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The Journal of Mathematical Neuroscience

Short Title: J. Math. Neurosci.
Publisher: Springer (SpringerOpen), Berlin/Heidelberg
ISSN: 2190-8567/e
Online: https://link.springer.com/journal/13408/volumes-and-issues
https://mathematical-neuroscience.springeropen.com
Comments: Journal; No longer indexed; Published electronic only as of Vol. 1 (2011). This journal is available open access.
Documents Indexed: 158 Publications (2011–2021)
References Indexed: 150 Publications with 6,720 References.
all top 5

Authors

8 Coombes, Stephen
8 Faugeras, Olivier D.
6 Laing, Carlo R.
5 Ashwin, Peter
5 Bressloff, Paul C.
5 Longtin, André
4 Kopell, Nancy J.
4 Rubin, Jonathan E.
4 Timofeeva, Yulia
4 van Gils, Stephan A.
4 Wechselberger, Martin
3 Barreiro, Andrea K.
3 Chossat, Pascal
3 Diekman, Casey O.
3 Naud, Richard
3 Rankin, James
2 Afgoustidis, Alexandre
2 Berthouze, Luc
2 Bick, Christian
2 Bojak, Ingo
2 Borisyuk, Roman M.
2 Buckwar, Evelyn
2 Cessac, Bruno
2 Citti, Giovanna
2 Cowan, Jack D.
2 Dahlem, Markus A.
2 Ditlevsen, Susanne
2 Fasoli, Diego
2 Ferrario, Andrea
2 Golubitsky, Martin A.
2 Goodfellow, Marc
2 Hartley, Caroline
2 Huguet, Gemma
2 Hutt, Axel
2 Kevrekidis, Ioannis George
2 Kiss, István Z.
2 Krupa, Maciej
2 Kuznetsov, Yuri Alexandrovich
2 Lazar, Aurel A.
2 Lindner, Benjamin
2 Ly, Cheng
2 McCarthy, Michelle M.
2 Meijer, Hil G. E.
2 Merrison-Hort, Robert
2 Neuman, Jeremy F.
2 Nielsen, Bjørn Fredrik
2 Osinga, Hinke Maria
2 Perthame, Benoît
2 Riedler, Martin Georg
2 Rosenbaum, Robert
2 Rotstein, Horacio G.
2 Sarti, Alessandro
2 Shilnikov, Andrey L.
2 Stannat, Wilhelm
2 Taylor, Timothy J.
2 Thomas, Peter J.
2 Thul, Rüdiger
2 Tsaneva-Atanasova, Krasimira T.
2 Ukani, Nikul H.
2 Van Drongelen, Wim
2 van Putten, Michel J. A. M.
2 Veltz, Romain
2 Vidal, Alexandre
2 Vo, Theodore
2 Wedgwood, Kyle C. A.
2 Wyller, John A.
2 Yu, Na
2 Zhou, Yiyin
1 Ableidinger, Markus
1 Akcay, Zeynep
1 Al-Darabsah, Isam
1 Alleysson, David
1 Alswaihli, Jehan
1 Anselmi, Fabio
1 Avitabile, Daniele
1 Baghdadi, Golnaz
1 Bailey, James M.
1 Baladron, Javier
1 Barbieri, Davide Francesco
1 Barrio, Roberto
1 Barry, Anna M.
1 Baspinar, Emre
1 Benali, Habib
1 Benjamin, Oscar
1 Benner, Peter
1 Bernard, Christophe P.
1 Berry, Hugues
1 Berthier, Michel
1 Bertram, Richard
1 Blom, Joke G.
1 Bogacz, Rafal
1 Bonilla-Quintana, Mayte
1 Börgers, Christoph
1 Boscain, Ugo
1 Bose, Amitabha
1 Bossy, Mireille
1 Brand, Samuel P. C.
1 Breit, Markus
1 Britz, Juliane
1 Buice, Michael A.
...and 238 more Authors

Publications by Year

Citations contained in zbMATH Open

122 Publications have been cited 940 times in 706 Documents Cited by Year
Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons. Zbl 1322.60205
Baladron, Javier; Fasoli, Diego; Faugeras, Olivier; Touboul, Jonathan
72
2012
Mathematical frameworks for oscillatory network dynamics in neuroscience. Zbl 1356.92015
Ashwin, Peter; Coombes, Stephen; Nicks, Rachel
64
2016
Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198
Cáceres, María J.; Carrillo, José A.; Perthame, Benoît
55
2011
Goodness-of-fit tests and nonparametric adaptive estimation for spike train analysis. Zbl 1321.92047
Reynaud-Bouret, Patricia; Rivoirard, Vincent; Grammont, Franck; Tuleau-Malot, Christine
38
2014
Phase-amplitude descriptions of neural oscillator models. Zbl 1291.92052
Wedgwood, Kyle C. A.; Lin, Kevin K.; Thul, Ruediger; Coombes, Stephen
34
2013
Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation. Zbl 1333.92009
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine
30
2014
Clarification and complement to “Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and Fitzhugh-Nagumo neurons”. Zbl 1361.92014
Bossy, Mireille; Faugeras, Olivier; Talay, Denis
29
2015
Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review. Zbl 1448.92011
Bick, Christian; Goodfellow, Marc; Laing, Carlo R.; Martens, Erik A.
26
2020
Phase-amplitude response functions for transient-state stimuli. Zbl 1291.92026
Castejón, Oriol; Guillamon, Antoni; Huguet, Gemma
25
2013
Interface dynamics in planar neural field models. Zbl 1291.92028
Coombes, Stephen; Schmidt, Helmut; Bojak, Ingo
23
2012
Neural excitability and singular bifurcations. Zbl 1357.92019
de Maesschalck, Peter; Wechselberger, Martin
21
2015
A showcase of torus canards in neuronal bursters. Zbl 1291.92025
Burke, John; Desroches, Mathieu; Barry, Anna M.; Kaper, Tasso J.; Kramer, Mark A.
