Research graph
References from Fluctuation–dissipation of the Kuramoto model on fruit-fly connectomes. Local targets link to admitted publications; unresolved targets remain external evidence.
Unresolved reference
2011 · External reference
Unresolved reference
External reference
Weight distributions in the fruit-fly and the mouse connectomes
10.1016/j.chaos.2026.118425 · 2026 · External reference
Irreversibility and generalized noise
10.1103/physrev.83.34 · 1951 · External reference
Fluctuation-dissipation theorems and entropy production in relaxational systems
10.1103/physrevlett.79.2168 · 1997 · External reference
Fluctuation–dissipation: Response theory in statistical physics
10.1016/j.physrep.2008.02.002 · 2008 · External reference
Universality classes in nonequilibrium lattice systems
10.1103/revmodphys.76.663 · 2004 · External reference
Violations of the fluctuation-dissipation theorem reveal distinct nonequilibrium dynamics of brain states
10.1103/physreve.108.064410 · 2023 · External reference
Fluctuation-dissipation theorem and the discovery of distinctive off-equilibrium signatures of brain states
10.1103/physrevresearch.7.013301 · 2025 · External reference
Learning from mistakes
10.1016/s0306-4522(98)00472-2 · 1999 · External reference
Emergent complex neural dynamics
10.1038/nphys1803 · 2010 · External reference
Being critical of criticality in the brain
10.3389/fphys.2012.00163 · 2012 · External reference
The effect of noise on the synchronization dynamics of the kuramoto model on a large human connectome graph
10.1016/j.neucom.2020.04.161 · 2021 · External reference
Modelling on the very large-scale connectome
2021 · External reference
Differences in the critical dynamics underlying the human and fruit-fly connectome
10.1103/physrevresearch.4.023057 · 2022 · External reference
Synchronization transitions on connectome graphs with external force
10.3389/fphy.2023.1150246 · 2023 · External reference
Critical dynamics of the Kuramoto model on sparse random networks
10.1088/1742-5468/ab16c3 · 2019 · External reference
Critical synchronization dynamics of the kuramoto model on connectome and small world graphs
10.1038/s41598-019-54769-9 · 2019 · External reference
Griffiths phases and localization in hierarchical modular networks
10.1038/srep14451 · 2015 · External reference
Heterogeneous excitable systems exhibit griffiths phases below hybrid phase transitions
10.1103/physrevresearch.3.013106 · 2021 · External reference
Non-equilibrium phase transitions: Volume 2: Ageing and dynamical scaling far from equilibrium
2011 · External reference
Generalised time-translation-invariance in simple ageing
2025 · External reference
Criticality in the brain: A synthesis of neurobiology, models and cognition
10.1016/j.pneurobio.2017.07.002 · 2017 · External reference
Colloquium: Criticality and dynamical scaling in living systems
10.1103/revmodphys.90.031001 · 2018 · External reference
Optimal dynamical range of excitable networks at criticality
10.1038/nphys289 · 2006 · External reference
Predicting criticality and dynamic range in complex networks: Effects of topology
10.1103/physrevlett.106.058101 · 2011 · External reference
Self-organized criticality: An explanation of the 1/f noise
10.1103/physrevlett.59.381 · 1987 · External reference
Nonanalytic behavior above the critical point in a random ising ferromagnet
10.1103/physrevlett.23.17 · 1969 · External reference
Griffiths phases on complex networks
10.1103/physrevlett.105.128701 · 2010 · External reference
Griffiths phases and the stretching of criticality in brain networks
10.1038/ncomms3521 · 2013 · External reference
Critical dynamics on a large human open connectome network
10.1103/physreve.94.062411 · 2016 · External reference
Network statistics of the whole-brain connectome of drosophila
10.1038/s41586-024-07968-y · 2024 · External reference
The human connectome: A structural description of the human brain
10.1371/journal.pcbi.0010042 · 2005 · External reference
Unresolved reference
External reference
A complete electron microscopy volume of the brain of adult drosophila melanogaster
10.1016/j.cell.2018.06.019 · 2018 · External reference
Unresolved reference
2020 · External reference
Modularity and community structure in networks
10.1073/pnas.0601602103 · 2006 · External reference
An algorithm for path connections and its applications
10.1109/tec.1961.5219222 · 1961 · External reference
Unresolved reference
1997 · External reference
Complex network geometry and frustrated synchronization
10.1038/s41598-018-28236-w · 2018 · External reference
Synchronization in network geometries with finite spectral dimension
10.1103/physreve.99.022307 · 2019 · External reference
Networks with many structural scales: A renormalization group perspective
10.1103/physrevlett.134.057401 · 2025 · External reference
Universal properties of spectral dimension
10.1103/physrevlett.76.1091 · 1996 · External reference
Random walk hierarchy measure: What is more hierarchical, a chain, a tree or a star?
