A T Winfree. J Theor Biol 1967
Times Cited: 618
Times Cited: 618
Times Cited
Times Co-cited
Similarity
Low dimensional behavior of large systems of globally coupled oscillators.
Edward Ott, Thomas M Antonsen. Chaos 2008
Edward Ott, Thomas M Antonsen. Chaos 2008
23
15
Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
18
10
Partially integrable dynamics of hierarchical populations of coupled oscillators.
Arkady Pikovsky, Michael Rosenblum. Phys Rev Lett 2008
Arkady Pikovsky, Michael Rosenblum. Phys Rev Lett 2008
9
Synchronization transitions in a disordered Josephson series array.
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
8
Generative models of cortical oscillations: neurobiological implications of the kuramoto model.
Michael Breakspear, Stewart Heitmann, Andreas Daffertshofer. Front Hum Neurosci 2010
Michael Breakspear, Stewart Heitmann, Andreas Daffertshofer. Front Hum Neurosci 2010
8
Emerging coherence in a population of chemical oscillators.
Istvan Z Kiss, Yumei Zhai, John L Hudson. Science 2002
Istvan Z Kiss, Yumei Zhai, John L Hudson. Science 2002
8
Phase reduction and phase-based optimal control for biological systems: a tutorial.
Bharat Monga, Dan Wilson, Tim Matchen, Jeff Moehlis. Biol Cybern 2019
Bharat Monga, Dan Wilson, Tim Matchen, Jeff Moehlis. Biol Cybern 2019
22
Phase diagram for the Winfree model of coupled nonlinear oscillators.
J T Ariaratnam, S H Strogatz. Phys Rev Lett 2001
J T Ariaratnam, S H Strogatz. Phys Rev Lett 2001
17
Exotic states in a simple network of nanoelectromechanical oscillators.
Matthew H Matheny, Jeffrey Emenheiser, Warren Fon, Airlie Chapman, Anastasiya Salova, Martin Rohden, Jarvis Li, Mathias Hudoba de Badyn, Márton Pósfai, Leonardo Duenas-Osorio,[...]. Science 2019
Matthew H Matheny, Jeffrey Emenheiser, Warren Fon, Airlie Chapman, Anastasiya Salova, Martin Rohden, Jarvis Li, Mathias Hudoba de Badyn, Márton Pósfai, Leonardo Duenas-Osorio,[...]. Science 2019
25
On the phase reduction and response dynamics of neural oscillator populations.
Eric Brown, Jeff Moehlis, Philip Holmes. Neural Comput 2004
Eric Brown, Jeff Moehlis, Philip Holmes. Neural Comput 2004
6
Spontaneous synchronization of coupled circadian oscillators.
Didier Gonze, Samuel Bernard, Christian Waltermann, Achim Kramer, Hanspeter Herzel. Biophys J 2005
Didier Gonze, Samuel Bernard, Christian Waltermann, Achim Kramer, Hanspeter Herzel. Biophys J 2005
6
A quantitative description of membrane current and its application to conduction and excitation in nerve.
A L HODGKIN, A F HUXLEY. J Physiol 1952
A L HODGKIN, A F HUXLEY. J Physiol 1952
6
Identical phase oscillators with global sinusoidal coupling evolve by Mobius group action.
Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
8
Exact results for the Kuramoto model with a bimodal frequency distribution.
E A Martens, E Barreto, S H Strogatz, E Ott, P So, T M Antonsen. Phys Rev E Stat Nonlin Soft Matter Phys 2009
E A Martens, E Barreto, S H Strogatz, E Ott, P So, T M Antonsen. Phys Rev E Stat Nonlin Soft Matter Phys 2009
6
Complete classification of the macroscopic behavior of a heterogeneous network of theta neurons.
Tanushree B Luke, Ernest Barreto, Paul So. Neural Comput 2013
Tanushree B Luke, Ernest Barreto, Paul So. Neural Comput 2013
9
Synchronization scenarios in the Winfree model of coupled oscillators.
Rafael Gallego, Ernest Montbrió, Diego Pazó. Phys Rev E 2017
Rafael Gallego, Ernest Montbrió, Diego Pazó. Phys Rev E 2017
50
Kuramoto model of coupled oscillators with positive and negative coupling parameters: an example of conformist and contrarian oscillators.
Hyunsuk Hong, Steven H Strogatz. Phys Rev Lett 2011
Hyunsuk Hong, Steven H Strogatz. Phys Rev Lett 2011
6
A synchronized quorum of genetic clocks.
Tal Danino, Octavio Mondragón-Palomino, Lev Tsimring, Jeff Hasty. Nature 2010
Tal Danino, Octavio Mondragón-Palomino, Lev Tsimring, Jeff Hasty. Nature 2010
6
Effective desynchronization by nonlinear delayed feedback.
