Arkady Pikovsky, Michael Rosenblum. Phys Rev Lett 2008
Times Cited: 128
Times Cited: 128
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
77
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
61
53
43
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
52
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
32
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
29
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
27
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
24
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
23
21
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
27
Biological rhythms and the behavior of populations of coupled oscillators.
A T Winfree. J Theor Biol 1967
A T Winfree. J Theor Biol 1967
20
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
19
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
19
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
29
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
21
Bistable chimera attractors on a triangular network of oscillator populations.
Erik A Martens. Phys Rev E Stat Nonlin Soft Matter Phys 2010
Erik A Martens. Phys Rev E Stat Nonlin Soft Matter Phys 2010
39
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
36
Chimeras in networks of planar oscillators.
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2010
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2010
30
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
27
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
15
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
38
17
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
35
Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
18
Invariant submanifold for series arrays of Josephson junctions.
Seth A Marvel, Steven H Strogatz. Chaos 2009
Seth A Marvel, Steven H Strogatz. Chaos 2009
32
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
13
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
27
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
13
13
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
Hierarchical synchrony of phase oscillators in modular networks.
Per Sebastian Skardal, Juan G Restrepo. Phys Rev E Stat Nonlin Soft Matter Phys 2012
Per Sebastian Skardal, Juan G Restrepo. Phys Rev E Stat Nonlin Soft Matter Phys 2012
34
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
12
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
21
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
30
Instability of synchronized motion in nonlocally coupled neural oscillators.
Hidetsugu Sakaguchi. Phys Rev E Stat Nonlin Soft Matter Phys 2006
Hidetsugu Sakaguchi. Phys Rev E Stat Nonlin Soft Matter Phys 2006
17
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
22
Shear diversity prevents collective synchronization.
Ernest Montbrió, Diego Pazó. Phys Rev Lett 2011
Ernest Montbrió, Diego Pazó. Phys Rev Lett 2011
42
Synchronization transitions in a disordered Josephson series array.
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
Wiesenfeld, Colet, Strogatz. Phys Rev Lett 1996
11
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
11
Behavioral, neurophysiological and evolutionary perspectives on unihemispheric sleep.
N C Rattenborg, C J Amlaner, S L Lima. Neurosci Biobehav Rev 2000
N C Rattenborg, C J Amlaner, S L Lima. Neurosci Biobehav Rev 2000
11
Virtual chimera states for delayed-feedback systems.
Laurent Larger, Bogdan Penkovsky, Yuri Maistrenko. Phys Rev Lett 2013
Laurent Larger, Bogdan Penkovsky, Yuri Maistrenko. Phys Rev Lett 2013
11
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
11
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
Quasientrainment and slow relaxation in a population of oscillators with random and frustrated interactions.
Daido. Phys Rev Lett 1992
Daido. Phys Rev Lett 1992
13
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
23
Chimeras in a network of three oscillator populations with varying network topology.
Erik A Martens. Chaos 2010
Erik A Martens. Chaos 2010
27
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
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.