Edward Ott, Thomas M Antonsen. Chaos 2009
Times Cited: 193
Times Cited: 193
Times Cited
Times Co-cited
Similarity
Low dimensional behavior of large systems of globally coupled oscillators.
Edward Ott, Thomas M Antonsen. Chaos 2008
Edward Ott, Thomas M Antonsen. Chaos 2008
97
31
Partially integrable dynamics of hierarchical populations of coupled oscillators.
Arkady Pikovsky, Michael Rosenblum. Phys Rev Lett 2008
Arkady Pikovsky, Michael Rosenblum. Phys Rev Lett 2008
31
Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
31
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
E A Martens, E Barreto, S H Strogatz, E Ott, P So, T M Antonsen. Phys Rev E Stat Nonlin Soft Matter Phys 2009
29
Biological rhythms and the behavior of populations of coupled oscillators.
A T Winfree. J Theor Biol 1967
A T Winfree. J Theor Biol 1967
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
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2014
56
Complete classification of the macroscopic behavior of a heterogeneous network of theta neurons.
Tanushree B Luke, Ernest Barreto, Paul So. Neural Comput 2013
Tanushree B Luke, Ernest Barreto, Paul So. Neural Comput 2013
42
Identical phase oscillators with global sinusoidal coupling evolve by Mobius group action.
Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
33
Chimera states in mechanical oscillator networks.
Erik Andreas Martens, Shashi Thutupalli, Antoine Fourrière, Oskar Hallatschek. Proc Natl Acad Sci U S A 2013
Erik Andreas Martens, Shashi Thutupalli, Antoine Fourrière, Oskar Hallatschek. Proc Natl Acad Sci U S A 2013
21
Comment on "Long time evolution of phase oscillator systems" [Chaos 19, 023117 (2009)].
Edward Ott, Brian R Hunt, Thomas M Antonsen. Chaos 2011
Edward Ott, Brian R Hunt, Thomas M Antonsen. Chaos 2011
51
21
Emerging coherence in a population of chemical oscillators.
Istvan Z Kiss, Yumei Zhai, John L Hudson. Science 2002
Istvan Z Kiss, Yumei Zhai, John L Hudson. Science 2002
18
Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
21
18
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
Irina V Tyulkina, Denis S Goldobin, Lyudmila S Klimenko, Arkady Pikovsky. Phys Rev Lett 2018
50
Solvable model of spiral wave chimeras.
Erik A Martens, Carlo R Laing, Steven H Strogatz. Phys Rev Lett 2010
Erik A Martens, Carlo R Laing, Steven H Strogatz. Phys Rev Lett 2010
13
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
Shin-ichiro Shima, Yoshiki Kuramoto. Phys Rev E Stat Nonlin Soft Matter Phys 2004
13
Synchronization of two interacting populations of oscillators.
Ernest Montbrió, Jürgen Kurths, Bernd Blasius. Phys Rev E Stat Nonlin Soft Matter Phys 2004
Ernest Montbrió, Jürgen Kurths, Bernd Blasius. Phys Rev E Stat Nonlin Soft Matter Phys 2004
13
Kuramoto model of coupled oscillators with positive and negative coupling parameters: an example of conformist and contrarian oscillators.
Hyunsuk Hong, Steven H Strogatz. Phys Rev Lett 2011
Hyunsuk Hong, Steven H Strogatz. Phys Rev Lett 2011
13
Chimera states are chaotic transients.
Matthias Wolfrum, Oleh E Omel'chenko. Phys Rev E Stat Nonlin Soft Matter Phys 2011
Matthias Wolfrum, Oleh E Omel'chenko. Phys Rev E Stat Nonlin Soft Matter Phys 2011
12
Nonuniversal transitions to synchrony in the Sakaguchi-Kuramoto model.
Oleh E Omel'chenko, Matthias Wolfrum. Phys Rev Lett 2012
Oleh E Omel'chenko, Matthias Wolfrum. Phys Rev Lett 2012
25
Clustered chimera states in delay-coupled oscillator systems.
Gautam C Sethia, Abhijit Sen, Fatihcan M Atay. Phys Rev Lett 2008
Gautam C Sethia, Abhijit Sen, Fatihcan M Atay. Phys Rev Lett 2008
11
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
Mark J Panaggio, Daniel M Abrams, Peter Ashwin, Carlo R Laing. Phys Rev E 2016
23
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
Per Sebastian Skardal, Edward Ott, Juan G Restrepo. Phys Rev E Stat Nonlin Soft Matter Phys 2011
31
Synchronization transitions in a disordered Josephson series array.
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
11
Ott-Antonsen attractiveness for parameter-dependent oscillatory systems.
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
64
Synchronization scenarios in the Winfree model of coupled oscillators.
Rafael Gallego, Ernest Montbrió, Diego Pazó. Phys Rev E 2017
Rafael Gallego, Ernest Montbrió, Diego Pazó. Phys Rev E 2017
91
Collective mode reductions for populations of coupled noisy oscillators.
