Edward Ott, Thomas M Antonsen. Chaos 2008
Times Cited: 369
Times Cited: 369
Times Cited
Times Co-cited
Similarity
41
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
25
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
24
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
34
Biological rhythms and the behavior of populations of coupled oscillators.
A T Winfree. J Theor Biol 1967
A T Winfree. J Theor Biol 1967
20
19
Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
24
Dynamics of Noisy Oscillator Populations beyond the Ott-Antonsen Ansatz.
Irina V Tyulkina, Denis S Goldobin, Lyudmila S Klimenko, Arkady Pikovsky. Phys Rev Lett 2018
Irina V Tyulkina, Denis S Goldobin, Lyudmila S Klimenko, Arkady Pikovsky. Phys Rev Lett 2018
64
Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review.
Christian Bick, Marc Goodfellow, Carlo R Laing, Erik A Martens. J Math Neurosci 2020
Christian Bick, Marc Goodfellow, Carlo R Laing, Erik A Martens. J Math Neurosci 2020
50
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
17
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
30
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
20
Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks.
Federico Devalle, Alex Roxin, Ernest Montbrió. PLoS Comput Biol 2017
Federico Devalle, Alex Roxin, Ernest Montbrió. PLoS Comput Biol 2017
46
13
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
14
Nonuniversal transitions to synchrony in the Sakaguchi-Kuramoto model.
Oleh E Omel'chenko, Matthias Wolfrum. Phys Rev Lett 2012
Oleh E Omel'chenko, Matthias Wolfrum. Phys Rev Lett 2012
21
Noise-induced macroscopic oscillations in a network of synaptically coupled quadratic integrate-and-fire neurons.
Irmantas Ratas, Kestutis Pyragas. Phys Rev E 2019
Irmantas Ratas, Kestutis Pyragas. Phys Rev E 2019
90
Chimera states in two populations with heterogeneous phase-lag.
Erik A Martens, Christian Bick, Mark J Panaggio. Chaos 2016
Erik A Martens, Christian Bick, Mark J Panaggio. Chaos 2016
41
Transition from Asynchronous to Oscillatory Dynamics in Balanced Spiking Networks with Instantaneous Synapses.
Matteo di Volo, Alessandro Torcini. Phys Rev Lett 2018
Matteo di Volo, Alessandro Torcini. Phys Rev Lett 2018
52
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
10
Excitatory and inhibitory interactions in localized populations of model neurons.
H R Wilson, J D Cowan. Biophys J 1972
H R Wilson, J D Cowan. Biophys J 1972
10
Explosive synchronization transitions in scale-free networks.
Jesús Gómez-Gardeñes, Sergio Gómez, Alex Arenas, Yamir Moreno. Phys Rev Lett 2011
Jesús Gómez-Gardeñes, Sergio Gómez, Alex Arenas, Yamir Moreno. Phys Rev Lett 2011
9
Exact firing rate model reveals the differential effects of chemical versus electrical synapses in spiking networks.
Bastian Pietras, Federico Devalle, Alex Roxin, Andreas Daffertshofer, Ernest Montbrió. Phys Rev E 2019
Bastian Pietras, Federico Devalle, Alex Roxin, Andreas Daffertshofer, Ernest Montbrió. Phys Rev E 2019
69
Chimera states in networks of phase oscillators: The case of two small populations.
Mark J Panaggio, Daniel M Abrams, Peter Ashwin, Carlo R Laing. Phys Rev E 2016
Mark J Panaggio, Daniel M Abrams, Peter Ashwin, Carlo R Laing. Phys Rev E 2016
19
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
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
75
Stationary and traveling wave states of the Kuramoto model with an arbitrary distribution of frequencies and coupling strengths.
D Iatsenko, S Petkoski, P V E McClintock, A Stefanovska. Phys Rev Lett 2013
D Iatsenko, S Petkoski, P V E McClintock, A Stefanovska. Phys Rev Lett 2013
26
Chimera states in mechanical oscillator networks.
