Anastasiya V Pimenova, Denis S Goldobin, Michael Rosenblum, Arkady Pikovsky. Sci Rep 2016
Times Cited: 19
Times Cited: 19
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
47
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
36
Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators.
Jun-Nosuke Teramae, Dan Tanaka. Phys Rev Lett 2004
Jun-Nosuke Teramae, Dan Tanaka. Phys Rev Lett 2004
26
Synchronization in complex oscillator networks and smart grids.
Florian Dörfler, Michael Chertkov, Francesco Bullo. Proc Natl Acad Sci U S A 2013
Florian Dörfler, Michael Chertkov, Francesco Bullo. Proc Natl Acad Sci U S A 2013
21
Synchronization and desynchronization of self-sustained oscillators by common noise.
Denis S Goldobin, Arkady Pikovsky. Phys Rev E Stat Nonlin Soft Matter Phys 2005
Denis S Goldobin, Arkady Pikovsky. Phys Rev E Stat Nonlin Soft Matter Phys 2005
21
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
21
21
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
15
Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
15
Cluster synchronization and isolated desynchronization in complex networks with symmetries.
Louis M Pecora, Francesco Sorrentino, Aaron M Hagerstrom, Thomas E Murphy, Rajarshi Roy. Nat Commun 2014
Louis M Pecora, Francesco Sorrentino, Aaron M Hagerstrom, Thomas E Murphy, Rajarshi Roy. Nat Commun 2014
15
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
15
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
15
Chimeralike states in an ensemble of globally coupled oscillators.
Azamat Yeldesbay, Arkady Pikovsky, Michael Rosenblum. Phys Rev Lett 2014
Azamat Yeldesbay, Arkady Pikovsky, Michael Rosenblum. Phys Rev Lett 2014
15
Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling.
Qingyun Wang, Guanrong Chen, Matjaž Perc. PLoS One 2011
Qingyun Wang, Guanrong Chen, Matjaž Perc. PLoS One 2011
15
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
15
Repulsive synchronization in an array of phase oscillators.
L S Tsimring, N F Rulkov, M L Larsen, M Gabbay. Phys Rev Lett 2005
L S Tsimring, N F Rulkov, M L Larsen, M Gabbay. Phys Rev Lett 2005
15
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
15
Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators.
Hiroya Nakao, Kensuke Arai, Yoji Kawamura. Phys Rev Lett 2007
Hiroya Nakao, Kensuke Arai, Yoji Kawamura. Phys Rev Lett 2007
15
Coherence-Resonance Chimeras in a Network of Excitable Elements.
Nadezhda Semenova, Anna Zakharova, Vadim Anishchenko, Eckehard Schöll. Phys Rev Lett 2016
Nadezhda Semenova, Anna Zakharova, Vadim Anishchenko, Eckehard Schöll. Phys Rev Lett 2016
15
Noise-enhanced phase synchronization of chaotic oscillators.
Changsong Zhou, Jürgen Kurths, István Z Kiss, John L Hudson. Phys Rev Lett 2002
Changsong Zhou, Jürgen Kurths, István Z Kiss, John L Hudson. Phys Rev Lett 2002
15
Biological rhythms and the behavior of populations of coupled oscillators.
A T Winfree. J Theor Biol 1967
A T Winfree. J Theor Biol 1967
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 and desynchronization in epilepsy: controversies and hypotheses.
Premysl Jiruska, Marco de Curtis, John G R Jefferys, Catherine A Schevon, Steven J Schiff, Kaspar Schindler. J Physiol 2013
Premysl Jiruska, Marco de Curtis, John G R Jefferys, Catherine A Schevon, Steven J Schiff, Kaspar Schindler. J Physiol 2013
10
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
10
Macroscopic complexity from an autonomous network of networks of theta neurons.
Tanushree B Luke, Ernest Barreto, Paul So. Front Comput Neurosci 2014
Tanushree B Luke, Ernest Barreto, Paul So. Front Comput Neurosci 2014
14
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
10
Antireliability of noise-driven neurons.
Denis S Goldobin, Arkady Pikovsky. Phys Rev E Stat Nonlin Soft Matter Phys 2006
Denis S Goldobin, Arkady Pikovsky. Phys Rev E Stat Nonlin Soft Matter Phys 2006
10
Invariant submanifold for series arrays of Josephson junctions.
