A citation-based method for searching scientific literature

Christian Bick, Marc Goodfellow, Carlo R Laing, Erik A Martens. J Math Neurosci 2020
Times Cited: 28







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



Times Cited
  Times     Co-cited
Similarity



Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
218
25

Integrability of a globally coupled oscillator array.
Watanabe, Strogatz. Phys Rev Lett 1993
92
21

Generative models of cortical oscillations: neurobiological implications of the kuramoto model.
Michael Breakspear, Stewart Heitmann, Andreas Daffertshofer. Front Hum Neurosci 2010
173
17



Chimera states in two populations with heterogeneous phase-lag.
Erik A Martens, Christian Bick, Mark J Panaggio. Chaos 2016
20
25

First-order synchronization transition in a large population of strongly coupled relaxation oscillators.
Dumitru Călugăru, Jan Frederik Totz, Erik A Martens, Harald Engel. Sci Adv 2020
6
83


On the phase reduction and response dynamics of neural oscillator populations.
Eric Brown, Jeff Moehlis, Philip Holmes. Neural Comput 2004
183
14

Stimulating at the right time: phase-specific deep brain stimulation.
Hayriye Cagnan, David Pedrosa, Simon Little, Alek Pogosyan, Binith Cheeran, Tipu Aziz, Alexander Green, James Fitzgerald, Thomas Foltynie, Patricia Limousin,[...]. Brain 2017
93
14

Adaptive deep brain stimulation in advanced Parkinson disease.
Simon Little, Alex Pogosyan, Spencer Neal, Baltazar Zavala, Ludvic Zrinzo, Marwan Hariz, Thomas Foltynie, Patricia Limousin, Keyoumars Ashkan, James FitzGerald,[...]. Ann Neurol 2013
517
14

Derivation of a neural field model from a network of theta neurons.
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2014
46
14

The oscillating central network of Essential tremor.
Jan Raethjen, Günther Deuschl. Clin Neurophysiol 2012
90
14

Recent advances in coupled oscillator theory.
Bard Ermentrout, Youngmin Park, Dan Wilson. Philos Trans A Math Phys Eng Sci 2019
8
50

Predicting the effects of deep brain stimulation using a reduced coupled oscillator model.
Gihan Weerasinghe, Benoit Duchet, Hayriye Cagnan, Peter Brown, Christian Bick, Rafal Bogacz. PLoS Comput Biol 2019
9
44

Network mechanisms underlying the role of oscillations in cognitive tasks.
Helmut Schmidt, Daniele Avitabile, Ernest Montbrió, Alex Roxin. PLoS Comput Biol 2018
20
20

All together now: Analogies between chimera state collapses and epileptic seizures.
Ralph G Andrzejak, Christian Rummel, Florian Mormann, Kaspar Schindler. Sci Rep 2016
41
14

Thermodynamic limit of the first-order phase transition in the Kuramoto model.
Diego Pazó. Phys Rev E Stat Nonlin Soft Matter Phys 2005
74
14

Long time evolution of phase oscillator systems.
Edward Ott, Thomas M Antonsen. Chaos 2009
182
14

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
97
14

Identical phase oscillators with global sinusoidal coupling evolve by Mobius group action.
Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
65
14

Self-organized synchronization in decentralized power grids.
Martin Rohden, Andreas Sorge, Marc Timme, Dirk Witthaut. Phys Rev Lett 2012
115
10

Phasic Burst Stimulation: A Closed-Loop Approach to Tuning Deep Brain Stimulation Parameters for Parkinson's Disease.
Abbey B Holt, Dan Wilson, Max Shinn, Jeff Moehlis, Theoden I Netoff. PLoS Comput Biol 2016
37
10



Phase dependent modulation of tremor amplitude in essential tremor through thalamic stimulation.
Hayriye Cagnan, John-Stuart Brittain, Simon Little, Thomas Foltynie, Patricia Limousin, Ludvic Zrinzo, Marwan Hariz, Carole Joint, James Fitzgerald, Alexander L Green,[...]. Brain 2013
53
10


Synchronized brain network associated with essential tremor as revealed by magnetoencephalography.
Alfons Schnitzler, Christian Münks, Markus Butz, Lars Timmermann, Joachim Gross. Mov Disord 2009
157
10

Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience.
Peter Ashwin, Stephen Coombes, Rachel Nicks. J Math Neurosci 2016
64
10

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
90
10

A Network Model of Local Field Potential Activity in Essential Tremor and the Impact of Deep Brain Stimulation.
Nada Yousif, Michael Mace, Nicola Pavese, Roman Borisyuk, Dipankar Nandi, Peter Bain. PLoS Comput Biol 2017
11
27

Phase-Dependent Suppression of Beta Oscillations in Parkinson's Disease Patients.
Abbey B Holt, Eszter Kormann, Alessandro Gulberti, Monika Pötter-Nerger, Colin G McNamara, Hayriye Cagnan, Magdalena K Baaske, Simon Little, Johannes A Köppen, Carsten Buhmann,[...]. J Neurosci 2019
26
11

Birth and Stabilization of Phase Clusters by Multiplexing of Adaptive Networks.
Rico Berner, Jakub Sawicki, Eckehard Schöll. Phys Rev Lett 2020
12
25

Bistable chimera attractors on a triangular network of oscillator populations.
Erik A Martens. Phys Rev E Stat Nonlin Soft Matter Phys 2010
43
10

Chaos in Kuramoto oscillator networks.
Christian Bick, Mark J Panaggio, Erik A Martens. Chaos 2018
17
17

Nonuniversal transitions to synchrony in the Sakaguchi-Kuramoto model.
Oleh E Omel'chenko, Matthias Wolfrum. Phys Rev Lett 2012
45
10

Existence of hysteresis in the Kuramoto model with bimodal frequency distributions.
Diego Pazó, Ernest Montbrió. Phys Rev E Stat Nonlin Soft Matter Phys 2009
34
10

Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
66
10




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
112
10




Firing rate models for gamma oscillations.
Stephen Keeley, Áine Byrne, André Fenton, John Rinzel. J Neurophysiol 2019
8
37

Solitary states for coupled oscillators with inertia.
Patrycja Jaros, Serhiy Brezetsky, Roman Levchenko, Dawid Dudkowski, Tomasz Kapitaniak, Yuri Maistrenko. Chaos 2018
20
15

Oscillators that sync and swarm.
Kevin P O'Keeffe, Hyunsuk Hong, Steven H Strogatz. Nat Commun 2017
37
10

Dynamics of Noisy Oscillator Populations beyond the Ott-Antonsen Ansatz.
Irina V Tyulkina, Denis S Goldobin, Lyudmila S Klimenko, Arkady Pikovsky. Phys Rev Lett 2018
24
12


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.