A citation-based method for searching scientific literature

Maxim Komarov, Arkady Pikovsky. Phys Rev E Stat Nonlin Soft Matter Phys 2011
Times Cited: 14







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



Times Cited
  Times     Co-cited
Similarity




Long time evolution of phase oscillator systems.
Edward Ott, Thomas M Antonsen. Chaos 2009
193
71

Dynamics of multifrequency oscillator communities.
Maxim Komarov, Arkady Pikovsky. Phys Rev Lett 2013
15
64

Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
232
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
104
42




Bistable chimera attractors on a triangular network of oscillator populations.
Erik A Martens. Phys Rev E Stat Nonlin Soft Matter Phys 2010
43
35


Chimera states for coupled oscillators.
Daniel M Abrams, Steven H Strogatz. Phys Rev Lett 2004
477
35


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
28

Clustering and slow switching in globally coupled phase oscillators.
Hansel, Mato, Meunier. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1993
107
28

Emerging coherence in a population of chemical oscillators.
Istvan Z Kiss, Yumei Zhai, John L Hudson. Science 2002
212
28

Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
73
28

Identical phase oscillators with global sinusoidal coupling evolve by Mobius group action.
Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
68
28


Stability diagram for the forced Kuramoto model.
Lauren M Childs, Steven H Strogatz. Chaos 2008
77
21

Averaged equations for Josephson junction series arrays.
Wiesenfeld, Swift. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1995
42
21

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
44
21

Physics of the rhythmic applause.
Z Néda, E Ravasz, T Vicsek, Y Brechet, A L Barabási. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 2000
81
21


Generative models of cortical oscillations: neurobiological implications of the kuramoto model.
Michael Breakspear, Stewart Heitmann, Andreas Daffertshofer. Front Hum Neurosci 2010
187
21

Chimera states in mechanical oscillator networks.
Erik Andreas Martens, Shashi Thutupalli, Antoine Fourrière, Oskar Hallatschek. Proc Natl Acad Sci U S A 2013
215
21

Integrability of a globally coupled oscillator array.
Watanabe, Strogatz. Phys Rev Lett 1993
95
21

Large coupled oscillator systems with heterogeneous interaction delays.
Wai Shing Lee, Edward Ott, Thomas M Antonsen. Phys Rev Lett 2009
48
21



Synchronization of two interacting populations of oscillators.
Ernest Montbrió, Jürgen Kurths, Bernd Blasius. Phys Rev E Stat Nonlin Soft Matter Phys 2004
94
21

Ott-Antonsen attractiveness for parameter-dependent oscillatory systems.
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
17
21


Phase synchronization between collective rhythms of globally coupled oscillator groups: noiseless nonidentical case.
Yoji Kawamura, Hiroya Nakao, Kensuke Arai, Hiroshi Kori, Yoshiki Kuramoto. Chaos 2010
24
14

Noise-induced synchronization of a large population of globally coupled nonidentical oscillators.
Ken H Nagai, Hiroshi Kori. Phys Rev E Stat Nonlin Soft Matter Phys 2010
29
14

Existence of hysteresis in the Kuramoto model with bimodal frequency distributions.
Diego Pazó, Ernest Montbrió. Phys Rev E Stat Nonlin Soft Matter Phys 2009
36
14

Multiscale dynamics in communities of phase oscillators.
Dustin Anderson, Ari Tenzer, Gilad Barlev, Michelle Girvan, Thomas M Antonsen, Edward Ott. Chaos 2012
16
14

Generalized coupling in the Kuramoto model.
G Filatrella, N F Pedersen, K Wiesenfeld. Phys Rev E Stat Nonlin Soft Matter Phys 2007
24
14

Self-emerging and turbulent chimeras in oscillator chains.
Grigory Bordyugov, Arkady Pikovsky, Michael Rosenblum. Phys Rev E Stat Nonlin Soft Matter Phys 2010
55
14



Nonuniversal transitions to synchrony in the Sakaguchi-Kuramoto model.
Oleh E Omel'chenko, Matthias Wolfrum. Phys Rev Lett 2012
47
14


Synchronization transitions in a disordered Josephson series array.
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
205
14

A mathematical model of dysfunction of the thalamo-cortical loop in schizophrenia.
Nils Rosjat, Svitlana Popovych, Silvia Daun-Gruhn. Theor Biol Med Model 2014
4
50

Chimera states: the existence criteria revisited.
Gautam C Sethia, Abhijit Sen. Phys Rev Lett 2014
109
14

Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling.
Lennart Schmidt, Konrad Schönleber, Katharina Krischer, Vladimir García-Morales. Chaos 2014
111
14

Effective desynchronization by nonlinear delayed feedback.
Oleksandr V Popovych, Christian Hauptmann, Peter A Tass. Phys Rev Lett 2005
131
14

Theoretical mechanics: crowd synchrony on the Millennium Bridge.
Steven H Strogatz, Daniel M Abrams, Allan McRobie, Bruno Eckhardt, Edward Ott. Nature 2005
133
14

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
40
14


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.