10.1038/srep17994 · 2015 · External reference
Scale-free behavior of weight distributions of connectomes
10.1103/physrevresearch.7.013134 · 2025 · External reference
Chemical oscillations, waves, and turbulence
2012 · External reference
The broad edge of synchronization: Griffiths effects and collective phenomena in brain networks
10.1098/rsta.2020.0424 · 2022 · External reference
Generative models of cortical oscillations: Neurobiological implications of the kuramoto model
10.3389/fnhum.2010.00190 · 2010 · External reference
Oscillator death in systems of coupled neural oscillators
10.1137/0150009 · 1990 · External reference
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
2013 · External reference
On the phase reduction and response dynamics of neural oscillator populations
10.1162/089976604322860668 · 2004 · External reference
Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling
10.1063/5.0075285 · 2022 · External reference
Phase transitions in active rotator systems
10.1143/ptp.75.1105 · 1986 · External reference
Internal reliability and antireliability in dynamical networks
10.1103/p5xz-rfv6 · 2025 · External reference
Numerical treatment of ordinary differential equations by extrapolation methods
10.1007/bf02165234 · 1966 · External reference
Order and stepsize control in extrapolation methods
10.1007/bf01418332 · 1983 · External reference
Unresolved reference
External reference
Unresolved reference
External reference
Unresolved reference
2007 · External reference
Unresolved reference
2008 · External reference
The Kuramoto model: A simple paradigm for synchronization phenomena
10.1103/revmodphys.77.137 · 2005 · External reference
Unresolved reference
External reference
Fast unfolding of communities in large networks
10.1088/1742-5468/2008/10/p10008 · 2008 · External reference
Collective synchronization in spatially extended systems of coupled oscillators with random frequencies
10.1103/physreve.72.036217 · 2005 · External reference
Frustrated synchronization of the kuramoto model on complex networks
10.3390/e26121074 · 2024 · External reference
Chimera states for coupled oscillators
10.1103/physrevlett.93.174102 · 2004 · External reference
Thick-restart lanczos method for large symmetric eigenvalue problems
10.1137/s0895479898334605 · 2000 · External reference
Extended finite-size scaling of synchronized coupled oscillators
10.1103/physreve.88.032126 · 2013 · External reference
An energy budget for signaling in the grey matter of the brain
10.1097/00004647-200110000-00001 · 2001 · External reference
Frustrated hierarchical synchronization and emergent complexity in the human connectome network
10.1038/srep05990 · 2014 · External reference
Complex synchronization patterns in the human connectome network
10.1007/978-3-319-29228-1_7 · 2016 · External reference
Complex network geometry and frustrated synchronization
10.1038/s41598-018-28236-w · 2018 · External reference
Oscillations and collective excitability in a model of stochastic neurons under excitatory and inhibitory coupling
10.1103/physreve.100.062416 · 2019 · External reference
Unresolved reference
2026 · External reference
Renormalization group theory for critical phenomena
1976 · External reference
Constructing the human brain metabolic connectome with MR spectroscopic imaging reveals cerebral biochemical organization
10.1038/s41467-025-66124-w · 2025 · External reference
Metabolic brain disorders: Prodromes, symptoms, and syndromes
10.3390/ijms27125190 · 2026 · External reference
Unresolved reference
2024 · External reference
Unresolved reference
2025 · External reference
Transmission time delays organize the brain network synchronization
10.1098/rsta.2018.0132 · 2019 · External reference
Editorial: From structure to function in neuronal networks: Effects of adaptation, time-delays, and noise
2022 · External reference
Synchronization: A universal concept in nonlinear sciences
2003 · External reference
