Amirkhan A Temirbayev, Zeinulla Zh Zhanabaev, Stanislav B Tarasov, Vladimir I Ponomarenko, Michael Rosenblum. Phys Rev E Stat Nonlin Soft Matter Phys 2012
Times Cited: 33
Times Cited: 33
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
42
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
39
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
30
Partial synchronization in populations of pulse-coupled oscillators.
Vreeswijk. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1996
Vreeswijk. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1996
27
Autonomous and forced dynamics of oscillator ensembles with global nonlinear coupling: an experimental study.
Amirkhan A Temirbayev, Yerkebulan D Nalibayev, Zeinulla Zh Zhanabaev, Vladimir I Ponomarenko, Michael Rosenblum. Phys Rev E Stat Nonlin Soft Matter Phys 2013
Amirkhan A Temirbayev, Yerkebulan D Nalibayev, Zeinulla Zh Zhanabaev, Vladimir I Ponomarenko, Michael Rosenblum. Phys Rev E Stat Nonlin Soft Matter Phys 2013
81
Synchronization transitions in a disordered Josephson series array.
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
24
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
Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
21
Synchronization of micromechanical oscillators using light.
Mian Zhang, Gustavo S Wiederhecker, Sasikanth Manipatruni, Arthur Barnard, Paul McEuen, Michal Lipson. Phys Rev Lett 2012
Mian Zhang, Gustavo S Wiederhecker, Sasikanth Manipatruni, Arthur Barnard, Paul McEuen, Michal Lipson. Phys Rev Lett 2012
18
18
18
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
18
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
18
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
15
Averaged equations for Josephson junction series arrays.
Wiesenfeld, Swift. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1995
Wiesenfeld, Swift. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1995
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
Collective dynamics in optomechanical arrays.
Georg Heinrich, Max Ludwig, Jiang Qian, Björn Kubala, Florian Marquardt. Phys Rev Lett 2011
Georg Heinrich, Max Ludwig, Jiang Qian, Björn Kubala, Florian Marquardt. Phys Rev Lett 2011
15
Phase dynamics of coupled oscillators reconstructed from data.
Björn Kralemann, Laura Cimponeriu, Michael Rosenblum, Arkady Pikovsky, Ralf Mrowka. Phys Rev E Stat Nonlin Soft Matter Phys 2008
Björn Kralemann, Laura Cimponeriu, Michael Rosenblum, Arkady Pikovsky, Ralf Mrowka. Phys Rev E Stat Nonlin Soft Matter Phys 2008
15
Acetaldehyde mediates the synchronization of sustained glycolytic oscillations in populations of yeast cells.
P Richard, B M Bakker, B Teusink, K Van Dam, H V Westerhoff. Eur J Biochem 1996
P Richard, B M Bakker, B Teusink, K Van Dam, H V Westerhoff. Eur J Biochem 1996
15
Multiplicity of singular synchronous states in the Kuramoto model of coupled oscillators.
Maxim Komarov, Arkady Pikovsky. Phys Rev Lett 2013
Maxim Komarov, Arkady Pikovsky. Phys Rev Lett 2013
18
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
15
A sensing array of radically coupled genetic 'biopixels'.
Arthur Prindle, Phillip Samayoa, Ivan Razinkov, Tal Danino, Lev S Tsimring, Jeff Hasty. Nature 2011
Arthur Prindle, Phillip Samayoa, Ivan Razinkov, Tal Danino, Lev S Tsimring, Jeff Hasty. Nature 2011
15
Observing geometric frustration with thousands of coupled lasers.
Micha Nixon, Eitan Ronen, Asher A Friesem, Nir Davidson. Phys Rev Lett 2013
Micha Nixon, Eitan Ronen, Asher A Friesem, Nir Davidson. Phys Rev Lett 2013
15
Experimental study of synchronization of coupled electrical self-oscillators and comparison to the Sakaguchi-Kuramoto model.
L Q English, Zhuwei Zeng, David Mertens. Phys Rev E Stat Nonlin Soft Matter Phys 2015
L Q English, Zhuwei Zeng, David Mertens. Phys Rev E Stat Nonlin Soft Matter Phys 2015
100
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
12
Reconstructing phase dynamics of oscillator networks.