Denis S Goldobin, Irina V Tyulkina, Lyudmila S Klimenko, Arkady Pikovsky. Chaos 2018
Denis S Goldobin, Irina V Tyulkina, Lyudmila S Klimenko, Arkady Pikovsky. Chaos 2018
73
Chimeras in random non-complete networks of phase oscillators.
Carlo R Laing, Karthikeyan Rajendran, Ioannis G Kevrekidis. Chaos 2012
Carlo R Laing, Karthikeyan Rajendran, Ioannis G Kevrekidis. Chaos 2012
25
Loss of coherence in dynamical networks: spatial chaos and chimera states.
Iryna Omelchenko, Yuri Maistrenko, Philipp Hövel, Eckehard Schöll. Phys Rev Lett 2011
Iryna Omelchenko, Yuri Maistrenko, Philipp Hövel, Eckehard Schöll. Phys Rev Lett 2011
10
Chimera States in populations of nonlocally coupled chemical oscillators.
Simbarashe Nkomo, Mark R Tinsley, Kenneth Showalter. Phys Rev Lett 2013
Simbarashe Nkomo, Mark R Tinsley, Kenneth Showalter. Phys Rev Lett 2013
10
Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling.
Lennart Schmidt, Konrad Schönleber, Katharina Krischer, Vladimir García-Morales. Chaos 2014
Lennart Schmidt, Konrad Schönleber, Katharina Krischer, Vladimir García-Morales. Chaos 2014
10
Spectral properties of chimera states.
M Wolfrum, O E Omel'chenko, S Yanchuk, Y L Maistrenko. Chaos 2011
M Wolfrum, O E Omel'chenko, S Yanchuk, Y L Maistrenko. Chaos 2011
13
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
Iryna Omelchenko, Oleh E Omel'chenko, Philipp Hövel, Eckehard Schöll. Phys Rev Lett 2013
10
The asymptotic behavior of the order parameter for the infinite-N Kuramoto model.
Renato E Mirollo. Chaos 2012
Renato E Mirollo. Chaos 2012
58
Explosive synchronization transitions in scale-free networks.
Jesús Gómez-Gardeñes, Sergio Gómez, Alex Arenas, Yamir Moreno. Phys Rev Lett 2011
Jesús Gómez-Gardeñes, Sergio Gómez, Alex Arenas, Yamir Moreno. Phys Rev Lett 2011
10
Modeling the network dynamics of pulse-coupled neurons.
Sarthak Chandra, David Hathcock, Kimberly Crain, Thomas M Antonsen, Michelle Girvan, Edward Ott. Chaos 2017
Sarthak Chandra, David Hathcock, Kimberly Crain, Thomas M Antonsen, Michelle Girvan, Edward Ott. Chaos 2017
71
Thermodynamic limit of the first-order phase transition in the Kuramoto model.
Diego Pazó. Phys Rev E Stat Nonlin Soft Matter Phys 2005
Diego Pazó. Phys Rev E Stat Nonlin Soft Matter Phys 2005
13
Existence of hysteresis in the Kuramoto model with bimodal frequency distributions.
Diego Pazó, Ernest Montbrió. Phys Rev E Stat Nonlin Soft Matter Phys 2009
Diego Pazó, Ernest Montbrió. Phys Rev E Stat Nonlin Soft Matter Phys 2009
27
Partially coherent twisted states in arrays of coupled phase oscillators.
Oleh E Omel'chenko, Matthias Wolfrum, Carlo R Laing. Chaos 2014
Oleh E Omel'chenko, Matthias Wolfrum, Carlo R Laing. Chaos 2014
52
9
Spatially organized dynamical states in chemical oscillator networks: synchronization, dynamical differentiation, and chimera patterns.
Mahesh Wickramasinghe, István Z Kiss. PLoS One 2013
Mahesh Wickramasinghe, István Z Kiss. PLoS One 2013
10
Chimera states on the surface of a sphere.
Mark J Panaggio, Daniel M Abrams. Phys Rev E Stat Nonlin Soft Matter Phys 2015
Mark J Panaggio, Daniel M Abrams. Phys Rev E Stat Nonlin Soft Matter Phys 2015
32
Synchronization in networks of networks: the onset of coherent collective behavior in systems of interacting populations of heterogeneous oscillators.
Ernest Barreto, Brian Hunt, Edward Ott, Paul So. Phys Rev E Stat Nonlin Soft Matter Phys 2008
Ernest Barreto, Brian Hunt, Edward Ott, Paul So. Phys Rev E Stat Nonlin Soft Matter Phys 2008
13
Chimera death: symmetry breaking in dynamical networks.
Anna Zakharova, Marie Kapeller, Eckehard Schöll. Phys Rev Lett 2014
Anna Zakharova, Marie Kapeller, Eckehard Schöll. Phys Rev Lett 2014
9
Invariant submanifold for series arrays of Josephson junctions.
Seth A Marvel, Steven H Strogatz. Chaos 2009
Seth A Marvel, Steven H Strogatz. Chaos 2009
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
Hyunsuk Hong, Steven H Strogatz. Phys Rev E Stat Nonlin Soft Matter Phys 2011
16
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.