A citation-based method for searching scientific literature

Edward Ott, Thomas M Antonsen. Chaos 2008
Times Cited: 316







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



Times Cited
  Times     Co-cited
Similarity


Long time evolution of phase oscillator systems.
Edward Ott, Thomas M Antonsen. Chaos 2009
173
46

Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
212
25


Chimera states for coupled oscillators.
Daniel M Abrams, Steven H Strogatz. Phys Rev Lett 2004
424
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
96
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
44
43


Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
61
29

Identical phase oscillators with global sinusoidal coupling evolve by Mobius group action.
Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
61
24



Integrability of a globally coupled oscillator array.
Watanabe, Strogatz. Phys Rev Lett 1993
88
14

Emerging coherence in a population of chemical oscillators.
Istvan Z Kiss, Yumei Zhai, John L Hudson. Science 2002
197
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
17
76

Chimera states in mechanical oscillator networks.
Erik Andreas Martens, Shashi Thutupalli, Antoine Fourrière, Oskar Hallatschek. Proc Natl Acad Sci U S A 2013
198
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
32
34


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
21
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
41
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
47
21

Nonuniversal transitions to synchrony in the Sakaguchi-Kuramoto model.
Oleh E Omel'chenko, Matthias Wolfrum. Phys Rev Lett 2012
42
23

Chaos in Kuramoto oscillator networks.
Christian Bick, Mark J Panaggio, Erik A Martens. Chaos 2018
14
71

On the phase reduction and response dynamics of neural oscillator populations.
Eric Brown, Jeff Moehlis, Philip Holmes. Neural Comput 2004
178
9

Synchronization of two interacting populations of oscillators.
Ernest Montbrió, Jürgen Kurths, Bernd Blasius. Phys Rev E Stat Nonlin Soft Matter Phys 2004
88
10

Chimera states in two populations with heterogeneous phase-lag.
Erik A Martens, Christian Bick, Mark J Panaggio. Chaos 2016
19
47


Collective mode reductions for populations of coupled noisy oscillators.
Denis S Goldobin, Irina V Tyulkina, Lyudmila S Klimenko, Arkady Pikovsky. Chaos 2018
13
69

Stability diagram for the forced Kuramoto model.
Lauren M Childs, Steven H Strogatz. Chaos 2008
73
10

Chimera states are chaotic transients.
Matthias Wolfrum, Oleh E Omel'chenko. Phys Rev E Stat Nonlin Soft Matter Phys 2011
101
8

Generative models of cortical oscillations: neurobiological implications of the kuramoto model.
Michael Breakspear, Stewart Heitmann, Andreas Daffertshofer. Front Hum Neurosci 2010
165
8


Thermodynamic limit of the first-order phase transition in the Kuramoto model.
Diego Pazó. Phys Rev E Stat Nonlin Soft Matter Phys 2005
69
11

Explosive synchronization transitions in scale-free networks.
Jesús Gómez-Gardeñes, Sergio Gómez, Alex Arenas, Yamir Moreno. Phys Rev Lett 2011
160
8



Network mechanisms underlying the role of oscillations in cognitive tasks.
Helmut Schmidt, Daniele Avitabile, Ernest Montbrió, Alex Roxin. PLoS Comput Biol 2018
18
44


Macroscopic phase-resetting curves for spiking neural networks.
Grégory Dumont, G Bard Ermentrout, Boris Gutkin. Phys Rev E 2017
10
70

Loss of coherence in dynamical networks: spatial chaos and chimera states.
Iryna Omelchenko, Yuri Maistrenko, Philipp Hövel, Eckehard Schöll. Phys Rev Lett 2011
120
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
30
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
122
7

Solvable model of spiral wave chimeras.
Erik A Martens, Carlo R Laing, Steven H Strogatz. Phys Rev Lett 2010
102
7

Macroscopic complexity from an autonomous network of networks of theta neurons.
Tanushree B Luke, Ernest Barreto, Paul So. Front Comput Neurosci 2014
14
50

Ott-Antonsen attractiveness for parameter-dependent oscillatory systems.
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
14
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
9
77





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.