Oleksandr V Popovych, Christian Hauptmann, Peter A Tass. Phys Rev Lett 2005
Oleksandr V Popovych, Christian Hauptmann, Peter A Tass. Phys Rev Lett 2005
6
Delayed feedback control of collective synchrony: an approach to suppression of pathological brain rhythms.
Michael Rosenblum, Arkady Pikovsky. Phys Rev E Stat Nonlin Soft Matter Phys 2004
Michael Rosenblum, Arkady Pikovsky. Phys Rev E Stat Nonlin Soft Matter Phys 2004
6
High frequency stimulation of the subthalamic nucleus eliminates pathological thalamic rhythmicity in a computational model.
Jonathan E Rubin, David Terman. J Comput Neurosci 2004
Jonathan E Rubin, David Terman. J Comput Neurosci 2004
5
Long-term suppression of tremor by chronic stimulation of the ventral intermediate thalamic nucleus.
A L Benabid, P Pollak, C Gervason, D Hoffmann, D M Gao, M Hommel, J E Perret, J de Rougemont. Lancet 1991
A L Benabid, P Pollak, C Gervason, D Hoffmann, D M Gao, M Hommel, J E Perret, J de Rougemont. Lancet 1991
5
Phasic Burst Stimulation: A Closed-Loop Approach to Tuning Deep Brain Stimulation Parameters for Parkinson's Disease.
Abbey B Holt, Dan Wilson, Max Shinn, Jeff Moehlis, Theoden I Netoff. PLoS Comput Biol 2016
Abbey B Holt, Dan Wilson, Max Shinn, Jeff Moehlis, Theoden I Netoff. PLoS Comput Biol 2016
11
Greater accuracy and broadened applicability of phase reduction using isostable coordinates.
Dan Wilson, Bard Ermentrout. J Math Biol 2018
Dan Wilson, Bard Ermentrout. J Math Biol 2018
19
6
Derivation of a neural field model from a network of theta neurons.
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2014
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2014
10
Pathological synchronization in Parkinson's disease: networks, models and treatments.
Constance Hammond, Hagai Bergman, Peter Brown. Trends Neurosci 2007
Constance Hammond, Hagai Bergman, Peter Brown. Trends Neurosci 2007
5
Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
5
A mechanism for cognitive dynamics: neuronal communication through neuronal coherence.
Pascal Fries. Trends Cogn Sci 2005
Pascal Fries. Trends Cogn Sci 2005
5
Neurophysiological and computational principles of cortical rhythms in cognition.
Xiao-Jing Wang. Physiol Rev 2010
Xiao-Jing Wang. Physiol Rev 2010
5
Phase reduction beyond the first order: The case of the mean-field complex Ginzburg-Landau equation.
Iván León, Diego Pazó. Phys Rev E 2019
Iván León, Diego Pazó. Phys Rev E 2019
41
9
Thermodynamic limit of the first-order phase transition in the Kuramoto model.
Diego Pazó. Phys Rev E Stat Nonlin Soft Matter Phys 2005
Diego Pazó. Phys Rev E Stat Nonlin Soft Matter Phys 2005
6
Kuramoto Model for Excitation-Inhibition-Based Oscillations.
Ernest Montbrió, Diego Pazó. Phys Rev Lett 2018
Ernest Montbrió, Diego Pazó. Phys Rev Lett 2018
45
Mechanisms of sinoatrial pacemaker synchronization: a new hypothesis.
D C Michaels, E P Matyas, J Jalife. Circ Res 1987
D C Michaels, E P Matyas, J Jalife. Circ Res 1987
5
Pulsatile desynchronizing delayed feedback for closed-loop deep brain stimulation.
Oleksandr V Popovych, Borys Lysyansky, Michael Rosenblum, Arkady Pikovsky, Peter A Tass. PLoS One 2017
Oleksandr V Popovych, Borys Lysyansky, Michael Rosenblum, Arkady Pikovsky, Peter A Tass. PLoS One 2017
17
Controlling synchronization in an ensemble of globally coupled oscillators.
Michael G Rosenblum, Arkady S Pikovsky. Phys Rev Lett 2004
Michael G Rosenblum, Arkady S Pikovsky. Phys Rev Lett 2004
5
Impulses and Physiological States in Theoretical Models of Nerve Membrane.
R Fitzhugh. Biophys J 1961
R Fitzhugh. Biophys J 1961
5
Phase-amplitude descriptions of neural oscillator models.
Kyle Ca Wedgwood, Kevin K Lin, Ruediger Thul, Stephen Coombes. J Math Neurosci 2013
Kyle Ca Wedgwood, Kevin K Lin, Ruediger Thul, Stephen Coombes. J Math Neurosci 2013
17
A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations.
Peter A Tass. Biol Cybern 2003
Peter A Tass. Biol Cybern 2003
4
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