20
2012
Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model. Zbl 1259.37055
Barrio, Roberto; Shilnikov, Andrey
20
2011
Stability of the stationary solutions of neural field equations with propagation delays. Zbl 1259.92010
Veltz, Romain; Faugeras, Olivier
19
2011
Dynamical systems analysis of spike-adding mechanisms in transient bursts. Zbl 1291.92043
Nowacki, Jakub; Osinga, Hinke M.; Tsaneva-Atanasova, Krasimira
18
2012
Excitable neurons, firing threshold manifolds and canards. Zbl 1321.92046
Mitry, John; McCarthy, Michelle; Kopell, Nancy; Wechselberger, Martin
18
2013
Large deviations for nonlocal stochastic neural fields. Zbl 1291.92038
Kuehn, Christian; Riedler, Martin G.
17
2014
Path integral methods for stochastic differential equations. Zbl 1357.92009
Chow, Carson C.; Buice, Michael A.
13
2015
Frequency preference response to oscillatory inputs in two-dimensional neural models: a geometric approach to subthreshold amplitude and phase resonance. Zbl 1291.92045
Rotstein, Horacio G.
13
2014
Criteria for robustness of heteroclinic cycles in neural microcircuits. Zbl 1259.37054
Ashwin, Peter; Karabacak, Özkan; Nowotny, Thomas
13
2011
Fokker-Planck and Fortet equation-based parameter estimation for a leaky integrate-and-fire model with sinusoidal and stochastic forcing. Zbl 1431.92011
Iolov, Alexandre; Ditlevsen, Susanne; Longtin, André
12
2014
Derived patterns in binocular rivalry networks. Zbl 1291.92032
Diekman, Casey O.; Golubitsky, Martin; Wang, Yunjiao
11
2013
The dynamics underlying pseudo-plateau bursting in a pituitary cell model. Zbl 1259.37063
Teka, Wondimu; Tabak, Joël; Vo, Theodore; Wechselberger, Martin; Bertram, Richard
11
2011
A phenomenological model of seizure initiation suggests network structure may explain seizure frequency in idiopathic generalised epilepsy. Zbl 1291.92022
Benjamin, Oscar; Fitzgerald, Thomas H. B.; Ashwin, Peter; Tsaneva-Atanasova, Krasimira; Chowdhury, Fahmida; Richardson, Mark P.; Terry, John R.
10
2012
Numerical bifurcation theory for high-dimensional neural models. Zbl 1333.92018
Laing, Carlo R.
10
2014
Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. Zbl 1361.92005
Bressloff, Paul C.
9
2015
Multiscale analysis of slow-fast neuronal learning models with noise. Zbl 1291.60119
Galtier, Mathieu; Wainrib, Gilles
9
2012
Laws of large numbers and Langevin approximations for stochastic neural field equations. Zbl 1295.60030
Riedler, Martin G.; Buckwar, Evelyn
9
2013
Network symmetry and binocular rivalry experiments. Zbl 1321.92044
Diekman, Casey O.; Golubitsky, Martin
9
2014
A stochastic version of the jansen and rit neural mass model: analysis and numerics. Zbl 1395.92027
Ableidinger, Markus; Buckwar, Evelyn; Hinterleitner, Harald
8
2017
The dynamics of networks of identical theta neurons. Zbl 1395.92040
Laing, Carlo R.
8
2018
Saddle slow manifolds and canard orbits in \(\mathbb{R}^{4}\) and application to the full Hodgkin-Huxley model. Zbl 1395.92038
Hasan, Cris R.; Krauskopf, Bernd; Osinga, Hinke M.
8
2018
Analysis of a hyperbolic geometric model for visual texture perception. Zbl 1259.92007
Faye, Gregory; Chossat, Pascal; Faugeras, Olivier
8
2011
Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise. Zbl 1259.92004
Bressloff, Paul C; Lai, Yi Ming
7
2011
Diffusion laws in dendritic spines. Zbl 1259.92008
Holcman, David; Schuss, Zeev
7
2011
Spontaneous voltage oscillations and response dynamics of a Hodgkin-Huxley type model of sensory hair cells. Zbl 1259.92009
Neiman, Alexander B; Dierkes, Kai; Lindner, Benjamin; Han, Lijuan; Shilnikov, Andrey L
7
2011
Geometry of color perception. I: Structures and metrics of a homogeneous color space. Zbl 1442.91078
Provenzi, Edoardo
7
2020
Geometry of color perception. II: Perceived colors from real quantum states and Hering’s rebit. Zbl 1448.91233
Berthier, M.
7
2020
Wilson-Cowan equations for neocortical dynamics. Zbl 1356.92016
Cowan, Jack D.; Neuman, Jeremy; van Drongelen, Wim
6
2016
Neural field models with threshold noise. Zbl 1356.92021
Thul, Rüdiger; Coombes, Stephen; Laing, Carlo R.
6
2016
Modeling focal epileptic activity in the Wilson-cowan model with depolarization block. Zbl 1357.92013
Meijer, Hil G. E.; Eissa, Tahra L.; Kiewiet, Bert; Neuman, Jeremy F.; Schevon, Catherine A.; Emerson, Ronald G.; Goodman, Robert R.; McKhann, Guy M.; Marcuccilli, Charles J.; Tryba, Andrew K.; Cowan, Jack D.; van Gils, Stephan A.; van Drongelen, Wim
6
2015
From invasion to extinction in heterogeneous neural fields. Zbl 1291.92024
Bressloff, Paul C.
6
2012
Data assimilation methods for neuronal state and parameter estimation. Zbl 1405.92050
Moye, Matthew J.; Diekman, Casey O.
6
2018
Fast-slow bursters in the unfolding of a high codimension singularity and the ultra-slow transitions of classes. Zbl 1395.92046
Saggio, Maria Luisa; Spiegler, Andreas; Bernard, Christophe; Jirsa, Viktor K.