Erik Andreas Martens, Shashi Thutupalli, Antoine Fourrière, Oskar Hallatschek. Proc Natl Acad Sci U S A 2013
Erik Andreas Martens, Shashi Thutupalli, Antoine Fourrière, Oskar Hallatschek. Proc Natl Acad Sci U S A 2013
9
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
9
A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue.
H R Wilson, J D Cowan. Kybernetik 1973
H R Wilson, J D Cowan. Kybernetik 1973
8
Ott-Antonsen attractiveness for parameter-dependent oscillatory systems.
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
47
Collective mode reductions for populations of coupled noisy oscillators.
Denis S Goldobin, Irina V Tyulkina, Lyudmila S Klimenko, Arkady Pikovsky. Chaos 2018
Denis S Goldobin, Irina V Tyulkina, Lyudmila S Klimenko, Arkady Pikovsky. Chaos 2018
53
44
Existence of hysteresis in the Kuramoto model with bimodal frequency distributions.
Diego Pazó, Ernest Montbrió. Phys Rev E Stat Nonlin Soft Matter Phys 2009
Diego Pazó, Ernest Montbrió. Phys Rev E Stat Nonlin Soft Matter Phys 2009
22
Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplexes.
Per Sebastian Skardal, Alex Arenas. Phys Rev Lett 2019
Per Sebastian Skardal, Alex Arenas. Phys Rev Lett 2019
21
Neurophysiological and computational principles of cortical rhythms in cognition.
Xiao-Jing Wang. Physiol Rev 2010
Xiao-Jing Wang. Physiol Rev 2010
8
Glassy states and super-relaxation in populations of coupled phase oscillators.
D Iatsenko, P V E McClintock, A Stefanovska. Nat Commun 2014
D Iatsenko, P V E McClintock, A Stefanovska. Nat Commun 2014
29
From Quasiperiodic Partial Synchronization to Collective Chaos in Populations of Inhibitory Neurons with Delay.
Diego Pazó, Ernest Montbrió. Phys Rev Lett 2016
Diego Pazó, Ernest Montbrió. Phys Rev Lett 2016
32
Dynamics and stability of chimera states in two coupled populations of oscillators.
Carlo R Laing. Phys Rev E 2019
Carlo R Laing. Phys Rev E 2019
88
Synchrony-induced modes of oscillation of a neural field model.
Jose M Esnaola-Acebes, Alex Roxin, Daniele Avitabile, Ernest Montbrió. Phys Rev E 2017
Jose M Esnaola-Acebes, Alex Roxin, Daniele Avitabile, Ernest Montbrió. Phys Rev E 2017
53
Conformists and contrarians in a Kuramoto model with identical natural frequencies.
Hyunsuk Hong, Steven H Strogatz. Phys Rev E Stat Nonlin Soft Matter Phys 2011
Hyunsuk Hong, Steven H Strogatz. Phys Rev E Stat Nonlin Soft Matter Phys 2011
12
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
Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons.
N Brunel. J Comput Neurosci 2000
N Brunel. J Comput Neurosci 2000
7
13
9
Chimera states are chaotic transients.
Matthias Wolfrum, Oleh E Omel'chenko. Phys Rev E Stat Nonlin Soft Matter Phys 2011
Matthias Wolfrum, Oleh E Omel'chenko. Phys Rev E Stat Nonlin Soft Matter Phys 2011
7
Rotating spiral waves with phase-randomized core in nonlocally coupled oscillators.
Shin-ichiro Shima, Yoshiki Kuramoto. Phys Rev E Stat Nonlin Soft Matter Phys 2004
Shin-ichiro Shima, Yoshiki Kuramoto. Phys Rev E Stat Nonlin Soft Matter Phys 2004
7
Co-cited is the co-citation frequency, indicating how many articles cite the article together with the query article. Similarity is the co-citation as percentage of the times cited of the query article or the article in the search results, whichever is the lowest. These numbers are calculated for the last 100 citations when articles are cited more than 100 times.