Björn Kralemann, Arkady Pikovsky, Michael Rosenblum. Chaos 2011
Björn Kralemann, Arkady Pikovsky, Michael Rosenblum. Chaos 2011
12
Generalized coupling in the Kuramoto model.
G Filatrella, N F Pedersen, K Wiesenfeld. Phys Rev E Stat Nonlin Soft Matter Phys 2007
G Filatrella, N F Pedersen, K Wiesenfeld. Phys Rev E Stat Nonlin Soft Matter Phys 2007
16
Modeling walker synchronization on the Millennium Bridge.
Bruno Eckhardt, Edward Ott, Steven H Strogatz, Daniel M Abrams, Allan McRobie. Phys Rev E Stat Nonlin Soft Matter Phys 2007
Bruno Eckhardt, Edward Ott, Steven H Strogatz, Daniel M Abrams, Allan McRobie. Phys Rev E Stat Nonlin Soft Matter Phys 2007
12
Physics of the rhythmic applause.
Z Néda, E Ravasz, T Vicsek, Y Brechet, A L Barabási. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 2000
Z Néda, E Ravasz, T Vicsek, Y Brechet, A L Barabási. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 2000
12
Effects of nonresonant interaction in ensembles of phase oscillators.
Maxim Komarov, Arkady Pikovsky. Phys Rev E Stat Nonlin Soft Matter Phys 2011
Maxim Komarov, Arkady Pikovsky. Phys Rev E Stat Nonlin Soft Matter Phys 2011
28
Generating macroscopic chaos in a network of globally coupled phase oscillators.
Paul So, Ernest Barreto. Chaos 2011
Paul So, Ernest Barreto. Chaos 2011
20
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
12
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
12
Periodically forced ensemble of nonlinearly coupled oscillators: from partial to full synchrony.
Yernur Baibolatov, Michael Rosenblum, Zeinulla Zh Zhanabaev, Meyramgul Kyzgarina, Arkady Pikovsky. Phys Rev E Stat Nonlin Soft Matter Phys 2009
Yernur Baibolatov, Michael Rosenblum, Zeinulla Zh Zhanabaev, Meyramgul Kyzgarina, Arkady Pikovsky. Phys Rev E Stat Nonlin Soft Matter Phys 2009
33
12
Synchronization and stimulated emission in an array of mechanical phase oscillators on a resonant support.
David Mertens, Richard Weaver. Phys Rev E Stat Nonlin Soft Matter Phys 2011
David Mertens, Richard Weaver. Phys Rev E Stat Nonlin Soft Matter Phys 2011
50
Engineering complex dynamical structures: sequential patterns and desynchronization.
István Z Kiss, Craig G Rusin, Hiroshi Kori, John L Hudson. Science 2007
István Z Kiss, Craig G Rusin, Hiroshi Kori, John L Hudson. Science 2007
12
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
12
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
14
Chimera states: the existence criteria revisited.
Gautam C Sethia, Abhijit Sen. Phys Rev Lett 2014
Gautam C Sethia, Abhijit Sen. Phys Rev Lett 2014
12
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
13
Self-emerging and turbulent chimeras in oscillator chains.
Grigory Bordyugov, Arkady Pikovsky, Michael Rosenblum. Phys Rev E Stat Nonlin Soft Matter Phys 2010
Grigory Bordyugov, Arkady Pikovsky, Michael Rosenblum. Phys Rev E Stat Nonlin Soft Matter Phys 2010
9
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
9
9
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
9
Self-organized synchronization in decentralized power grids.
Martin Rohden, Andreas Sorge, Marc Timme, Dirk Witthaut. Phys Rev Lett 2012
Martin Rohden, Andreas Sorge, Marc Timme, Dirk Witthaut. Phys Rev Lett 2012
9
Determination of a coupling function in multicoupled oscillators.
Jun Miyazaki, Shuichi Kinoshita. Phys Rev Lett 2006
Jun Miyazaki, Shuichi Kinoshita. Phys Rev Lett 2006
9
Dynamics of the globally coupled complex Ginzburg-Landau equation.
Hakim, Rappel. Phys Rev A 1992
Hakim, Rappel. Phys Rev A 1992
9
Synchronization of active mechanical oscillators by an inertial load.
Andrej Vilfan, Thomas Duke. Phys Rev Lett 2003
Andrej Vilfan, Thomas Duke. Phys Rev Lett 2003
15
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.