A citation-based method for searching scientific literature

Arkady Pikovsky, Michael Rosenblum. Chaos 2015
Times Cited: 68







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



Times Cited
  Times     Co-cited
Similarity




Long time evolution of phase oscillator systems.
Edward Ott, Thomas M Antonsen. Chaos 2009
186
26

Generative models of cortical oscillations: neurobiological implications of the kuramoto model.
Michael Breakspear, Stewart Heitmann, Andreas Daffertshofer. Front Hum Neurosci 2010
174
20

Identical phase oscillators with global sinusoidal coupling evolve by Mobius group action.
Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
67
20


Integrability of a globally coupled oscillator array.
Watanabe, Strogatz. Phys Rev Lett 1993
93
19


Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
223
14

Synchronization transitions in a disordered Josephson series array.
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
203
13

Chimera states for coupled oscillators.
Daniel M Abrams, Steven H Strogatz. Phys Rev Lett 2004
463
13

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
98
13

Nonuniversal transitions to synchrony in the Sakaguchi-Kuramoto model.
Oleh E Omel'chenko, Matthias Wolfrum. Phys Rev Lett 2012
45
17



Emerging coherence in a population of chemical oscillators.
Istvan Z Kiss, Yumei Zhai, John L Hudson. Science 2002
209
10

Experiments on oscillator ensembles with global nonlinear coupling.
Amirkhan A Temirbayev, Zeinulla Zh Zhanabaev, Stanislav B Tarasov, Vladimir I Ponomarenko, Michael Rosenblum. Phys Rev E Stat Nonlin Soft Matter Phys 2012
33
21


Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience.
Peter Ashwin, Stephen Coombes, Rachel Nicks. J Math Neurosci 2016
66
10

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
51
13

Synchronization of two interacting populations of oscillators.
Ernest Montbrió, Jürgen Kurths, Bernd Blasius. Phys Rev E Stat Nonlin Soft Matter Phys 2004
92
10

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
37
18

Clustering and slow switching in globally coupled phase oscillators.
Hansel, Mato, Meunier. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1993
105
8

Synchronization of oscillators in a Kuramoto-type model with generic coupling.
Vladimir Vlasov, Elbert E N Macau, Arkady Pikovsky. Chaos 2014
12
50

Partial synchronization in populations of pulse-coupled oscillators.
Vreeswijk. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1996
129
8


Thermodynamic limit of the first-order phase transition in the Kuramoto model.
Diego Pazó. Phys Rev E Stat Nonlin Soft Matter Phys 2005
74
8



Explosive synchronization transitions in scale-free networks.
Jesús Gómez-Gardeñes, Sergio Gómez, Alex Arenas, Yamir Moreno. Phys Rev Lett 2011
174
8



Glassy states and super-relaxation in populations of coupled phase oscillators.
D Iatsenko, P V E McClintock, A Stefanovska. Nat Commun 2014
25
24

Role of local network oscillations in resting-state functional connectivity.
Joana Cabral, Etienne Hugues, Olaf Sporns, Gustavo Deco. Neuroimage 2011
247
8

Mean-field behavior in coupled oscillators with attractive and repulsive interactions.
Hyunsuk Hong, Steven H Strogatz. Phys Rev E Stat Nonlin Soft Matter Phys 2012
31
19

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
26
23

Chaos in Kuramoto oscillator networks.
Christian Bick, Mark J Panaggio, Erik A Martens. Chaos 2018
17
35

Chimera states: the existence criteria revisited.
Gautam C Sethia, Abhijit Sen. Phys Rev Lett 2014
106
7


Derivation of a neural field model from a network of theta neurons.
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2014
48
10

Coupled oscillators and biological synchronization.
S H Strogatz, I Stewart. Sci Am 1993
208
7

On the phase reduction and response dynamics of neural oscillator populations.
Eric Brown, Jeff Moehlis, Philip Holmes. Neural Comput 2004
185
7

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
14

The size of the sync basin.
Daniel A Wiley, Steven H Strogatz, Michelle Girvan. Chaos 2006
79
7

Noise-controlled oscillations and their bifurcations in coupled phase oscillators.
M A Zaks, A B Neiman, S Feistel, L Schimansky-Geier. Phys Rev E Stat Nonlin Soft Matter Phys 2003
34
14



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
18
27

Dynamics of multifrequency oscillator communities.
Maxim Komarov, Arkady Pikovsky. Phys Rev Lett 2013
15
26

Effects of nonresonant interaction in ensembles of phase oscillators.
Maxim Komarov, Arkady Pikovsky. Phys Rev E Stat Nonlin Soft Matter Phys 2011
14
28


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.