Edward Ott, Thomas M Antonsen. Chaos 2008
Times Cited: 316
Times Cited: 316
Times Cited
Times Co-cited
Similarity
46
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
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
42
22
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
21
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
43
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
19
Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
29
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
24
Biological rhythms and the behavior of populations of coupled oscillators.
A T Winfree. J Theor Biol 1967
A T Winfree. J Theor Biol 1967
14
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
14
14
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
13
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
13
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
76
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
12
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
34
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
52
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
52
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
24
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
21
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
23
71
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
9
Synchronization of two interacting populations of oscillators.
Ernest Montbrió, Jürgen Kurths, Bernd Blasius. Phys Rev E Stat Nonlin Soft Matter Phys 2004
Ernest Montbrió, Jürgen Kurths, Bernd Blasius. Phys Rev E Stat Nonlin Soft Matter Phys 2004
10
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
47
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
45
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
69
10
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
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
Synchronization in networks of networks: the onset of coherent collective behavior in systems of interacting populations of heterogeneous oscillators.
Ernest Barreto, Brian Hunt, Edward Ott, Paul So. Phys Rev E Stat Nonlin Soft Matter Phys 2008
Ernest Barreto, Brian Hunt, Edward Ott, Paul So. Phys Rev E Stat Nonlin Soft Matter Phys 2008
12
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
11
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
8
Macroscopic self-oscillations and aging transition in a network of synaptically coupled quadratic integrate-and-fire neurons.
Irmantas Ratas, Kestutis Pyragas. Phys Rev E 2016
Irmantas Ratas, Kestutis Pyragas. Phys Rev E 2016
50
Comment on "Long time evolution of phase oscillator systems" [Chaos 19, 023117 (2009)].
Edward Ott, Brian R Hunt, Thomas M Antonsen. Chaos 2011
Edward Ott, Brian R Hunt, Thomas M Antonsen. Chaos 2011
21
Network mechanisms underlying the role of oscillations in cognitive tasks.
Helmut Schmidt, Daniele Avitabile, Ernest Montbrió, Alex Roxin. PLoS Comput Biol 2018
Helmut Schmidt, Daniele Avitabile, Ernest Montbrió, Alex Roxin. PLoS Comput Biol 2018
44
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
61
Macroscopic phase-resetting curves for spiking neural networks.
Grégory Dumont, G Bard Ermentrout, Boris Gutkin. Phys Rev E 2017
Grégory Dumont, G Bard Ermentrout, Boris Gutkin. Phys Rev E 2017
70
Loss of coherence in dynamical networks: spatial chaos and chimera states.
Iryna Omelchenko, Yuri Maistrenko, Philipp Hövel, Eckehard Schöll. Phys Rev Lett 2011
Iryna Omelchenko, Yuri Maistrenko, Philipp Hövel, Eckehard Schöll. Phys Rev Lett 2011
7
Multicluster and traveling chimera states in nonlocal phase-coupled oscillators.
Jianbo Xie, Edgar Knobloch, Hsien-Ching Kao. Phys Rev E Stat Nonlin Soft Matter Phys 2014
Jianbo Xie, Edgar Knobloch, Hsien-Ching Kao. Phys Rev E Stat Nonlin Soft Matter Phys 2014
23
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
Solvable model of spiral wave chimeras.
Erik A Martens, Carlo R Laing, Steven H Strogatz. Phys Rev Lett 2010
Erik A Martens, Carlo R Laing, Steven H Strogatz. Phys Rev Lett 2010
7
Macroscopic complexity from an autonomous network of networks of theta neurons.
Tanushree B Luke, Ernest Barreto, Paul So. Front Comput Neurosci 2014
Tanushree B Luke, Ernest Barreto, Paul So. Front Comput Neurosci 2014
50
Ott-Antonsen attractiveness for parameter-dependent oscillatory systems.
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
50
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
77
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
25
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
36
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.