A citation-based method for searching scientific literature

Arkady Pikovsky, Michael Rosenblum. Phys Rev Lett 2008
Times Cited: 128







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



Times Cited
  Times     Co-cited
Similarity



Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
233
61

Long time evolution of phase oscillator systems.
Edward Ott, Thomas M Antonsen. Chaos 2009
194
53

Chimera states for coupled oscillators.
Daniel M Abrams, Steven H Strogatz. Phys Rev Lett 2004
479
43

Identical phase oscillators with global sinusoidal coupling evolve by Mobius group action.
Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
69
52

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
105
32

Chimera states in mechanical oscillator networks.
Erik Andreas Martens, Shashi Thutupalli, Antoine Fourrière, Oskar Hallatschek. Proc Natl Acad Sci U S A 2013
217
29


Synchronization of two interacting populations of oscillators.
Ernest Montbrió, Jürgen Kurths, Bernd Blasius. Phys Rev E Stat Nonlin Soft Matter Phys 2004
94
27


Solvable model of spiral wave chimeras.
Erik A Martens, Carlo R Laing, Steven H Strogatz. Phys Rev Lett 2010
111
23

Integrability of a globally coupled oscillator array.
Watanabe, Strogatz. Phys Rev Lett 1993
96
21

Spectral properties of chimera states.
M Wolfrum, O E Omel'chenko, S Yanchuk, Y L Maistrenko. Chaos 2011
73
27


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
135
19

Clustered chimera states in delay-coupled oscillator systems.
Gautam C Sethia, Abhijit Sen, Fatihcan M Atay. Phys Rev Lett 2008
124
19


Chimera states: the natural link between coherence and incoherence.
Oleh E Omel'chenko, Yuri L Maistrenko, Peter A Tass. Phys Rev Lett 2008
82
21

Bistable chimera attractors on a triangular network of oscillator populations.
Erik A Martens. Phys Rev E Stat Nonlin Soft Matter Phys 2010
43
39

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
47
36

Chimeras in networks of planar oscillators.
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2010
53
30

Self-emerging and turbulent chimeras in oscillator chains.
Grigory Bordyugov, Arkady Pikovsky, Michael Rosenblum. Phys Rev E Stat Nonlin Soft Matter Phys 2010
55
27

Chimera states are chaotic transients.
Matthias Wolfrum, Oleh E Omel'chenko. Phys Rev E Stat Nonlin Soft Matter Phys 2011
113
15

Chimeras in random non-complete networks of phase oscillators.
Carlo R Laing, Karthikeyan Rajendran, Ioannis G Kevrekidis. Chaos 2012
39
38

Stability diagram for the forced Kuramoto model.
Lauren M Childs, Steven H Strogatz. Chaos 2008
78
17


Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
74
18

Invariant submanifold for series arrays of Josephson junctions.
Seth A Marvel, Steven H Strogatz. Chaos 2009
40
32

Emerging coherence in a population of chemical oscillators.
Istvan Z Kiss, Yumei Zhai, John L Hudson. Science 2002
213
13

Nonuniversal transitions to synchrony in the Sakaguchi-Kuramoto model.
Oleh E Omel'chenko, Matthias Wolfrum. Phys Rev Lett 2012
47
27

When nonlocal coupling between oscillators becomes stronger: patched synchrony or multichimera states.
Iryna Omelchenko, Oleh E Omel'chenko, Philipp Hövel, Eckehard Schöll. Phys Rev Lett 2013
125
13

Chimera states: the existence criteria revisited.
Gautam C Sethia, Abhijit Sen. Phys Rev Lett 2014
110
13

Theoretical mechanics: crowd synchrony on the Millennium Bridge.
Steven H Strogatz, Daniel M Abrams, Allan McRobie, Bruno Eckhardt, Edward Ott. Nature 2005
134
12

Hierarchical synchrony of phase oscillators in modular networks.
Per Sebastian Skardal, Juan G Restrepo. Phys Rev E Stat Nonlin Soft Matter Phys 2012
35
34

Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling.
Lennart Schmidt, Konrad Schönleber, Katharina Krischer, Vladimir García-Morales. Chaos 2014
112
12

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
55
21

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
30

Instability of synchronized motion in nonlocally coupled neural oscillators.
Hidetsugu Sakaguchi. Phys Rev E Stat Nonlin Soft Matter Phys 2006
62
17

Large coupled oscillator systems with heterogeneous interaction delays.
Wai Shing Lee, Edward Ott, Thomas M Antonsen. Phys Rev Lett 2009
49
22

Shear diversity prevents collective synchronization.
Ernest Montbrió, Diego Pazó. Phys Rev Lett 2011
26
42

Synchronization transitions in a disordered Josephson series array.
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
208
11

Generative models of cortical oscillations: neurobiological implications of the kuramoto model.
Michael Breakspear, Stewart Heitmann, Andreas Daffertshofer. Front Hum Neurosci 2010
191
11

Behavioral, neurophysiological and evolutionary perspectives on unihemispheric sleep.
N C Rattenborg, C J Amlaner, S L Lima. Neurosci Biobehav Rev 2000
199
11

Virtual chimera states for delayed-feedback systems.
Laurent Larger, Bogdan Penkovsky, Yuri Maistrenko. Phys Rev Lett 2013
127
11

Loss of coherence in dynamical networks: spatial chaos and chimera states.
Iryna Omelchenko, Yuri Maistrenko, Philipp Hövel, Eckehard Schöll. Phys Rev Lett 2011
133
11

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


Phase chaos in coupled oscillators.
Oleksandr V Popovych, Yuri L Maistrenko, Peter A Tass. Phys Rev E Stat Nonlin Soft Matter Phys 2005
43
23


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
27


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.