A citation-based method for searching scientific literature

Numerical Bifurcation Theory for High-Dimensional Neural Models.
Carlo R Laing. J Math Neurosci 2014
Times Cited: 13






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



Times Cited
  Times     Co-cited
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Low dimensional behavior of large systems of globally coupled oscillators.
Edward Ott, Thomas M Antonsen. Chaos 2008
369
9
69

Long time evolution of phase oscillator systems.
Edward Ott, Thomas M Antonsen. Chaos 2009
193
7
53

Complete classification of the macroscopic behavior of a heterogeneous network of theta neurons.
Tanushree B Luke, Ernest Barreto, Paul So. Neural Comput 2013
64
6
46

Dynamics of pattern formation in lateral-inhibition type neural fields.
S Amari. Biol Cybern 1977
638
6
46

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
5
38

Synaptic mechanisms and network dynamics underlying spatial working memory in a cortical network model.
A Compte, N Brunel, P S Goldman-Rakic, X J Wang. Cereb Cortex 2000
605
4
30

Chimera states for coupled oscillators.
Daniel M Abrams, Steven H Strogatz. Phys Rev Lett 2004
479
4
30

Gap junctions destroy persistent states in excitatory networks.
Bard Ermentrout. Phys Rev E Stat Nonlin Soft Matter Phys 2006
18
4
30

Bump attractor dynamics in prefrontal cortex explains behavioral precision in spatial working memory.
Klaus Wimmer, Duane Q Nykamp, Christos Constantinidis, Albert Compte. Nat Neurosci 2014
176
4
30

A spiking neuron model for binocular rivalry.
Carlo R Laing, Carson C Chow. J Comput Neurosci 2002
201
4
30

Chimeras in random non-complete networks of phase oscillators.
Carlo R Laing, Karthikeyan Rajendran, Ioannis G Kevrekidis. Chaos 2012
39
3
23

Stationary bumps in networks of spiking neurons.
C R Laing, C C Chow. Neural Comput 2001
122
3
23

Partially coherent twisted states in arrays of coupled phase oscillators.
Oleh E Omel'chenko, Matthias Wolfrum, Carlo R Laing. Chaos 2014
19
3
23

Waves, bumps, and patterns in neural field theories.
S Coombes. Biol Cybern 2005
166
3
23

Chimera states in coupled Kuramoto oscillators with inertia.
Simona Olmi. Chaos 2015
31
3
23

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
135
3
23

Chimeras in networks of planar oscillators.
Carlo R Laing. Phys Rev E Stat Nonlin Soft Matter Phys 2010
53
3
23

Chimera states in mechanical oscillator networks.
Erik Andreas Martens, Shashi Thutupalli, Antoine Fourrière, Oskar Hallatschek. Proc Natl Acad Sci U S A 2013
217
3
23

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
125
3
23

Nonlinearity of local dynamics promotes multi-chimeras.
Iryna Omelchenko, Anna Zakharova, Philipp Hövel, Julien Siebert, Eckehard Schöll. Chaos 2015
26
3
23

Type I membranes, phase resetting curves, and synchrony.
B Ermentrout. Neural Comput 1996
457
2
15

Turning on and off with excitation: the role of spike-timing asynchrony and synchrony in sustained neural activity.
B S Gutkin, C R Laing, C L Colby, C C Chow, G B Ermentrout. J Comput Neurosci 2001
113
2
15

Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience.
Peter Ashwin, Stephen Coombes, Rachel Nicks. J Math Neurosci 2016
69
2
15

Collective dynamics of 'small-world' networks.
D J Watts, S H Strogatz. Nature 1998
7953
2
15

Synaptic reverberation underlying mnemonic persistent activity.
X J Wang. Trends Neurosci 2001
618
2
15

A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue.
H R Wilson, J D Cowan. Kybernetik 1973
773
2
15

Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: a theory.
K Zhang. J Neurosci 1996
434
2
15

Integrability of a globally coupled oscillator array.
Watanabe, Strogatz. Phys Rev Lett 1993
96
2
15

Clustered chimera states in delay-coupled oscillator systems.
Gautam C Sethia, Abhijit Sen, Fatihcan M Atay. Phys Rev Lett 2008
124
2
15

Neural 'Bubble' Dynamics Revisited.
Paul C Bressloff, Stephen Coombes. Cognit Comput 2013
10
2
20

Large-scale neural dynamics: simple and complex.
S Coombes. Neuroimage 2010
76
2
15

Excitatory and inhibitory interactions in localized populations of model neurons.
H R Wilson, J D Cowan. Biophys J 1972
1339
2
15

Synchrony-induced modes of oscillation of a neural field model.
Jose M Esnaola-Acebes, Alex Roxin, Daniele Avitabile, Ernest Montbrió. Phys Rev E 2017
13
2
15

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
47
2
15

Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
233
2
15

Symmetry breaking in two interacting populations of quadratic integrate-and-fire neurons.
Irmantas Ratas, Kestutis Pyragas. Phys Rev E 2017
8
2
25

Chimera states in heterogeneous networks.
Carlo R Laing. Chaos 2009
101
2
15

Partially integrable dynamics of hierarchical populations of coupled oscillators.
Arkady Pikovsky, Michael Rosenblum. Phys Rev Lett 2008
128
2
15

Chimera states on the surface of a sphere.
Mark J Panaggio, Daniel M Abrams. Phys Rev E Stat Nonlin Soft Matter Phys 2015
29
2
15

Solvable model of spiral wave chimeras.
Erik A Martens, Carlo R Laing, Steven H Strogatz. Phys Rev Lett 2010
111
2
15

Between phase and amplitude oscillators.
Pau Clusella, Antonio Politi. Phys Rev E 2019
7
2
28

Synchronization of two interacting populations of oscillators.
Ernest Montbrió, Jürgen Kurths, Bernd Blasius. Phys Rev E Stat Nonlin Soft Matter Phys 2004
94
2
15

Firing rate distributions in spiking networks with heterogeneous connectivity.
Marina Vegué, Alex Roxin. Phys Rev E 2019
5
2
40

Simultaneous stability and sensitivity in model cortical networks is achieved through anti-correlations between the in- and out-degree of connectivity.
Juan C Vasquez, Arthur R Houweling, Paul Tiesinga. Front Comput Neurosci 2013
9
2
22

Degree Correlations Optimize Neuronal Network Sensitivity to Sub-Threshold Stimuli.
Christian Schmeltzer, Alexandre Hiroaki Kihara, Igor Michailovitsch Sokolov, Sten Rüdiger. PLoS One 2015
13
2
15

Modeling the network dynamics of pulse-coupled neurons.
Sarthak Chandra, David Hathcock, Kimberly Crain, Thomas M Antonsen, Michelle Girvan, Edward Ott. Chaos 2017
14
2
15

Population equations for degree-heterogenous neural networks.
M Kähne, I M Sokolov, S Rüdiger. Phys Rev E 2017
3
2
66

Effect of node-degree correlation on synchronization of identical pulse-coupled oscillators.
M Drew LaMar, Gregory D Smith. Phys Rev E Stat Nonlin Soft Matter Phys 2010
12
2
16

Mean-field equations for neuronal networks with arbitrary degree distributions.
Duane Q Nykamp, Daniel Friedman, Sammy Shaker, Maxwell Shinn, Michael Vella, Albert Compte, Alex Roxin. Phys Rev E 2017
8
2
25

Anti-correlations in the degree distribution increase stimulus detection performance in noisy spiking neural networks.
Marijn B Martens, Arthur R Houweling, Paul H E Tiesinga. J Comput Neurosci 2017
5
2
40


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.

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