5
2017
A formalism for evaluating analytically the cross-correlation structure of a firing-rate network model. Zbl 1357.92011
Fasoli, Diego; Faugeras, Olivier; Panzeri, Stefano
5
2015
Entrainment ranges for chains of forced neural and phase oscillators. Zbl 1360.92029
Massarelli, Nicole; Clapp, Geoffrey; Hoffman, Kathleen; Kiemel, Tim
5
2016
Computational convergence of the path integral for real dendritic morphologies. Zbl 1291.92027
Caudron, Quentin; Donnelly, Simon R.; Brand, Samuel P. C.; Timofeeva, Yulia
5
2012
A network model of the periodic synchronization process in the dynamics of calcium concentration in GnRH neurons. Zbl 1291.92037
Krupa, Maciej; Vidal, Alexandre; Clément, Frédérique
5
2013
Measuring edge importance: a quantitative analysis of the stochastic shielding approximation for random processes on graphs. Zbl 1291.92047
Schmidt, Deena R.; Thomas, Peter J.
5
2014
Bifurcations of limit cycles in a reduced model of the Xenopus tadpole central pattern generator. Zbl 1405.92043
Ferrario, Andrea; Merrison-Hort, Robert; Soffe, Stephen R.; Li, Wen-Chang; Borisyuk, Roman
5
2018
Data-driven inference for stationary jump-diffusion processes with application to membrane voltage fluctuations in pyramidal neurons. Zbl 1439.92049
Melanson, Alexandre; Longtin, André
4
2019
Phase-dependence of response curves to deep brain stimulation and their relationship: from essential tremor patient data to a Wilson-Cowan model. Zbl 1443.92047
Duchet, Benoit; Weerasinghe, Gihan; Cagnan, Hayriye; Brown, Peter; Bick, Christian; Bogacz, Rafal
4
2020
Coarse-grained clustering dynamics of heterogeneously coupled neurons. Zbl 1356.92020
Moon, Sung Joon; Cook, Katherine A.; Rajendran, Karthikeyan; Kevrekidis, Ioannis G.; Cisternas, Jaime; Laing, Carlo R.
4
2015
On the effects on cortical spontaneous activity of the symmetries of the network of pinwheels in visual area V1. Zbl 1357.92016
Veltz, Romain; Chossat, Pascal; Faugeras, Olivier
4
2015
Extensive four-dimensional chaos in a mesoscopic model of the electroencephalogram. Zbl 1357.92040
Dafilis, Mathew P.; Frascoli, Federico; Cadusch, Peter J.; Liley, David T. J.
4
2015
Managing heterogeneity in the study of neural oscillator dynamics. Zbl 1291.92039
Laing, Carlo R.; Zou, Yu; Smith, Ben; Kevrekidis, Ioannis G.
4
2012
Explicit maps to predict activation order in multiphase rhythms of a coupled cell network. Zbl 1291.92046
Rubin, Jonathan E.; Terman, David
4
2012
Identification of criticality in neuronal avalanches. I: A theoretical investigation of the non-driven case. Zbl 1291.92049
Taylor, Timothy J.; Hartley, Caroline; Simon, Péter L.; Kiss, Istvan Z.; Berthouze, Luc
4
2013
Statistics of spike trains in conductance-based neural networks: rigorous results. Zbl 1259.92006
Cessac, Bruno
4
2011
Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales. Zbl 1259.92003
Zhang, Wenjun; Kirk, Vivien; Sneyd, James; Wechselberger, Martin
4
2011
A bio-inspired geometric model for sound reconstruction. Zbl 1467.92013
Boscain, Ugo; Prandi, Dario; Sacchelli, Ludovic; Turco, Giuseppina
4
2021
The dynamics of neural fields on bounded domains: an interface approach for Dirichlet boundary conditions. Zbl 1395.92036
Gökçe, Aytül; Avitabile, Daniele; Coombes, Stephen
3
2017
Investigating the correlation-firing rate relationship in heterogeneous recurrent networks. Zbl 1395.92030
Barreiro, Andrea K.; Ly, Cheng
3
2018
What is required for neuronal calcium waves? A numerical parameter study. Zbl 1395.92034
Breit, Markus; Queisser, Gillian
3
2018
Mesoscopic population equations for spiking neural networks with synaptic short-term plasticity. Zbl 1443.92050
Schmutz, Valentin; Gerstner, Wulfram; Schwalger, Tilo
3
2020
Greedy low-rank algorithm for spatial connectome regression. Zbl 1437.92005
Kürschner, Patrick; Dolgov, Sergey; Harris, Kameron Decker; Benner, Peter
3
2019
Monochromaticity of orientation maps in V1 implies minimum variance for hypercolumn size. Zbl 1361.92013
Afgoustidis, Alexandre
3
2015
Orientation maps in V1 and non-Euclidean geometry. Zbl 1357.92008
Afgoustidis, Alexandre
3
2015
Ill-posed point neuron models. Zbl 1360.92030
Nielsen, Bjørn Fredrik; Wyller, John
3
2016
Analysis of stability and bifurcations of fixed points and periodic solutions of a lumped model of neocortex with two delays. Zbl 1291.92051
Visser, Sid; Meijer, Hil G. E.; van Putten, Michel J. A. M.; van Gils, Stephan A.
3
2012
Distributed nonlocal feedback delays May destabilize fronts in neural fields, distributed transmission delays do not. Zbl 1291.92036
Hutt, Axel; Zhang, Linghai
3
2013
Mechanisms of intermittent state transitions in a coupled heterogeneous oscillator model of epilepsy. Zbl 1291.92035
Goodfellow, Marc; Glendinning, Paul
3
2013
Gap junctions, dendrites and resonances: a recipe for tuning network dynamics. Zbl 1291.92050
Timofeeva, Yulia; Coombes, Stephen; Michieletto, Davide
3
2013
Stochastic hybrid systems in cellular neuroscience. Zbl 1405.92037
Bressloff, Paul C.; Maclaurin, James N.
3
2018
Tailoring inputs to achieve maximal neuronal firing. Zbl 1259.92011
Wang, Jiaoyan; Costello, Willie; Rubin, Jonathan E.
3
2011
How adaptation makes low firing rates robust. Zbl 1395.92047
Sherman, Arthur S.; Ha, Joon
2
2017
Robust exponential memory in Hopfield networks. Zbl 1395.92010
Hillar, Christopher J.; Tran, Ngoc M.
2
2018
Effect of neuromodulation of short-term plasticity on information processing in hippocampal interneuron synapses. Zbl 1395.92032
Bayat Mokhtari, Elham; Lawrence, J. Josh; Stone, Emily F.
