Irina V Tyulkina, Denis S Goldobin, Lyudmila S Klimenko, Arkady Pikovsky. Phys Rev Lett 2018
Times Cited: 29
Times Cited: 29
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
86
48
Collective mode reductions for populations of coupled noisy oscillators.
Denis S Goldobin, Irina V Tyulkina, Lyudmila S Klimenko, Arkady Pikovsky. Chaos 2018
Denis S Goldobin, Irina V Tyulkina, Lyudmila S Klimenko, Arkady Pikovsky. Chaos 2018
87
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
34
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
31
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
31
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
31
Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
27
Transition from Asynchronous to Oscillatory Dynamics in Balanced Spiking Networks with Instantaneous Synapses.
Matteo di Volo, Alessandro Torcini. Phys Rev Lett 2018
Matteo di Volo, Alessandro Torcini. Phys Rev Lett 2018
40
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
27
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
20
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
20
Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks.
Federico Devalle, Alex Roxin, Ernest Montbrió. PLoS Comput Biol 2017
Federico Devalle, Alex Roxin, Ernest Montbrió. PLoS Comput Biol 2017
20
Noise-induced macroscopic oscillations in a network of synaptically coupled quadratic integrate-and-fire neurons.
Irmantas Ratas, Kestutis Pyragas. Phys Rev E 2019
Irmantas Ratas, Kestutis Pyragas. Phys Rev E 2019
54
20
Fast global oscillations in networks of integrate-and-fire neurons with low firing rates.
N Brunel, V Hakim. Neural Comput 1999
N Brunel, V Hakim. Neural Comput 1999
17
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
13
Interplay of coupling and common noise at the transition to synchrony in oscillator populations.
Anastasiya V Pimenova, Denis S Goldobin, Michael Rosenblum, Arkady Pikovsky. Sci Rep 2016
Anastasiya V Pimenova, Denis S Goldobin, Michael Rosenblum, Arkady Pikovsky. Sci Rep 2016
21
Approximate solution to the stochastic Kuramoto model.
Bernard Sonnenschein, Lutz Schimansky-Geier. Phys Rev E Stat Nonlin Soft Matter Phys 2013
Bernard Sonnenschein, Lutz Schimansky-Geier. Phys Rev E Stat Nonlin Soft Matter Phys 2013
22
Macroscopic models for networks of coupled biological oscillators.
Kevin M Hannay, Daniel B Forger, Victoria Booth. Sci Adv 2018
Kevin M Hannay, Daniel B Forger, Victoria Booth. Sci Adv 2018
30
Partially coherent twisted states in arrays of coupled phase oscillators.
Oleh E Omel'chenko, Matthias Wolfrum, Carlo R Laing. Chaos 2014
Oleh E Omel'chenko, Matthias Wolfrum, Carlo R Laing. Chaos 2014
21
Ott-Antonsen attractiveness for parameter-dependent oscillatory systems.
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
23
Synchronization of coupled active rotators by common noise.
Anastasiya V Dolmatova, Denis S Goldobin, Arkady Pikovsky. Phys Rev E 2017
Anastasiya V Dolmatova, Denis S Goldobin, Arkady Pikovsky. Phys Rev E 2017
57
Biological rhythms and the behavior of populations of coupled oscillators.
A T Winfree. J Theor Biol 1967
A T Winfree. J Theor Biol 1967
13
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
13
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
13
Macroscopic phase resetting-curves determine oscillatory coherence and signal transfer in inter-coupled neural circuits.
Grégory Dumont, Boris Gutkin. PLoS Comput Biol 2019
Grégory Dumont, Boris Gutkin. PLoS Comput Biol 2019
19
Synchronization scenarios in the Winfree model of coupled oscillators.
Rafael Gallego, Ernest Montbrió, Diego Pazó. Phys Rev E 2017
Rafael Gallego, Ernest Montbrió, Diego Pazó. Phys Rev E 2017
33
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
13
Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons.
N Brunel. J Comput Neurosci 2000
N Brunel. J Comput Neurosci 2000
13
Reduction Methodology for Fluctuation Driven Population Dynamics.
Denis S Goldobin, Matteo di Volo, Alessandro Torcini. Phys Rev Lett 2021
Denis S Goldobin, Matteo di Volo, Alessandro Torcini. Phys Rev Lett 2021
66
Collective dynamics in two populations of noisy oscillators with asymmetric interactions.
Bernard Sonnenschein, Thomas K Dm Peron, Francisco A Rodrigues, Jürgen Kurths, Lutz Schimansky-Geier. Phys Rev E Stat Nonlin Soft Matter Phys 2015
Bernard Sonnenschein, Thomas K Dm Peron, Francisco A Rodrigues, Jürgen Kurths, Lutz Schimansky-Geier. Phys Rev E Stat Nonlin Soft Matter Phys 2015
23
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
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
20
Theory of collective firing induced by noise or diversity in excitable media.
C J Tessone, A Scirè, R Toral, P Colet. Phys Rev E Stat Nonlin Soft Matter Phys 2007
C J Tessone, A Scirè, R Toral, P Colet. Phys Rev E Stat Nonlin Soft Matter Phys 2007
10
Collective oscillations in disordered neural networks.
Simona Olmi, Roberto Livi, Antonio Politi, Alessandro Torcini. Phys Rev E Stat Nonlin Soft Matter Phys 2010
Simona Olmi, Roberto Livi, Antonio Politi, Alessandro Torcini. Phys Rev E Stat Nonlin Soft Matter Phys 2010
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
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
10
Two scenarios for the onset and suppression of collective oscillations in heterogeneous populations of active rotators.
Vladimir Klinshov, Igor Franović. Phys Rev E 2019
Vladimir Klinshov, Igor Franović. Phys Rev E 2019
60
The asymptotic behavior of the order parameter for the infinite-N Kuramoto model.
Renato E Mirollo. Chaos 2012
Renato E Mirollo. Chaos 2012
17
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
The effects of within-neuron degree correlations in networks of spiking neurons.
Carlo R Laing, Christian Bläsche. Biol Cybern 2020
Carlo R Laing, Christian Bläsche. Biol Cybern 2020
60
Chaos in neuronal networks with balanced excitatory and inhibitory activity.
C van Vreeswijk, H Sompolinsky. Science 1996
C van Vreeswijk, H Sompolinsky. Science 1996
10
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
12
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
10
Exact firing rate model reveals the differential effects of chemical versus electrical synapses in spiking networks.
Bastian Pietras, Federico Devalle, Alex Roxin, Andreas Daffertshofer, Ernest Montbrió. Phys Rev E 2019
Bastian Pietras, Federico Devalle, Alex Roxin, Andreas Daffertshofer, Ernest Montbrió. Phys Rev E 2019
23
Macroscopic phase-resetting curves for spiking neural networks.
Grégory Dumont, G Bard Ermentrout, Boris Gutkin. Phys Rev E 2017
Grégory Dumont, G Bard Ermentrout, Boris Gutkin. Phys Rev E 2017
23
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
10
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.