Seth A Marvel, Steven H Strogatz. Chaos 2009
Seth A Marvel, Steven H Strogatz. Chaos 2009
10
Synchronization transitions in a disordered Josephson series array.
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
10
10
Noise-induced synchronization, desynchronization, and clustering in globally coupled nonidentical oscillators.
Yi Ming Lai, Mason A Porter. Phys Rev E Stat Nonlin Soft Matter Phys 2013
Yi Ming Lai, Mason A Porter. Phys Rev E Stat Nonlin Soft Matter Phys 2013
11
Clustering in globally coupled phase oscillators.
Golomb, Hansel, Shraiman, Sompolinsky. Phys Rev A 1992
Golomb, Hansel, Shraiman, Sompolinsky. Phys Rev A 1992
10
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
10
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
10
Repulsively coupled Kuramoto-Sakaguchi phase oscillators ensemble subject to common noise.
Chen Chris Gong, Chunming Zheng, Ralf Toenjes, Arkady Pikovsky. Chaos 2019
Chen Chris Gong, Chunming Zheng, Ralf Toenjes, Arkady Pikovsky. Chaos 2019
25
Multistability and clustering in a population of synthetic genetic oscillators via phase-repulsive cell-to-cell communication.
Ekkehard Ullner, Alexei Zaikin, Evgenii I Volkov, Jordi García-Ojalvo. Phys Rev Lett 2007
Ekkehard Ullner, Alexei Zaikin, Evgenii I Volkov, Jordi García-Ojalvo. Phys Rev Lett 2007
10
GABA-mediated repulsive coupling between circadian clock neurons in the SCN encodes seasonal time.
Jihwan Myung, Sungho Hong, Daniel DeWoskin, Erik De Schutter, Daniel B Forger, Toru Takumi. Proc Natl Acad Sci U S A 2015
Jihwan Myung, Sungho Hong, Daniel DeWoskin, Erik De Schutter, Daniel B Forger, Toru Takumi. Proc Natl Acad Sci U S A 2015
10
Synchronization of hyperexcitable systems with phase-repulsive coupling.
G Balázsi, A Cornell-Bell, A B Neiman, F Moss. Phys Rev E Stat Nonlin Soft Matter Phys 2001
G Balázsi, A Cornell-Bell, A B Neiman, F Moss. Phys Rev E Stat Nonlin Soft Matter Phys 2001
10
Emergent multistability and frustration in phase-repulsive networks of oscillators.
Zoran Levnajić. Phys Rev E Stat Nonlin Soft Matter Phys 2011
Zoran Levnajić. Phys Rev E Stat Nonlin Soft Matter Phys 2011
11
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
10
When inhibition not excitation synchronizes neural firing.
C Van Vreeswijk, L F Abbott, G B Ermentrout. J Comput Neurosci 1994
C Van Vreeswijk, L F Abbott, G B Ermentrout. J Comput Neurosci 1994
10
Stationary and traveling wave states of the Kuramoto model with an arbitrary distribution of frequencies and coupling strengths.
D Iatsenko, S Petkoski, P V E McClintock, A Stefanovska. Phys Rev Lett 2013
D Iatsenko, S Petkoski, P V E McClintock, A Stefanovska. Phys Rev Lett 2013
10
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
15
Theoretical mechanics: crowd synchrony on the Millennium Bridge.
Steven H Strogatz, Daniel M Abrams, Allan McRobie, Bruno Eckhardt, Edward Ott. Nature 2005
Steven H Strogatz, Daniel M Abrams, Allan McRobie, Bruno Eckhardt, Edward Ott. Nature 2005
10
10
Isostable reduction of oscillators with piecewise smooth dynamics and complex Floquet multipliers.
Dan Wilson. Phys Rev E 2019
Dan Wilson. Phys Rev E 2019
15
Phase reduction method for strongly perturbed limit cycle oscillators.
Wataru Kurebayashi, Sho Shirasaka, Hiroya Nakao. Phys Rev Lett 2013
Wataru Kurebayashi, Sho Shirasaka, Hiroya Nakao. Phys Rev Lett 2013
10
Numerical phase reduction beyond the first order approximation.
Michael Rosenblum, Arkady Pikovsky. Chaos 2019
Michael Rosenblum, Arkady Pikovsky. Chaos 2019
20
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.