2
2018
The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability. Zbl 1439.92051
Pérez-Cervera, Alberto; Ashwin, Peter; Huguet, Gemma; Seara, Tere M.; Rankin, James
2
2019
Correction to: “Linking demyelination to compound action potential dispersion with a spike-diffuse-spike approach”. Zbl 1441.92009
Naud, Richard; Longtin, André
2
2019
A simple mechanism for beyond-pairwise correlations in integrate-and-fire neurons. Zbl 1356.92019
Leen, David A.; Shea-Brown, Eric
2
2015
Shifting spike times or adding and deleting spikes – how different types of noise shape signal transmission in neural populations. Zbl 1356.92024
Voronenko, Sergej O.; Stannat, Wilhelm; Lindner, Benjamin
2
2015
Conditions for multi-functionality in a rhythm generating network inspired by turtle scratching. Zbl 1351.92011
Snyder, Abigail C.; Rubin, Jonathan E.
2
2015
Stability of the splay state in networks of pulse-coupled neurons. Zbl 1291.92044
Olmi, Simona; Politi, Antonio; Torcini, Alessandro
2
2012
Predicted selective increase of cortical magnification due to cortical folding. Zbl 1291.92030
Dahlem, Markus A.; Tusch, Jan
2
2012
Transient localized wave patterns and their application to migraine. Zbl 1291.92029
Dahlem, Markus A.; Isele, Thomas M.
2
2013
Effects of synaptic plasticity on phase and period locking in a network of two oscillatory neurons. Zbl 1291.92019
Akcay, Zeynep; Bose, Amitabha; Nadim, Farzan
2
2014
Cross-correlations and joint gaussianity in multivariate level crossing models. Zbl 1291.92031
Di Bernardino, Elena; León, José; Tchumatchenko, Tatjana
2
2014
How uncertainty bounds the shape index of simple cells. Zbl 1291.92021
Barbieri, D.; Citti, G.; Sarti, A.
2
2014
A density model for a population of theta neurons. Zbl 1291.92033
Dumont, Grégory; Henry, Jacques; Tarniceriu, Carmen
2
2014
Stable control of firing rate mean and variance by dual homeostatic mechanisms. Zbl 1405.92038
Cannon, Jonathan; Miller, Paul
2
2017
A sub-Riemannian model of the visual cortex with frequency and phase. Zbl 1470.92019
Baspinar, E.; Sarti, A.; Citti, G.
2
2020
Timescales and mechanisms of sigh-like bursting and spiking in models of rhythmic respiratory neurons. Zbl 1395.92048
Wang, Yangyang; Rubin, Jonathan E.
1
2017
Finite-size effects on traveling wave solutions to neural field equations. Zbl 1395.92041
Lang, Eva; Stannat, Wilhelm
1
2017
Regularization of ill-posed point neuron models. Zbl 1395.92044
Nielsen, Bjørn Fredrik
1
2017
An analysis of waves underlying grid cell firing in the medial enthorinal cortex. Zbl 1395.92033
Bonilla-Quintana, Mayte; Wedgwood, Kyle C. A.; O’Dea, Reuben D.; Coombes, Stephen
1
2017
Symmetries constrain dynamics in a family of balanced neural networks. Zbl 1395.92029
Barreiro, Andrea K.; Kutz, J. Nathan; Shlizerman, Eli
1
2017
Fundamental limits of forced asynchronous spiking with integrate and fire dynamics. Zbl 1397.92118
Nandi, Anirban; Schättler, Heinz; Ritt, Jason T.; Ching, ShiNung
1
2017
Sparse functional identification of complex cells from spike times and the decoding of visual stimuli. Zbl 1395.92042
Lazar, Aurel A.; Ukani, Nikul H.; Zhou, Yiyin
1
2018
Kernel reconstruction for delayed neural field equations. Zbl 1395.92028
Alswaihli, Jehan; Potthast, Roland; Bojak, Ingo; Saddy, Douglas; Hutt, Axel
1
2018
A bio-inspired geometric model for sound reconstruction. Zbl 1467.92013
Boscain, Ugo; Prandi, Dario; Sacchelli, Ludovic; Turco, Giuseppina
4
2021
A model of on/off transitions in neurons of the deep cerebellar nuclei: deciphering the underlying ionic mechanisms. Zbl 1467.92012
Berry, Hugues; Genet, Stéphane
1
2021
Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review. Zbl 1448.92011
Bick, Christian; Goodfellow, Marc; Laing, Carlo R.; Martens, Erik A.
26
2020
Geometry of color perception. I: Structures and metrics of a homogeneous color space. Zbl 1442.91078
Provenzi, Edoardo
7
2020
Geometry of color perception. II: Perceived colors from real quantum states and Hering’s rebit. Zbl 1448.91233
Berthier, M.
7
2020
Phase-dependence of response curves to deep brain stimulation and their relationship: from essential tremor patient data to a Wilson-Cowan model. Zbl 1443.92047
Duchet, Benoit; Weerasinghe, Gihan; Cagnan, Hayriye; Brown, Peter; Bick, Christian; Bogacz, Rafal
4
2020
Mesoscopic population equations for spiking neural networks with synaptic short-term plasticity. Zbl 1443.92050
Schmutz, Valentin; Gerstner, Wulfram; Schwalger, Tilo
3
2020
A sub-Riemannian model of the visual cortex with frequency and phase. Zbl 1470.92019
Baspinar, E.; Sarti, A.; Citti, G.
2
2020
Methods to assess binocular rivalry with periodic stimuli. Zbl 1444.92011
Darki, Farzaneh; Rankin, James
1
2020
Synchronization and resilience in the Kuramoto white matter network model with adaptive state-dependent delays. Zbl 1448.92022
Park, Seong Hyun; Lefebvre, Jérémie
1
2020
Neural field models with transmission delays and diffusion. Zbl 1475.92020
Spek, Len; Kuznetsov, Yuri A.; van Gils, Stephan A.
