A citation-based method for searching scientific literature

Irina V Tyulkina, Denis S Goldobin, Lyudmila S Klimenko, Arkady Pikovsky. Phys Rev Lett 2018
Times Cited: 29







List of co-cited articles
140 articles co-cited >1



Times Cited
  Times     Co-cited
Similarity



Long time evolution of phase oscillator systems.
Edward Ott, Thomas M Antonsen. Chaos 2009
197
48

Collective mode reductions for populations of coupled noisy oscillators.
Denis S Goldobin, Irina V Tyulkina, Lyudmila S Klimenko, Arkady Pikovsky. Chaos 2018
16
87



Derivation of a neural field model from a network of theta neurons.
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2014
50
31

Identical phase oscillators with global sinusoidal coupling evolve by Mobius group action.
Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
69
31

Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
79
27


Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
234
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
108
20




Integrability of a globally coupled oscillator array.
Watanabe, Strogatz. Phys Rev Lett 1993
98
20


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
34
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
19
21

Approximate solution to the stochastic Kuramoto model.
Bernard Sonnenschein, Lutz Schimansky-Geier. Phys Rev E Stat Nonlin Soft Matter Phys 2013
18
22

Macroscopic models for networks of coupled biological oscillators.
Kevin M Hannay, Daniel B Forger, Victoria Booth. Sci Adv 2018
13
30

Partially coherent twisted states in arrays of coupled phase oscillators.
Oleh E Omel'chenko, Matthias Wolfrum, Carlo R Laing. Chaos 2014
19
21

Ott-Antonsen attractiveness for parameter-dependent oscillatory systems.
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
17
23

Synchronization of coupled active rotators by common noise.
Anastasiya V Dolmatova, Denis S Goldobin, Arkady Pikovsky. Phys Rev E 2017
7
57


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
33
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
57
13


Synchronization scenarios in the Winfree model of coupled oscillators.
Rafael Gallego, Ernest Montbrió, Diego Pazó. Phys Rev E 2017
12
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
39
13


Reduction Methodology for Fluctuation Driven Population Dynamics.
Denis S Goldobin, Matteo di Volo, Alessandro Torcini. Phys Rev Lett 2021
6
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
13
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
65
10

Macroscopic complexity from an autonomous network of networks of theta neurons.
Tanushree B Luke, Ernest Barreto, Paul So. Front Comput Neurosci 2014
15
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
37
10

Collective oscillations in disordered neural networks.
Simona Olmi, Roberto Livi, Antonio Politi, Alessandro Torcini. Phys Rev E Stat Nonlin Soft Matter Phys 2010
29
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
40
10

Generative models of cortical oscillations: neurobiological implications of the kuramoto model.
Michael Breakspear, Stewart Heitmann, Andreas Daffertshofer. Front Hum Neurosci 2010
195
10


The Dynamics of Networks of Identical Theta Neurons.
Carlo R Laing. J Math Neurosci 2018
9
33


Invariant submanifold for series arrays of Josephson junctions.
Seth A Marvel, Steven H Strogatz. Chaos 2009
40
10



Chimera states in two populations with heterogeneous phase-lag.
Erik A Martens, Christian Bick, Mark J Panaggio. Chaos 2016
25
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
37
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
13
23

Moving bumps in theta neuron networks.
Carlo R Laing, Oleh Omel'chenko. Chaos 2020
7
42

Macroscopic phase-resetting curves for spiking neural networks.
Grégory Dumont, G Bard Ermentrout, Boris Gutkin. Phys Rev E 2017
13
23

Chimeras in random non-complete networks of phase oscillators.
Carlo R Laing, Karthikeyan Rajendran, Ioannis G Kevrekidis. Chaos 2012
39
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.