A citation-based method for searching scientific literature

Bard Ermentrout, Youngmin Park, Dan Wilson. Philos Trans A Math Phys Eng Sci 2019
Times Cited: 8







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



Times Cited
  Times     Co-cited
Similarity


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
29
50

On the concept of dynamical reduction: the case of coupled oscillators.
Yoshiki Kuramoto, Hiroya Nakao. Philos Trans A Math Phys Eng Sci 2019
9
50


Integrability of a globally coupled oscillator array.
Watanabe, Strogatz. Phys Rev Lett 1993
93
37

Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
219
25

Partially coherent twisted states in arrays of coupled phase oscillators.
Oleh E Omel'chenko, Matthias Wolfrum, Carlo R Laing. Chaos 2014
17
25

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
25


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
25

Identical phase oscillators with global sinusoidal coupling evolve by Mobius group action.
Seth A Marvel, Renato E Mirollo, Steven H Strogatz. Chaos 2009
66
25

On the phase reduction and response dynamics of neural oscillator populations.
Eric Brown, Jeff Moehlis, Philip Holmes. Neural Comput 2004
184
25



Numerical phase reduction beyond the first order approximation.
Michael Rosenblum, Arkady Pikovsky. Chaos 2019
9
25

Phase reduction and phase-based optimal control for biological systems: a tutorial.
Bharat Monga, Dan Wilson, Tim Matchen, Jeff Moehlis. Biol Cybern 2019
26
25

Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience.
Peter Ashwin, Stephen Coombes, Rachel Nicks. J Math Neurosci 2016
65
25

Isostable reduction of periodic orbits.
Dan Wilson, Jeff Moehlis. Phys Rev E 2016
20
25



Evolution of cardiorespiratory interactions with age.
D Iatsenko, A Bernjak, T Stankovski, Y Shiogai, P J Owen-Lynch, P B M Clarkson, P V E McClintock, A Stefanovska. Philos Trans A Math Phys Eng Sci 2013
46
12

Bayesian dynamical systems modelling in the social sciences.
Shyam Ranganathan, Viktoria Spaiser, Richard P Mann, David J T Sumpter. PLoS One 2014
15
12


Dynamical effects of breaking rotational symmetry in counter-rotating Stuart-Landau oscillators.
Nirmal Punetha, Vaibhav Varshney, Samir Sahoo, Garima Saxena, Awadhesh Prasad, Ram Ramaswamy. Phys Rev E 2018
3
33

In vivo cardiac phase response curve elucidates human respiratory heart rate variability.
Björn Kralemann, Matthias Frühwirth, Arkady Pikovsky, Michael Rosenblum, Thomas Kenner, Jochen Schaefer, Maximilian Moser. Nat Commun 2013
50
12

Inferring the dynamics of rising radical right-wing party support using Gaussian processes.
Björn R H Blomqvist, David J T Sumpter, Richard P Mann. Philos Trans A Math Phys Eng Sci 2019
1
100


Dynamical disentanglement in an analysis of oscillatory systems: an application to respiratory sinus arrhythmia.
M Rosenblum, M Frühwirth, M Moser, A Pikovsky. Philos Trans A Math Phys Eng Sci 2019
4
25

Nonautonomous driving induces stability in network of identical oscillators.
Maxime Lucas, Duccio Fanelli, Aneta Stefanovska. Phys Rev E 2019
4
25

Structure learning in coupled dynamical systems and dynamic causal modelling.
Amirhossein Jafarian, Peter Zeidman, Vladimir Litvak, Karl Friston. Philos Trans A Math Phys Eng Sci 2019
4
25

A practical method for estimating coupling functions in complex dynamical systems.
Isao T Tokuda, Zoran Levnajic, Kazuyoshi Ishimura. Philos Trans A Math Phys Eng Sci 2019
2
50

Impact of type of intracranial EEG sensors on link strengths of evolving functional brain networks.
Ancor Sanz-Garcia, Thorsten Rings, Klaus Lehnertz. Physiol Meas 2018
6
16

Detecting direction of coupling in interacting oscillators.
M G Rosenblum, A S Pikovsky. Phys Rev E Stat Nonlin Soft Matter Phys 2001
196
12

Determination of a coupling function in multicoupled oscillators.
Jun Miyazaki, Shuichi Kinoshita. Phys Rev Lett 2006
37
12

Coupling functions in climate.
Woosok Moon, John S Wettlaufer. Philos Trans A Math Phys Eng Sci 2019
3
33

Reconstruction of two-dimensional phase dynamics from experiments on coupled oscillators.
Karen A Blaha, Arkady Pikovsky, Michael Rosenblum, Matthew T Clark, Craig G Rusin, John L Hudson. Phys Rev E Stat Nonlin Soft Matter Phys 2011
11
12

Chaos versus noise as drivers of multistability in neural networks.
Patricio Orio, Marilyn Gatica, Rubén Herzog, Jean Paul Maidana, Samy Castro, Kesheng Xu. Chaos 2018
7
14


Clustering in globally coupled oscillators near a Hopf bifurcation: theory and experiments.
Hiroshi Kori, Yoshiki Kuramoto, Swati Jain, István Z Kiss, John L Hudson. Phys Rev E Stat Nonlin Soft Matter Phys 2014
11
12

Coupling in complex systems as information transfer across time scales.
Milan Paluš. Philos Trans A Math Phys Eng Sci 2019
5
20



Inferring phase equations from multivariate time series.
Isao T Tokuda, Swati Jain, István Z Kiss, John L Hudson. Phys Rev Lett 2007
35
12

Inference of time-evolving coupled dynamical systems in the presence of noise.
Tomislav Stankovski, Andrea Duggento, Peter V E McClintock, Aneta Stefanovska. Phys Rev Lett 2012
50
12

Alterations in the coupling functions between cortical and cardio-respiratory oscillations due to anaesthesia with propofol and sevoflurane.
Tomislav Stankovski, Spase Petkoski, Johan Raeder, Andrew F Smith, Peter V E McClintock, Aneta Stefanovska. Philos Trans A Math Phys Eng Sci 2016
31
12

Stable and transient multicluster oscillation death in nonlocally coupled networks.
Isabelle Schneider, Marie Kapeller, Sarah Loos, Anna Zakharova, Bernold Fiedler, Eckehard Schöll. Phys Rev E Stat Nonlin Soft Matter Phys 2015
21
12



Anti-phase collective synchronization with intrinsic in-phase coupling of two groups of electrochemical oscillators.
Michael Sebek, Yoji Kawamura, Ashley M Nott, István Z Kiss. Philos Trans A Math Phys Eng Sci 2019
4
25

State-dependent effective interactions in oscillator networks through coupling functions with dead zones.
Peter Ashwin, Christian Bick, Camille Poignard. Philos Trans A Math Phys Eng Sci 2019
4
25

Synchronization transitions caused by time-varying coupling functions.
Zeray Hagos, Tomislav Stankovski, Julian Newman, Tiago Pereira, Peter V E McClintock, Aneta Stefanovska. Philos Trans A Math Phys Eng Sci 2019
4
25


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.