1
2020
Data-driven inference for stationary jump-diffusion processes with application to membrane voltage fluctuations in pyramidal neurons. Zbl 1439.92049
Melanson, Alexandre; Longtin, André
4
2019
Greedy low-rank algorithm for spatial connectome regression. Zbl 1437.92005
Kürschner, Patrick; Dolgov, Sergey; Harris, Kameron Decker; Benner, Peter
3
2019
The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability. Zbl 1439.92051
Pérez-Cervera, Alberto; Ashwin, Peter; Huguet, Gemma; Seara, Tere M.; Rankin, James
2
2019
Correction to: “Linking demyelination to compound action potential dispersion with a spike-diffuse-spike approach”. Zbl 1441.92009
Naud, Richard; Longtin, André
2
2019
A modified Hodgkin-Huxley model to show the effect of motor cortex stimulation on the trigeminal neuralgia network. Zbl 1439.92013
Khodashenas, Mohammadreza; Baghdadi, Golnaz; Towhidkhah, Farzad
1
2019
The dynamics of networks of identical theta neurons. Zbl 1395.92040
Laing, Carlo R.
8
2018
Saddle slow manifolds and canard orbits in \(\mathbb{R}^{4}\) and application to the full Hodgkin-Huxley model. Zbl 1395.92038
Hasan, Cris R.; Krauskopf, Bernd; Osinga, Hinke M.
8
2018
Data assimilation methods for neuronal state and parameter estimation. Zbl 1405.92050
Moye, Matthew J.; Diekman, Casey O.
6
2018
Bifurcations of limit cycles in a reduced model of the Xenopus tadpole central pattern generator. Zbl 1405.92043
Ferrario, Andrea; Merrison-Hort, Robert; Soffe, Stephen R.; Li, Wen-Chang; Borisyuk, Roman
5
2018
Investigating the correlation-firing rate relationship in heterogeneous recurrent networks. Zbl 1395.92030
Barreiro, Andrea K.; Ly, Cheng
3
2018
What is required for neuronal calcium waves? A numerical parameter study. Zbl 1395.92034
Breit, Markus; Queisser, Gillian
3
2018
Stochastic hybrid systems in cellular neuroscience. Zbl 1405.92037
Bressloff, Paul C.; Maclaurin, James N.
3
2018
Robust exponential memory in Hopfield networks. Zbl 1395.92010
Hillar, Christopher J.; Tran, Ngoc M.
2
2018
Effect of neuromodulation of short-term plasticity on information processing in hippocampal interneuron synapses. Zbl 1395.92032
Bayat Mokhtari, Elham; Lawrence, J. Josh; Stone, Emily F.
2
2018
Sparse functional identification of complex cells from spike times and the decoding of visual stimuli. Zbl 1395.92042
Lazar, Aurel A.; Ukani, Nikul H.; Zhou, Yiyin
1
2018
Kernel reconstruction for delayed neural field equations. Zbl 1395.92028
Alswaihli, Jehan; Potthast, Roland; Bojak, Ingo; Saddy, Douglas; Hutt, Axel
1
2018
Analysis of an attractor neural network’s response to conflicting external inputs. Zbl 1395.92039
Hedrick, Kathryn; Zhang, Kechen
1
2018
M-current expands the range of gamma frequency inputs to which a neuronal target entrains. Zbl 1405.92056
Zhou, Yujia; Vo, Theodore; Rotstein, Horacio G.; McCarthy, Michelle M.; Kopell, Nancy
1
2018
A stochastic version of the jansen and rit neural mass model: analysis and numerics. Zbl 1395.92027
Ableidinger, Markus; Buckwar, Evelyn; Hinterleitner, Harald
8
2017
Fast-slow bursters in the unfolding of a high codimension singularity and the ultra-slow transitions of classes. Zbl 1395.92046
Saggio, Maria Luisa; Spiegler, Andreas; Bernard, Christophe; Jirsa, Viktor K.
5
2017
The dynamics of neural fields on bounded domains: an interface approach for Dirichlet boundary conditions. Zbl 1395.92036
Gökçe, Aytül; Avitabile, Daniele; Coombes, Stephen
3
2017
How adaptation makes low firing rates robust. Zbl 1395.92047
Sherman, Arthur S.; Ha, Joon
2
2017
Stable control of firing rate mean and variance by dual homeostatic mechanisms. Zbl 1405.92038
Cannon, Jonathan; Miller, Paul
2
2017
Timescales and mechanisms of sigh-like bursting and spiking in models of rhythmic respiratory neurons. Zbl 1395.92048
Wang, Yangyang; Rubin, Jonathan E.
1
2017
Finite-size effects on traveling wave solutions to neural field equations. Zbl 1395.92041
Lang, Eva; Stannat, Wilhelm
1
2017
Regularization of ill-posed point neuron models. Zbl 1395.92044
Nielsen, Bjørn Fredrik
1
2017
An analysis of waves underlying grid cell firing in the medial enthorinal cortex. Zbl 1395.92033
Bonilla-Quintana, Mayte; Wedgwood, Kyle C. A.; O’Dea, Reuben D.; Coombes, Stephen
1
2017
Symmetries constrain dynamics in a family of balanced neural networks. Zbl 1395.92029
Barreiro, Andrea K.; Kutz, J. Nathan; Shlizerman, Eli
1
2017
Fundamental limits of forced asynchronous spiking with integrate and fire dynamics. Zbl 1397.92118
Nandi, Anirban; Schättler, Heinz; Ritt, Jason T.; Ching, ShiNung
1
2017
Emergent dynamical properties of the BCM learning rule. Zbl 1405.92053
Udeigwe, Lawrence C.; Munro, Paul W.; Ermentrout, G. Bard
1
2017
Mathematical frameworks for oscillatory network dynamics in neuroscience. Zbl 1356.92015
Ashwin, Peter; Coombes, Stephen; Nicks, Rachel
64
2016
Wilson-Cowan equations for neocortical dynamics. Zbl 1356.92016
Cowan, Jack D.; Neuman, Jeremy; van Drongelen, Wim
6
2016
Neural field models with threshold noise. Zbl 1356.92021
Thul, Rüdiger; Coombes, Stephen; Laing, Carlo R.