Unresolved reference
2026 · External reference
Unresolved reference
2025 · External reference
Complex synchronization patterns in the human connectome network
10.1007/978-3-319-29228-1_7 · ExternalCitation · doi-reference
Order and stepsize control in extrapolation methods
10.1007/bf01418332 · ExternalCitation · doi-reference
Numerical treatment of ordinary differential equations by extrapolation methods
10.1007/bf02165234 · ExternalCitation · doi-reference
A complete electron microscopy volume of the brain of adult drosophila melanogaster
10.1016/j.cell.2018.06.019 · ExternalCitation · doi-reference
Weight distributions in the fruit-fly and the mouse connectomes
10.1016/j.chaos.2026.118425 · ExternalCitation · doi-reference
The effect of noise on the synchronization dynamics of the kuramoto model on a large human connectome graph
10.1016/j.neucom.2020.04.161 · ExternalCitation · doi-reference
Fluctuation–dissipation: Response theory in statistical physics
10.1016/j.physrep.2008.02.002 · ExternalCitation · doi-reference
Criticality in the brain: A synthesis of neurobiology, models and cognition
10.1016/j.pneurobio.2017.07.002 · ExternalCitation · doi-reference
Learning from mistakes
10.1016/s0306-4522(98)00472-2 · ExternalCitation · doi-reference
Griffiths phases and the stretching of criticality in brain networks
10.1038/ncomms3521 · ExternalCitation · doi-reference
Emergent complex neural dynamics
10.1038/nphys1803 · ExternalCitation · doi-reference
Optimal dynamical range of excitable networks at criticality
10.1038/nphys289 · ExternalCitation · doi-reference
Constructing the human brain metabolic connectome with MR spectroscopic imaging reveals cerebral biochemical organization
10.1038/s41467-025-66124-w · ExternalCitation · doi-reference
Network statistics of the whole-brain connectome of drosophila
10.1038/s41586-024-07968-y · ExternalCitation · doi-reference
Complex network geometry and frustrated synchronization
10.1038/s41598-018-28236-w · ExternalCitation · doi-reference
Critical synchronization dynamics of the kuramoto model on connectome and small world graphs
10.1038/s41598-019-54769-9 · ExternalCitation · doi-reference
Frustrated hierarchical synchronization and emergent complexity in the human connectome network
10.1038/srep05990 · ExternalCitation · doi-reference
Griffiths phases and localization in hierarchical modular networks
10.1038/srep14451 · ExternalCitation · doi-reference
Random walk hierarchy measure: What is more hierarchical, a chain, a tree or a star?
10.1038/srep17994 · ExternalCitation · doi-reference
Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling
10.1063/5.0075285 · ExternalCitation · doi-reference
Modularity and community structure in networks
10.1073/pnas.0601602103 · ExternalCitation · doi-reference
Fast unfolding of communities in large networks
10.1088/1742-5468/2008/10/p10008 · ExternalCitation · doi-reference
Critical dynamics of the Kuramoto model on sparse random networks
10.1088/1742-5468/ab16c3 · ExternalCitation · doi-reference
An energy budget for signaling in the grey matter of the brain
10.1097/00004647-200110000-00001 · ExternalCitation · doi-reference
Transmission time delays organize the brain network synchronization
10.1098/rsta.2018.0132 · ExternalCitation · doi-reference
The broad edge of synchronization: Griffiths effects and collective phenomena in brain networks
10.1098/rsta.2020.0424 · ExternalCitation · doi-reference
Internal reliability and antireliability in dynamical networks
10.1103/p5xz-rfv6 · ExternalCitation · doi-reference
Irreversibility and generalized noise
10.1103/physrev.83.34 · ExternalCitation · doi-reference
Oscillations and collective excitability in a model of stochastic neurons under excitatory and inhibitory coupling
10.1103/physreve.100.062416 · ExternalCitation · doi-reference
Violations of the fluctuation-dissipation theorem reveal distinct nonequilibrium dynamics of brain states
