Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
Times Cited: 68
Times Cited: 68
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
85
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
63
60
38
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
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
E A Martens, E Barreto, S H Strogatz, E Ott, P So, T M Antonsen. Phys Rev E Stat Nonlin Soft Matter Phys 2009
33
Invariant submanifold for series arrays of Josephson junctions.
Seth A Marvel, Steven H Strogatz. Chaos 2009
Seth A Marvel, Steven H Strogatz. Chaos 2009
40
22
Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
20
19
Biological rhythms and the behavior of populations of coupled oscillators.
A T Winfree. J Theor Biol 1967
A T Winfree. J Theor Biol 1967
19
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
17
Generative models of cortical oscillations: neurobiological implications of the kuramoto model.
Michael Breakspear, Stewart Heitmann, Andreas Daffertshofer. Front Hum Neurosci 2010
Michael Breakspear, Stewart Heitmann, Andreas Daffertshofer. Front Hum Neurosci 2010
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
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2014
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
18
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
15
Clustering and slow switching in globally coupled phase oscillators.
Hansel, Mato, Meunier. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1993
Hansel, Mato, Meunier. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1993
13
The asymptotic behavior of the order parameter for the infinite-N Kuramoto model.
Renato E Mirollo. Chaos 2012
Renato E Mirollo. Chaos 2012
52
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
Yuri Maistrenko, Bogdan Penkovsky, Michael Rosenblum. Phys Rev E Stat Nonlin Soft Matter Phys 2014
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
Irina V Tyulkina, Denis S Goldobin, Lyudmila S Klimenko, Arkady Pikovsky. Phys Rev Lett 2018
32
Large coupled oscillator systems with heterogeneous interaction delays.
Wai Shing Lee, Edward Ott, Thomas M Antonsen. Phys Rev Lett 2009
Wai Shing Lee, Edward Ott, Thomas M Antonsen. Phys Rev Lett 2009
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
Diego Pazó, Ernest Montbrió. Phys Rev E Stat Nonlin Soft Matter Phys 2009
22
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
20
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
11
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
10
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
10
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
10
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
10
Synchronization transitions in a disordered Josephson series array.
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
10
Clustering in globally coupled phase oscillators.
Golomb, Hansel, Shraiman, Sompolinsky. Phys Rev A 1992
Golomb, Hansel, Shraiman, Sompolinsky. Phys Rev A 1992
10
Generating macroscopic chaos in a network of globally coupled phase oscillators.
Paul So, Ernest Barreto. Chaos 2011
Paul So, Ernest Barreto. Chaos 2011
35
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
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
Hyunsuk Hong, Steven H Strogatz. Phys Rev E Stat Nonlin Soft Matter Phys 2012
22
Chimera states in two populations with heterogeneous phase-lag.
Erik A Martens, Christian Bick, Mark J Panaggio. Chaos 2016
Erik A Martens, Christian Bick, Mark J Panaggio. Chaos 2016
29
Ott-Antonsen attractiveness for parameter-dependent oscillatory systems.
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
41
Self-organized quasiperiodicity in oscillator ensembles with global nonlinear coupling.
Michael Rosenblum, Arkady Pikovsky. Phys Rev Lett 2007
Michael Rosenblum, Arkady Pikovsky. Phys Rev Lett 2007
11
Quasientrainment and slow relaxation in a population of oscillators with random and frustrated interactions.
Daido. Phys Rev Lett 1992
Daido. Phys Rev Lett 1992
8
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
M A Zaks, A B Neiman, S Feistel, L Schimansky-Geier. Phys Rev E Stat Nonlin Soft Matter Phys 2003
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
Per Sebastian Skardal, Edward Ott, Juan G Restrepo. Phys Rev E Stat Nonlin Soft Matter Phys 2011
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
Christian Bick, Marc Goodfellow, Carlo R Laing, Erik A Martens. J Math Neurosci 2020
17
Chimera states: the natural link between coherence and incoherence.
Oleh E Omel'chenko, Yuri L Maistrenko, Peter A Tass. Phys Rev Lett 2008
Oleh E Omel'chenko, Yuri L Maistrenko, Peter A Tass. Phys Rev Lett 2008
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
Ken H Nagai, Hiroshi Kori. Phys Rev E Stat Nonlin Soft Matter Phys 2010
17
7
The local electric changes associated with repetitive action in a non-medullated axon.
A L Hodgkin. J Physiol 1948
A L Hodgkin. J Physiol 1948
7
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
7
Dynamics of multifrequency oscillator communities.
Maxim Komarov, Arkady Pikovsky. Phys Rev Lett 2013
Maxim Komarov, Arkady Pikovsky. Phys Rev Lett 2013
33
Glassy states and super-relaxation in populations of coupled phase oscillators.
D Iatsenko, P V E McClintock, A Stefanovska. Nat Commun 2014
D Iatsenko, P V E McClintock, A Stefanovska. Nat Commun 2014
18
Synchronization of oscillators in a Kuramoto-type model with generic coupling.
Vladimir Vlasov, Elbert E N Macau, Arkady Pikovsky. Chaos 2014
Vladimir Vlasov, Elbert E N Macau, Arkady Pikovsky. Chaos 2014
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.