A citation-based method for searching scientific literature

Edward Ott, Thomas M Antonsen. Chaos 2008
Times Cited: 341







List of co-cited articles
428 articles co-cited >1



Times Cited
  Times     Co-cited
Similarity


Long time evolution of phase oscillator systems.
Edward Ott, Thomas M Antonsen. Chaos 2009
182
43

Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
218
22


Chimera states for coupled oscillators.
Daniel M Abrams, Steven H Strogatz. Phys Rev Lett 2004
447
18



Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
66
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
24
66

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
97
15

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
28
53

Derivation of a neural field model from a network of theta neurons.
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2014
46
32


Integrability of a globally coupled oscillator array.
Watanabe, Strogatz. Phys Rev Lett 1993
92
15


Identical phase oscillators with global sinusoidal coupling evolve by Mobius group action.
Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
65
18


Explosive synchronization transitions in scale-free networks.
Jesús Gómez-Gardeñes, Sergio Gómez, Alex Arenas, Yamir Moreno. Phys Rev Lett 2011
168
11

Chaos in Kuramoto oscillator networks.
Christian Bick, Mark J Panaggio, Erik A Martens. Chaos 2018
17
64

Nonuniversal transitions to synchrony in the Sakaguchi-Kuramoto model.
Oleh E Omel'chenko, Matthias Wolfrum. Phys Rev Lett 2012
45
22


Emerging coherence in a population of chemical oscillators.
Istvan Z Kiss, Yumei Zhai, John L Hudson. Science 2002
205
10

Thermodynamic limit of the first-order phase transition in the Kuramoto model.
Diego Pazó. Phys Rev E Stat Nonlin Soft Matter Phys 2005
74
13

Existence of hysteresis in the Kuramoto model with bimodal frequency distributions.
Diego Pazó, Ernest Montbrió. Phys Rev E Stat Nonlin Soft Matter Phys 2009
34
29


Chimera states in two populations with heterogeneous phase-lag.
Erik A Martens, Christian Bick, Mark J Panaggio. Chaos 2016
20
45

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
50
18

Stability diagram for the forced Kuramoto model.
Lauren M Childs, Steven H Strogatz. Chaos 2008
77
11


Collective mode reductions for populations of coupled noisy oscillators.
Denis S Goldobin, Irina V Tyulkina, Lyudmila S Klimenko, Arkady Pikovsky. Chaos 2018
15
60


Chimera states in mechanical oscillator networks.
Erik Andreas Martens, Shashi Thutupalli, Antoine Fourrière, Oskar Hallatschek. Proc Natl Acad Sci U S A 2013
205
8

Solitary state at the edge of synchrony in ensembles with attractive and repulsive interactions.
Yuri Maistrenko, Bogdan Penkovsky, Michael Rosenblum. Phys Rev E Stat Nonlin Soft Matter Phys 2014
36
22


Generative models of cortical oscillations: neurobiological implications of the kuramoto model.
Michael Breakspear, Stewart Heitmann, Andreas Daffertshofer. Front Hum Neurosci 2010
173
8

Network mechanisms underlying the role of oscillations in cognitive tasks.
Helmut Schmidt, Daniele Avitabile, Ernest Montbrió, Alex Roxin. PLoS Comput Biol 2018
20
40


Synchronization scenarios in the Winfree model of coupled oscillators.
Rafael Gallego, Ernest Montbrió, Diego Pazó. Phys Rev E 2017
11
72

Synchrony-induced modes of oscillation of a neural field model.
Jose M Esnaola-Acebes, Alex Roxin, Daniele Avitabile, Ernest Montbrió. Phys Rev E 2017
10
70

Partially coherent twisted states in arrays of coupled phase oscillators.
Oleh E Omel'chenko, Matthias Wolfrum, Carlo R Laing. Chaos 2014
17
41

Macroscopic phase-resetting curves for spiking neural networks.
Grégory Dumont, G Bard Ermentrout, Boris Gutkin. Phys Rev E 2017
12
58

On the phase reduction and response dynamics of neural oscillator populations.
Eric Brown, Jeff Moehlis, Philip Holmes. Neural Comput 2004
183
7


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
10
70

Oscillators that sync and swarm.
Kevin P O'Keeffe, Hyunsuk Hong, Steven H Strogatz. Nat Commun 2017
37
18


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
43
13

The size of the sync basin.
Daniel A Wiley, Steven H Strogatz, Michelle Girvan. Chaos 2006
73
8

Modeling walker synchronization on the Millennium Bridge.
Bruno Eckhardt, Edward Ott, Steven H Strogatz, Daniel M Abrams, Allan McRobie. Phys Rev E Stat Nonlin Soft Matter Phys 2007
42
14

Neuronal oscillations in cortical networks.
György Buzsáki, Andreas Draguhn. Science 2004
6

Large coupled oscillator systems with heterogeneous interaction delays.
Wai Shing Lee, Edward Ott, Thomas M Antonsen. Phys Rev Lett 2009
47
12


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.