6
2016
Entrainment ranges for chains of forced neural and phase oscillators. Zbl 1360.92029
Massarelli, Nicole; Clapp, Geoffrey; Hoffman, Kathleen; Kiemel, Tim
5
2016
Ill-posed point neuron models. Zbl 1360.92030
Nielsen, Bjørn Fredrik; Wyller, John
3
2016
Stochastic network models in neuroscience: a Festschrift for Jack Cowan. Introduction to the special issue. Zbl 1352.00032
1
2016
A theoretical study on the role of astrocytic activity in neuronal hyperexcitability by a novel neuron-glia mass model. Zbl 1360.92027
Garnier, Aurélie; Vidal, Alexandre; Benali, Habib
1
2016
Clarification and complement to “Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and Fitzhugh-Nagumo neurons”. Zbl 1361.92014
Bossy, Mireille; Faugeras, Olivier; Talay, Denis
29
2015
Neural excitability and singular bifurcations. Zbl 1357.92019
de Maesschalck, Peter; Wechselberger, Martin
21
2015
Path integral methods for stochastic differential equations. Zbl 1357.92009
Chow, Carson C.; Buice, Michael A.
13
2015
Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. Zbl 1361.92005
Bressloff, Paul C.
9
2015
Modeling focal epileptic activity in the Wilson-cowan model with depolarization block. Zbl 1357.92013
Meijer, Hil G. E.; Eissa, Tahra L.; Kiewiet, Bert; Neuman, Jeremy F.; Schevon, Catherine A.; Emerson, Ronald G.; Goodman, Robert R.; McKhann, Guy M.; Marcuccilli, Charles J.; Tryba, Andrew K.; Cowan, Jack D.; van Gils, Stephan A.; van Drongelen, Wim
6
2015
A formalism for evaluating analytically the cross-correlation structure of a firing-rate network model. Zbl 1357.92011
Fasoli, Diego; Faugeras, Olivier; Panzeri, Stefano
5
2015
Coarse-grained clustering dynamics of heterogeneously coupled neurons. Zbl 1356.92020
Moon, Sung Joon; Cook, Katherine A.; Rajendran, Karthikeyan; Kevrekidis, Ioannis G.; Cisternas, Jaime; Laing, Carlo R.
4
2015
On the effects on cortical spontaneous activity of the symmetries of the network of pinwheels in visual area V1. Zbl 1357.92016
Veltz, Romain; Chossat, Pascal; Faugeras, Olivier
4
2015
Extensive four-dimensional chaos in a mesoscopic model of the electroencephalogram. Zbl 1357.92040
Dafilis, Mathew P.; Frascoli, Federico; Cadusch, Peter J.; Liley, David T. J.
4
2015
Monochromaticity of orientation maps in V1 implies minimum variance for hypercolumn size. Zbl 1361.92013
Afgoustidis, Alexandre
3
2015
Orientation maps in V1 and non-Euclidean geometry. Zbl 1357.92008
Afgoustidis, Alexandre
3
2015
A simple mechanism for beyond-pairwise correlations in integrate-and-fire neurons. Zbl 1356.92019
Leen, David A.; Shea-Brown, Eric
2
2015
Shifting spike times or adding and deleting spikes – how different types of noise shape signal transmission in neural populations. Zbl 1356.92024
Voronenko, Sergej O.; Stannat, Wilhelm; Lindner, Benjamin
2
2015
Conditions for multi-functionality in a rhythm generating network inspired by turtle scratching. Zbl 1351.92011
Snyder, Abigail C.; Rubin, Jonathan E.
2
2015
A mechanistic neural field theory of how anesthesia suppresses consciousness: synaptic drive dynamics, bifurcations, attractors, and partial state equipartitioning. Zbl 1356.92018
Hou, Saing Paul; Haddad, Wassim M.; Meskin, Nader; Bailey, James M.
1
2015
Noise-induced precursors of state transitions in the stochastic Wilson-Cowan model. Zbl 1357.92015
Negahbani, Ehsan; Steyn-Ross, D. Alistair; Steyn-Ross, Moira L.; Wilson, Marcus T.; Sleigh, Jamie W.
1
2015
A mathematical model of a midbrain dopamine neuron identifies two slow variables likely responsible for bursts evoked by SK channel antagonists and terminated by depolarization block. Zbl 1361.92017
Yu, Na; Canavier, Carmen C.
1
2015
Stochastic synchronization in purkinje cells with feedforward inhibition could be studied with equivalent phase-response curves. Zbl 1357.92017
Verduzco-Flores, Sergio
1
2015
The minimal \(k\)-core problem for modeling \(k\)-assemblies. Zbl 1357.92018
Wood, Cynthia I.; Hicks, Illya V.
1
2015
Goodness-of-fit tests and nonparametric adaptive estimation for spike train analysis. Zbl 1321.92047
Reynaud-Bouret, Patricia; Rivoirard, Vincent; Grammont, Franck; Tuleau-Malot, Christine
38
2014
Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation. Zbl 1333.92009
Pakdaman, Khashayar; Perthame, Benoît; Salort, Delphine
30
2014
Large deviations for nonlocal stochastic neural fields. Zbl 1291.92038
Kuehn, Christian; Riedler, Martin G.
17
2014
Frequency preference response to oscillatory inputs in two-dimensional neural models: a geometric approach to subthreshold amplitude and phase resonance. Zbl 1291.92045
Rotstein, Horacio G.
13
2014
Fokker-Planck and Fortet equation-based parameter estimation for a leaky integrate-and-fire model with sinusoidal and stochastic forcing. Zbl 1431.92011
Iolov, Alexandre; Ditlevsen, Susanne; Longtin, André
12
2014
Numerical bifurcation theory for high-dimensional neural models. Zbl 1333.92018
Laing, Carlo R.
10
2014
Network symmetry and binocular rivalry experiments. Zbl 1321.92044
Diekman, Casey O.; Golubitsky, Martin
9
2014
Measuring edge importance: a quantitative analysis of the stochastic shielding approximation for random processes on graphs. Zbl 1291.92047
Schmidt, Deena R.; Thomas, Peter J.
