A citation-based method for searching scientific literature

Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
Times Cited: 68







List of co-cited articles
282 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
60

Integrability of a globally coupled oscillator array.
Watanabe, Strogatz. Phys Rev Lett 1993
95
38

Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
232
36

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
33

Invariant submanifold for series arrays of Josephson junctions.
Seth A Marvel, Steven H Strogatz. Chaos 2009
40
40

Stability diagram for the forced Kuramoto model.
Lauren M Childs, Steven H Strogatz. Chaos 2008
77
22

Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
73
20

Chimera states for coupled oscillators.
Daniel M Abrams, Steven H Strogatz. Phys Rev Lett 2004
477
19




Generative models of cortical oscillations: neurobiological implications of the kuramoto model.
Michael Breakspear, Stewart Heitmann, Andreas Daffertshofer. Front Hum Neurosci 2010
187
16

Derivation of a neural field model from a network of theta neurons.
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2014
50
22

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
54
18


Clustering and slow switching in globally coupled phase oscillators.
Hansel, Mato, Meunier. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1993
107
13


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
22

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
28
32

Large coupled oscillator systems with heterogeneous interaction delays.
Wai Shing Lee, Edward Ott, Thomas M Antonsen. Phys Rev Lett 2009
48
16

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
22


Chimera states in mechanical oscillator networks.
Erik Andreas Martens, Shashi Thutupalli, Antoine Fourrière, Oskar Hallatschek. Proc Natl Acad Sci U S A 2013
215
11


Synchronization of two interacting populations of oscillators.
Ernest Montbrió, Jürgen Kurths, Bernd Blasius. Phys Rev E Stat Nonlin Soft Matter Phys 2004
94
10

Thermodynamic limit of the first-order phase transition in the Kuramoto model.
Diego Pazó. Phys Rev E Stat Nonlin Soft Matter Phys 2005
76
10

Emerging coherence in a population of chemical oscillators.
Istvan Z Kiss, Yumei Zhai, John L Hudson. Science 2002
212
10

Synchronization transitions in a disordered Josephson series array.
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
205
10

Clustering in globally coupled phase oscillators.
Golomb, Hansel, Shraiman, Sompolinsky. Phys Rev A 1992
118
10


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

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
22

Chimera states in two populations with heterogeneous phase-lag.
Erik A Martens, Christian Bick, Mark J Panaggio. Chaos 2016
24
29

Ott-Antonsen attractiveness for parameter-dependent oscillatory systems.
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
17
41



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
17

Cluster synchrony in systems of coupled phase oscillators with higher-order coupling.
Per Sebastian Skardal, Edward Ott, Juan G Restrepo. Phys Rev E Stat Nonlin Soft Matter Phys 2011
35
17

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
34
17

Chimera states: the natural link between coherence and incoherence.
Oleh E Omel'chenko, Yuri L Maistrenko, Peter A Tass. Phys Rev Lett 2008
81
7

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
17

The sound of many hands clapping.
Z Néda, E Ravasz, Y Brechet, T Vicsek, A L Barabási. Nature 2000
211
7



Explosive synchronization transitions in scale-free networks.
Jesús Gómez-Gardeñes, Sergio Gómez, Alex Arenas, Yamir Moreno. Phys Rev Lett 2011
180
7

Dynamics of multifrequency oscillator communities.
Maxim Komarov, Arkady Pikovsky. Phys Rev Lett 2013
15
33

Glassy states and super-relaxation in populations of coupled phase oscillators.
D Iatsenko, P V E McClintock, A Stefanovska. Nat Commun 2014
27
18

Synchronization of oscillators in a Kuramoto-type model with generic coupling.
Vladimir Vlasov, Elbert E N Macau, Arkady Pikovsky. Chaos 2014
13
38


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.