A citation-based method for searching scientific literature

Edward Ott, Thomas M Antonsen. Chaos 2009
Times Cited: 182







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



Times Cited
  Times     Co-cited
Similarity



Chimera states for coupled oscillators.
Daniel M Abrams, Steven H Strogatz. Phys Rev Lett 2004
447
32

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
97
30

Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
218
28

Derivation of a neural field model from a network of theta neurons.
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2014
46
60





Identical phase oscillators with global sinusoidal coupling evolve by Mobius group action.
Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
65
33

Chimera states in mechanical oscillator networks.
Erik Andreas Martens, Shashi Thutupalli, Antoine Fourrière, Oskar Hallatschek. Proc Natl Acad Sci U S A 2013
205
19

Integrability of a globally coupled oscillator array.
Watanabe, Strogatz. Phys Rev Lett 1993
92
19

Emerging coherence in a population of chemical oscillators.
Istvan Z Kiss, Yumei Zhai, John L Hudson. Science 2002
205
18


Stability diagram for the forced Kuramoto model.
Lauren M Childs, Steven H Strogatz. Chaos 2008
77
20


Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
66
22

Synchronization of two interacting populations of oscillators.
Ernest Montbrió, Jürgen Kurths, Bernd Blasius. Phys Rev E Stat Nonlin Soft Matter Phys 2004
91
14

Nonuniversal transitions to synchrony in the Sakaguchi-Kuramoto model.
Oleh E Omel'chenko, Matthias Wolfrum. Phys Rev Lett 2012
45
28

Clustered chimera states in delay-coupled oscillator systems.
Gautam C Sethia, Abhijit Sen, Fatihcan M Atay. Phys Rev Lett 2008
122
12

Solvable model of spiral wave chimeras.
Erik A Martens, Carlo R Laing, Steven H Strogatz. Phys Rev Lett 2010
105
12

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
34

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
35

Chimera states: the existence criteria revisited.
Gautam C Sethia, Abhijit Sen. Phys Rev Lett 2014
106
11

Loss of coherence in dynamical networks: spatial chaos and chimera states.
Iryna Omelchenko, Yuri Maistrenko, Philipp Hövel, Eckehard Schöll. Phys Rev Lett 2011
126
11

Chimera states are chaotic transients.
Matthias Wolfrum, Oleh E Omel'chenko. Phys Rev E Stat Nonlin Soft Matter Phys 2011
105
11

Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling.
Lennart Schmidt, Konrad Schönleber, Katharina Krischer, Vladimir García-Morales. Chaos 2014
107
11


Spectral properties of chimera states.
M Wolfrum, O E Omel'chenko, S Yanchuk, Y L Maistrenko. Chaos 2011
70
15


Large coupled oscillator systems with heterogeneous interaction delays.
Wai Shing Lee, Edward Ott, Thomas M Antonsen. Phys Rev Lett 2009
47
23

Partially coherent twisted states in arrays of coupled phase oscillators.
Oleh E Omel'chenko, Matthias Wolfrum, Carlo R Laing. Chaos 2014
17
64

Collective mode reductions for populations of coupled noisy oscillators.
Denis S Goldobin, Irina V Tyulkina, Lyudmila S Klimenko, Arkady Pikovsky. Chaos 2018
15
73

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
24
45


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
127
10

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
43
23

Chimeras in networks with purely local coupling.
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2015
53
18

Explosive synchronization transitions in scale-free networks.
Jesús Gómez-Gardeñes, Sergio Gómez, Alex Arenas, Yamir Moreno. Phys Rev Lett 2011
168
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
50
20

Ott-Antonsen attractiveness for parameter-dependent oscillatory systems.
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
14
71

Modeling the network dynamics of pulse-coupled neurons.
Sarthak Chandra, David Hathcock, Kimberly Crain, Thomas M Antonsen, Michelle Girvan, Edward Ott. Chaos 2017
13
76

Synchronization scenarios in the Winfree model of coupled oscillators.
Rafael Gallego, Ernest Montbrió, Diego Pazó. Phys Rev E 2017
11
90

Virtual chimera states for delayed-feedback systems.
Laurent Larger, Bogdan Penkovsky, Yuri Maistrenko. Phys Rev Lett 2013
122
9

Chimera States in populations of nonlocally coupled chemical oscillators.
Simbarashe Nkomo, Mark R Tinsley, Kenneth Showalter. Phys Rev Lett 2013
97
9

Weak chimeras in minimal networks of coupled phase oscillators.
Peter Ashwin, Oleksandr Burylko. Chaos 2015
54
16

Chimera states on the surface of a sphere.
Mark J Panaggio, Daniel M Abrams. Phys Rev E Stat Nonlin Soft Matter Phys 2015
27
33

Glassy states and super-relaxation in populations of coupled phase oscillators.
D Iatsenko, P V E McClintock, A Stefanovska. Nat Commun 2014
25
36

Synchronization transitions in a disordered Josephson series array.
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
198
9

Nonuniversal results induced by diversity distribution in coupled excitable systems.
Luis F Lafuerza, Pere Colet, Raul Toral. Phys Rev Lett 2010
30
30


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.