10.1103/physreve.108.064410 · ExternalCitation · doi-reference
Collective synchronization in spatially extended systems of coupled oscillators with random frequencies
10.1103/physreve.72.036217 · ExternalCitation · doi-reference
Extended finite-size scaling of synchronized coupled oscillators
10.1103/physreve.88.032126 · ExternalCitation · doi-reference
Critical dynamics on a large human open connectome network
10.1103/physreve.94.062411 · ExternalCitation · doi-reference
Synchronization in network geometries with finite spectral dimension
10.1103/physreve.99.022307 · ExternalCitation · doi-reference
Griffiths phases on complex networks
10.1103/physrevlett.105.128701 · ExternalCitation · doi-reference
Predicting criticality and dynamic range in complex networks: Effects of topology
10.1103/physrevlett.106.058101 · ExternalCitation · doi-reference
Networks with many structural scales: A renormalization group perspective
10.1103/physrevlett.134.057401 · ExternalCitation · doi-reference
Nonanalytic behavior above the critical point in a random ising ferromagnet
10.1103/physrevlett.23.17 · ExternalCitation · doi-reference
Self-organized criticality: An explanation of the 1/f noise
10.1103/physrevlett.59.381 · ExternalCitation · doi-reference
Universal properties of spectral dimension
10.1103/physrevlett.76.1091 · ExternalCitation · doi-reference
Fluctuation-dissipation theorems and entropy production in relaxational systems
10.1103/physrevlett.79.2168 · ExternalCitation · doi-reference
Chimera states for coupled oscillators
10.1103/physrevlett.93.174102 · ExternalCitation · doi-reference
Heterogeneous excitable systems exhibit griffiths phases below hybrid phase transitions
10.1103/physrevresearch.3.013106 · ExternalCitation · doi-reference
Differences in the critical dynamics underlying the human and fruit-fly connectome
10.1103/physrevresearch.4.023057 · ExternalCitation · doi-reference
Scale-free behavior of weight distributions of connectomes
10.1103/physrevresearch.7.013134 · ExternalCitation · doi-reference
Fluctuation-dissipation theorem and the discovery of distinctive off-equilibrium signatures of brain states
10.1103/physrevresearch.7.013301 · ExternalCitation · doi-reference
Universality classes in nonequilibrium lattice systems
10.1103/revmodphys.76.663 · ExternalCitation · doi-reference
The Kuramoto model: A simple paradigm for synchronization phenomena
10.1103/revmodphys.77.137 · ExternalCitation · doi-reference
Colloquium: Criticality and dynamical scaling in living systems
10.1103/revmodphys.90.031001 · ExternalCitation · doi-reference
An algorithm for path connections and its applications
10.1109/tec.1961.5219222 · ExternalCitation · doi-reference
Oscillator death in systems of coupled neural oscillators
10.1137/0150009 · ExternalCitation · doi-reference
Thick-restart lanczos method for large symmetric eigenvalue problems
10.1137/s0895479898334605 · ExternalCitation · doi-reference
Phase transitions in active rotator systems
10.1143/ptp.75.1105 · ExternalCitation · doi-reference
On the phase reduction and response dynamics of neural oscillator populations
10.1162/089976604322860668 · ExternalCitation · doi-reference
The human connectome: A structural description of the human brain
10.1371/journal.pcbi.0010042 · ExternalCitation · doi-reference
Generative models of cortical oscillations: Neurobiological implications of the kuramoto model
10.3389/fnhum.2010.00190 · ExternalCitation · doi-reference
Synchronization transitions on connectome graphs with external force
10.3389/fphy.2023.1150246 · ExternalCitation · doi-reference
Being critical of criticality in the brain
10.3389/fphys.2012.00163 · ExternalCitation · doi-reference
Frustrated synchronization of the kuramoto model on complex networks
10.3390/e26121074 · ExternalCitation · doi-reference
Metabolic brain disorders: Prodromes, symptoms, and syndromes
10.3390/ijms27125190 · ExternalCitation · doi-reference