Michael Rosenblum, Arkady Pikovsky. Phys Rev Lett 2007
Times Cited: 51
Times Cited: 51
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
39
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
35
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
29
27
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
25
Experiments on oscillator ensembles with global nonlinear coupling.
Amirkhan A Temirbayev, Zeinulla Zh Zhanabaev, Stanislav B Tarasov, Vladimir I Ponomarenko, Michael Rosenblum. Phys Rev E Stat Nonlin Soft Matter Phys 2012
Amirkhan A Temirbayev, Zeinulla Zh Zhanabaev, Stanislav B Tarasov, Vladimir I Ponomarenko, Michael Rosenblum. Phys Rev E Stat Nonlin Soft Matter Phys 2012
39
Biological rhythms and the behavior of populations of coupled oscillators.
A T Winfree. J Theor Biol 1967
A T Winfree. J Theor Biol 1967
23
23
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
45
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
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
21
Synchronization transitions in a disordered Josephson series array.
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
17
17
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
17
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
20
17
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
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
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
15
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
15
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
Phase diagram of a generalized Winfree model.
F Giannuzzi, D Marinazzo, G Nardulli, M Pellicoro, S Stramaglia. Phys Rev E Stat Nonlin Soft Matter Phys 2007
F Giannuzzi, D Marinazzo, G Nardulli, M Pellicoro, S Stramaglia. Phys Rev E Stat Nonlin Soft Matter Phys 2007
85
Slow switching in globally coupled oscillators: robustness and occurrence through delayed coupling.
H Kori, Y Kuramoto. Phys Rev E Stat Nonlin Soft Matter Phys 2001
H Kori, Y Kuramoto. Phys Rev E Stat Nonlin Soft Matter Phys 2001
11
Asynchronous states in networks of pulse-coupled oscillators.
Abbott, van Vreeswijk C. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1993
Abbott, van Vreeswijk C. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1993
11
11
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
11
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
11
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
11
Effective desynchronization by nonlinear delayed feedback.
Oleksandr V Popovych, Christian Hauptmann, Peter A Tass. Phys Rev Lett 2005
Oleksandr V Popovych, Christian Hauptmann, Peter A Tass. Phys Rev Lett 2005
11
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
50
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
11
11
Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
11
Diffusion-induced inhomogeneity in globally coupled oscillators: swing-by mechanism.
Hiroaki Daido, Kenji Nakanishi. Phys Rev Lett 2006
Hiroaki Daido, Kenji Nakanishi. Phys Rev Lett 2006
14
Phase clustering and transition to phase synchronization in a large number of coupled nonlinear oscillators.
Z Liu, Y C Lai, F C Hoppensteadt. Phys Rev E Stat Nonlin Soft Matter Phys 2001
Z Liu, Y C Lai, F C Hoppensteadt. Phys Rev E Stat Nonlin Soft Matter Phys 2001
25
9
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
10
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
9
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
35
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
9
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
14
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
45
Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience.
Peter Ashwin, Stephen Coombes, Rachel Nicks. J Math Neurosci 2016
Peter Ashwin, Stephen Coombes, Rachel Nicks. J Math Neurosci 2016
9
Clustering in globally coupled phase oscillators.
Golomb, Hansel, Shraiman, Sompolinsky. Phys Rev A 1992
Golomb, Hansel, Shraiman, Sompolinsky. Phys Rev A 1992
7
Predicting mutual entrainment of oscillators with experiment-based phase models.
István Z Kiss, Yumei Zhai, John L Hudson. Phys Rev Lett 2005
István Z Kiss, Yumei Zhai, John L Hudson. Phys Rev Lett 2005
7
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
7
Controlling synchronization in an ensemble of globally coupled oscillators.
Michael G Rosenblum, Arkady S Pikovsky. Phys Rev Lett 2004
Michael G Rosenblum, Arkady S Pikovsky. Phys Rev Lett 2004
7
Phase chaos in coupled oscillators.
Oleksandr V Popovych, Yuri L Maistrenko, Peter A Tass. Phys Rev E Stat Nonlin Soft Matter Phys 2005
Oleksandr V Popovych, Yuri L Maistrenko, Peter A Tass. Phys Rev E Stat Nonlin Soft Matter Phys 2005
9
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
11
Time delay in the Kuramoto model with bimodal frequency distribution.
Ernest Montbrió, Diego Pazó, Jürgen Schmidt. Phys Rev E Stat Nonlin Soft Matter Phys 2006
Ernest Montbrió, Diego Pazó, Jürgen Schmidt. Phys Rev E Stat Nonlin Soft Matter Phys 2006
19
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