables
- (2011) Arkady Pikovsky et al. PHYSICA D-NONLINEAR PHENOMENA
- Cluster synchrony in systems of coupled phase oscillators with higher-order coupling
- (2011) Per Sebastian Skardal et al. PHYSICAL REVIEW E
- Information-based detection of nonlinear Granger causality in multivariate processes via a nonuniform embedding technique
- (2011) Luca Faes et al. PHYSICAL REVIEW E
- General mechanism for amplitude death in coupled systems
- (2011) V. Resmi et al. PHYSICAL REVIEW E
- Reconstruction of two-dimensional phase dynamics from experiments on coupled oscillators
- (2011) Karen A. Blaha et al. PHYSICAL REVIEW E
- Chaos in Symmetric Phase Oscillator Networks
- (2011) Christian Bick et al. PHYSICAL REVIEW LETTERS
- Network Reconstruction from Random Phase Resetting
- (2011) Zoran Levnajić et al. PHYSICAL REVIEW LETTERS
- Delay- and Coupling-Induced Firing Patterns in Oscillatory Neural Loops
- (2011) Oleksandr V. Popovych et al. PHYSICAL REVIEW LETTERS
- Bayesian inference in physics
- (2011) Udo von Toussaint REVIEWS OF MODERN PHYSICS
- Colloquium: Nonlinear collective interactions in quantum plasmas with degenerate electron fluids
- (2011) P. K. Shukla et al. REVIEWS OF MODERN PHYSICS
- The Spectrum of Delay Differential Equations with Large Delay
- (2011) M. Lichtner et al. SIAM JOURNAL ON MATHEMATICAL ANALYSIS
- Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool
- (2010) Ingrid Daubechies et al. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
- Do small worlds synchronize fastest?
- (2010) C. Grabow et al. EPL
- Generative Models of Cortical Oscillations: Neurobiological Implications of the Kuramoto Model
- (2010) Michael Breakspear et al. Frontiers in Human Neuroscience
- Dynamics of Coupled Cell Networks: Synchrony, Heteroclinic Cycles and Inflation
- (2010) M. Aguiar et al. JOURNAL OF NONLINEAR SCIENCE
- Time-dependent couplings in the dark sector: from background evolution to non-linear structure formation
- (2010) Marco Baldi MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
- Collective fluctuations in networks of noisy components
- (2010) Naoki Masuda et al. NEW JOURNAL OF PHYSICS
- Phase-response curves and synchronized neural networks
- (2010) R. M. Smeal et al. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES
- Effective phase dynamics of noise-induced oscillations in excitable systems
- (2010) Justus T. C. Schwabedal et al. PHYSICAL REVIEW E
- Detecting couplings between interacting oscillators with time-varying basic frequencies: Instantaneous wavelet bispectrum and information theoretic approach
- (2010) Janez Jamšek et al. PHYSICAL REVIEW E
- Combined effect of chemical and electrical synapses in Hindmarsh-Rose neural networks on synchronization and the rate of information
- (2010) M. S. Baptista et al. PHYSICAL REVIEW E
- Amplitude death in nonlinear oscillators with nonlinear coupling
- (2010) Awadhesh Prasad et al. PHYSICAL REVIEW E
- Distinguishing Direct from Indirect Interactions in Oscillatory Networks with Multiple Time Scales
- (2010) Jakob Nawrath et al. PHYSICAL REVIEW LETTERS
- Dynamics of Limit-Cycle Oscillators Subject to General Noise
- (2010) Denis S. Goldobin et al. PHYSICAL REVIEW LETTERS
- Synchronizing Distant Nodes: A Universal Classification of Networks
- (2010) V. Flunkert et al. PHYSICAL REVIEW LETTERS
- Irregular Collective Behavior of Heterogeneous Neural Networks
- (2010) Stefano Luccioli et al. PHYSICAL REVIEW LETTERS
- Random matrices and chaos in nuclear physics: Nuclear reactions
- (2010) G. E. Mitchell et al. REVIEWS OF MODERN PHYSICS
- Synchronization of Firing in Cortical Fast-Spiking Interneurons at Gamma Frequencies: A Phase-Resetting Analysis
- (2010) Nathan W. Gouwens et al. PLoS Computational Biology
- Invariant submanifold for series arrays of Josephson junctions
- (2009) Seth A. Marvel et al. CHAOS
- Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action
- (2009) Seth A. Marvel et al. CHAOS
- Diverse routes to oscillation death in a coupled-oscillator system
- (2009) J. J. Suárez-Vargas et al. EPL
- Competition between noise and coupling in the induction of synchronisation
- (2009) D. García-Álvarez et al. EPL
- Master stability functions for coupled nearly identical dynamical systems
- (2009) J. Sun et al. EPL
- Contraction Theory and Master Stability Function: Linking Two Approaches to Study Synchronization of Complex Networks
- (2009) Giovanni Russo et al. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
- Semi-passivity and synchronization of diffusively coupled neuronal oscillators
- (2009) Erik Steur et al. PHYSICA D-NONLINEAR PHENOMENA
- Phase-response curves of coupled oscillators
- (2009) Tae-Wook Ko et al. PHYSICAL REVIEW E
- Self-sustained collective oscillation generated in an array of nonoscillatory cells
- (2009) Yue Ma et al. PHYSICAL REVIEW E
- Detection of couplings in ensembles of stochastic oscillators
- (2009) Dmitry A. Smirnov et al. PHYSICAL REVIEW E
- Reliable detection of directional couplings using rank statistics
- (2009) Daniel Chicharro et al. PHYSICAL REVIEW E
- Generic behavior of master-stability functions in coupled nonlinear dynamical systems
- (2009) Liang Huang et al. PHYSICAL REVIEW E
- Stochastic Phase Reduction for a General Class of Noisy Limit Cycle Oscillators
- (2009) Jun-nosuke Teramae et al. PHYSICAL REVIEW LETTERS
- The Roles of CaMKII and F-Actin in the Structural Plasticity of Dendritic Spines: A Potential Molecular Identity of a Synaptic Tag?
- (2009) Kenichi Okamoto et al. PHYSIOLOGY
- Designing the Dynamics of Globally Coupled Oscillators
- (2009) G. Orosz et al. PROGRESS OF THEORETICAL PHYSICS
- Fractal structures in nonlinear dynamics
- (2009) Jacobo Aguirre et al. REVIEWS OF MODERN PHYSICS
- Low dimensional behavior of large systems of globally coupled oscillators
- (2008) Edward Ott et al. CHAOS
- Analysis of a power grid using a Kuramoto-like model
- (2008) G. Filatrella et al. EUROPEAN PHYSICAL JOURNAL B
- Good Vibrations: Cross-frequency Coupling in the Human Nucleus Accumbens during Reward Processing
- (2008) Michael X Cohen et al. JOURNAL OF COGNITIVE NEUROSCIENCE
- Haematopoietic stem cell release is regulated by circadian oscillations
- (2008) Simón Méndez-Ferrer et al. NATURE
- Phase dynamics of coupled oscillators reconstructed from data
- (2008) Björn Kralemann et al. PHYSICAL REVIEW E
- Direction of Coupling from Phases of Interacting Oscillators: A Permutation Information Approach
- (2008) A. Bahraminasab et al. PHYSICAL REVIEW LETTERS
- Phase Reduction of Stochastic Limit Cycle Oscillators
- (2008) Kazuyuki Yoshimura et al. PHYSICAL REVIEW LETTERS
- Symbolic Transfer Entropy
- (2008) Matthäus Staniek et al. PHYSICAL REVIEW LETTERS
- Synchronization in complex networks
- (2008) Alex Arenas et al. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
- Cholinergic Neuromodulation Changes Phase Response Curve Shape and Type in Cortical Pyramidal Neurons
- (2008) Klaus M. Stiefel et al. PLoS One
- Entrainment of Neuronal Oscillations as a Mechanism of Attentional Selection
- (2008) P. Lakatos et al. SCIENCE
- Tensegrity-guided self assembly: from molecules to living cells
- (2008) Dimitrije Stamenović et al. Soft Matter
- Reliability, synchrony and noise
- (2008) G. Bard Ermentrout et al. TRENDS IN NEUROSCIENCES
- Oxygen sensors in context
- (2007) Jeremy P.T. Ward BIOCHIMICA ET BIOPHYSICA ACTA-BIOENERGETICS
Become a Peeref-certified reviewer
The Peeref Institute provides free reviewer training that teaches the core competencies of the academic peer review process.
Get StartedAsk a Question. Answer a Question.
Quickly pose questions to the entire community. Debate answers and get clarity on the most important issues facing researchers.
Get Started