5
2014
Effects of synaptic plasticity on phase and period locking in a network of two oscillatory neurons. Zbl 1291.92019
Akcay, Zeynep; Bose, Amitabha; Nadim, Farzan
2
2014
Cross-correlations and joint gaussianity in multivariate level crossing models. Zbl 1291.92031
Di Bernardino, Elena; León, José; Tchumatchenko, Tatjana
2
2014
How uncertainty bounds the shape index of simple cells. Zbl 1291.92021
Barbieri, D.; Citti, G.; Sarti, A.
2
2014
A density model for a population of theta neurons. Zbl 1291.92033
Dumont, Grégory; Henry, Jacques; Tarniceriu, Carmen
2
2014
Identification of criticality in neuronal avalanches. II: A theoretical and empirical investigation of the driven case. Zbl 1321.92045
Hartley, Caroline; Taylor, Timothy J.; Kiss, Istvan Z.; Farmer, Simon F.; Berthouze, Luc
1
2014
Phase-amplitude descriptions of neural oscillator models. Zbl 1291.92052
Wedgwood, Kyle C. A.; Lin, Kevin K.; Thul, Ruediger; Coombes, Stephen
34
2013
Phase-amplitude response functions for transient-state stimuli. Zbl 1291.92026
Castejón, Oriol; Guillamon, Antoni; Huguet, Gemma
25
2013
Excitable neurons, firing threshold manifolds and canards. Zbl 1321.92046
Mitry, John; McCarthy, Michelle; Kopell, Nancy; Wechselberger, Martin
18
2013
Derived patterns in binocular rivalry networks. Zbl 1291.92032
Diekman, Casey O.; Golubitsky, Martin; Wang, Yunjiao
11
2013
Laws of large numbers and Langevin approximations for stochastic neural field equations. Zbl 1295.60030
Riedler, Martin G.; Buckwar, Evelyn
9
2013
A network model of the periodic synchronization process in the dynamics of calcium concentration in GnRH neurons. Zbl 1291.92037
Krupa, Maciej; Vidal, Alexandre; Clément, Frédérique
5
2013
Identification of criticality in neuronal avalanches. I: A theoretical investigation of the non-driven case. Zbl 1291.92049
Taylor, Timothy J.; Hartley, Caroline; Simon, Péter L.; Kiss, Istvan Z.; Berthouze, Luc
4
2013
Distributed nonlocal feedback delays May destabilize fronts in neural fields, distributed transmission delays do not. Zbl 1291.92036
Hutt, Axel; Zhang, Linghai
3
2013
Mechanisms of intermittent state transitions in a coupled heterogeneous oscillator model of epilepsy. Zbl 1291.92035
Goodfellow, Marc; Glendinning, Paul
3
2013
Gap junctions, dendrites and resonances: a recipe for tuning network dynamics. Zbl 1291.92050
Timofeeva, Yulia; Coombes, Stephen; Michieletto, Davide
3
2013
Transient localized wave patterns and their application to migraine. Zbl 1291.92029
Dahlem, Markus A.; Isele, Thomas M.
2
2013
A simple algorithm for averaging spike trains. Zbl 1291.92006
Julienne, Hannah; Houghton, Conor
1
2013
An interactive channel model of the basal ganglia: bifurcation analysis under healthy and Parkinsonian conditions. Zbl 1291.92041
Merrison-Hort, Robert; Yousif, Nada; Njap, Felix; Hofmann, Ulrich G.; Burylko, Oleksandr; Borisyuk, Roman
1
2013
A computational study of spike time reliability in two types of threshold dynamics. Zbl 1291.92053
Yu, Na; Li, Yue-Xian; Kuske, Rachel
1
2013
Analysis of a scenario for chaotic quantal slowing down of inspiration. Zbl 1291.92020
Baesens, C.; MacKay, R. S.
1
2013
Stabilization of memory states by stochastic facilitating synapses. Zbl 1291.92042
Miller, Paul
1
2013
Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons. Zbl 1322.60205
Baladron, Javier; Fasoli, Diego; Faugeras, Olivier; Touboul, Jonathan
72
2012
Interface dynamics in planar neural field models. Zbl 1291.92028
Coombes, Stephen; Schmidt, Helmut; Bojak, Ingo
23
2012
A showcase of torus canards in neuronal bursters. Zbl 1291.92025
Burke, John; Desroches, Mathieu; Barry, Anna M.; Kaper, Tasso J.; Kramer, Mark A.
20
2012
Dynamical systems analysis of spike-adding mechanisms in transient bursts. Zbl 1291.92043
Nowacki, Jakub; Osinga, Hinke M.; Tsaneva-Atanasova, Krasimira
18
2012
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Cited by 1,129 Authors

15 Rotstein, Horacio G.
14 Bressloff, Paul C.
13 Laing, Carlo R.
12 Ashwin, Peter
12 Coombes, Stephen
12 MacLaurin, James N.
12 Wilson, Dan D.
11 Kilpatrick, Zachary P.
11 Rubin, Jonathan E.
10 Desroches, Mathieu
10 Kühn, Christian
10 Thomas, Peter J.
9 Bick, Christian
9 Osinga, Hinke Maria
9 Wechselberger, Martin
8 Ermentrout, Bard G.
8 Faugeras, Olivier D.
8 Gabriel, Pierre
8 Krauskopf, Bernd
8 Löcherbach, Eva
8 Vo, Theodore
7 Cáceres, María-José
7 Dumont, Grégory
7 Faye, Grégory
7 Luçon, Eric
7 Salort, Delphine
7 Veltz, Romain
6 Avitabile, Daniele
6 Chevallier, Julien
6 Ersöz, Elif Köksal
6 Gu, Huaguang
6 Henry, Jacques
6 Reynaud-Bouret, Patricia
6 Ryashko, Lev Borisovich
6 Shilnikov, Andrey L.
6 Tanré, Etienne
6 van Gils, Stephan A.
5 Barrio, Roberto
5 Bashkirtseva, Irina Adol’fovna
5 Berthier, Michel
5 Carrillo de la Plata, José Antonio
5 Chossat, Pascal
5 Ditlevsen, Susanne
5 Engel, Maximilian
5 Krupa, Martin
5 Lima, Pedro Miguel
5 Pérez-Cervera, Alberto
5 Perthame, Benoît
5 Provenzi, Edoardo
5 Rankin, James
5 Stannat, Wilhelm
5 Stewart, Ian Nicholas
5 Touboul, Jonathan David
5 Tsaneva-Atanasova, Krasimira T.
5 Wu, Ruoyu
4 Bel, Andrea L.
4 Bertram, Richard
4 Budhiraja, Amarjit S.
4 Fasoli, Diego
4 Fernández-García, Soledad
4 Holcman, David
4 Huguet, Gemma
4 Inglis, James D.
4 Letson, Benjamin
4 Lohé, M. A.
4 Longtin, André
4 Ly, Cheng
4 Nakao, Hiroya
4 Omel’chenko, Oleh E.
4 Panzeri, Stefano
4 Postlethwaite, Claire M.
4 Quiñinao, Cristobal
4 M-Seara, Tere
4 Serrano, Sergio E.
4 Tamborrino, Massimiliano
4 Tarniceriu, Carmen Oana
4 Thul, Rüdiger
4 Tubikanec, Irene
4 Yanchuk, Sergiĭ Volodymyrovych
3 Barreiro, Andrea K.
3 Bernard, Étienne
3 Buckwar, Evelyn
3 Campbell, Sue Ann
3 Carter, Paul M.
3 Cessac, Bruno
3 Citti, Giovanna
3 Creaser, Jennifer L.
3 Delarue, François
3 Doumic, Marie
3 Ermentrout, George Bard
3 Farjami, Saeed
3 Fournier, Nicolas
3 Galtier, Mathieu N.
3 Genon-Catalot, Valentine
3 Giraldo, Andrus
3 Golubitsky, Martin A.
3 Goodfellow, Marc
3 Jelbart, Samuel
3 Jirsa, Viktor K.
3 Kaper, Tasso J.
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Cited in 145 Journals

68 SIAM Journal on Applied Dynamical Systems
47 Chaos
44 The Journal of Mathematical Neuroscience
34 Journal of Computational Neuroscience
31 Physica D
26 Stochastic Processes and their Applications
22 Biological Cybernetics
20 Journal of Mathematical Biology
20 Communications in Nonlinear Science and Numerical Simulation
16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
15 Neural Computation
14 Journal of Physics A: Mathematical and Theoretical
13 Journal of Nonlinear Science
10 The Annals of Applied Probability
9 Journal of Statistical Physics
9 Nonlinearity
9 Journal of Theoretical Biology
8 Mathematical Biosciences
8 Chaos, Solitons and Fractals
8 SIAM Journal on Applied Mathematics
8 SIAM Journal on Mathematical Analysis
7 Applied Mathematics and Computation
7 Journal of Differential Equations
6 Acta Applicandae Mathematicae
6 Discrete and Continuous Dynamical Systems. Series B
5 BIT
5 European Journal of Applied Mathematics
5 SIAM Review
5 Bernoulli
5 Electronic Journal of Statistics
5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Physica A
4 Automatica
4 Journal of Mathematical Imaging and Vision
4 SIAM Journal on Scientific Computing
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Kinetic and Related Models
3 Physics Reports
3 Journal of Computational and Applied Mathematics
3 Probability Theory and Related Fields
3 Journal of Dynamics and Differential Equations
3 Electronic Journal of Probability
3 Discrete and Continuous Dynamical Systems
3 Differential Equations and Dynamical Systems
3 Quantitative Finance
3 Journal of Statistical Mechanics: Theory and Experiment
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Mathematical Modelling of Natural Phenomena
3 Journal of Computational Dynamics
2 Advances in Applied Probability
2 Communications in Mathematical Physics
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal of Computational Physics
2 Physics Letters. A
2 Bulletin of Mathematical Biology
2 The Annals of Statistics
2 Applied Mathematics and Optimization
2 Journal of Functional Analysis
2 Journal of Statistical Planning and Inference
2 SIAM Journal on Control and Optimization
2 Stochastic Analysis and Applications
2 Journal of Scientific Computing
2 Neural Networks
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Communications in Partial Differential Equations
2 Linear Algebra and its Applications
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Journal of Mathematical Sciences (New York)
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
2 New Journal of Physics
2 Statistical Inference for Stochastic Processes
2 Journal of Evolution Equations
2 Stochastics and Dynamics
2 Mathematical Biosciences and Engineering
2 Stochastics
2 Statistics and Computing
2 SIAM/ASA Journal on Uncertainty Quantification
1 American Mathematical Monthly
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Scandinavian Journal of Statistics
1 Mathematics of Computation
1 Acta Mathematica Vietnamica
1 The Annals of Probability
1 Biometrical Journal
1 Bulletin of the London Mathematical Society
1 Duke Mathematical Journal
1 Journal of Geometry
1 Journal of the London Mathematical Society. Second Series
1 Journal of Mathematical Psychology
1 Networks
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Statistics & Probability Letters
1 Applied Numerical Mathematics
1 Journal of Theoretical Probability
1 Applied Mathematics Letters
1 SIAM Journal on Discrete Mathematics
1 Japan Journal of Industrial and Applied Mathematics
...and 45 more Journals
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Cited in 47 Fields

433 Biology and other natural sciences (92-XX)
182 Ordinary differential equations (34-XX)
167 Probability theory and stochastic processes (60-XX)
146 Partial differential equations (35-XX)
116 Dynamical systems and ergodic theory (37-XX)
61 Numerical analysis (65-XX)
47 Statistical mechanics, structure of matter (82-XX)
46 Statistics (62-XX)
31 Systems theory; control (93-XX)
28 Integral equations (45-XX)
23 Computer science (68-XX)
21 Combinatorics (05-XX)
20 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Mechanics of particles and systems (70-XX)
14 Operator theory (47-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
12 Quantum theory (81-XX)
11 Information and communication theory, circuits (94-XX)
10 Operations research, mathematical programming (90-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
5 General and overarching topics; collections (00-XX)
5 Fluid mechanics (76-XX)
5 Optics, electromagnetic theory (78-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Functional analysis (46-XX)
3 Differential geometry (53-XX)
2 Group theory and generalizations (20-XX)
2 Difference and functional equations (39-XX)
2 Astronomy and astrophysics (85-XX)
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1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
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1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)

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