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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: No longer indexed; Published electronic only as of Vol. 1 (2011). This journal is available open access.
Documents Indexed: 155 Publications (2011–2021)
References Indexed: 147 Publications with 6,553 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 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 Baesens, Claude
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 228 more Authors

Publications by Year

Citations contained in zbMATH Open

104 Publications have been cited 670 times in 510 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
46
2012
Mathematical frameworks for oscillatory network dynamics in neuroscience. Zbl 1356.92015
Ashwin, Peter; Coombes, Stephen; Nicks, Rachel
45
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
42
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
31
2014
Phase-amplitude descriptions of neural oscillator models. Zbl 1291.92052
Wedgwood, Kyle C. A.; Lin, Kevin K.; Thul, Ruediger; Coombes, Stephen
27
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
22
2014
Interface dynamics in planar neural field models. Zbl 1291.92028
Coombes, Stephen; Schmidt, Helmut; Bojak, Ingo
21
2012
Phase-amplitude response functions for transient-state stimuli. Zbl 1291.92026
Castejón, Oriol; Guillamon, Antoni; Huguet, Gemma
20
2013
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
19
2015
Dynamical systems analysis of spike-adding mechanisms in transient bursts. Zbl 1291.92043
Nowacki, Jakub; Osinga, Hinke M.; Tsaneva-Atanasova, Krasimira
16
2012
Stability of the stationary solutions of neural field equations with propagation delays. Zbl 1259.92010
Veltz, Romain; Faugeras, Olivier
16
2011
A showcase of torus canards in neuronal bursters. Zbl 1291.92025
Burke, John; Desroches, Mathieu; Barry, Anna M.; Kaper, Tasso J.; Kramer, Mark A.
15
2012
Excitable neurons, firing threshold manifolds and canards. Zbl 1321.92046
Mitry, John; McCarthy, Michelle; Kopell, Nancy; Wechselberger, Martin
14
2013
Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model. Zbl 1259.37055
Barrio, Roberto; Shilnikov, Andrey
14
2011
Neural excitability and singular bifurcations. Zbl 1357.92019
de Maesschalck, Peter; Wechselberger, Martin
13
2015
Large deviations for nonlocal stochastic neural fields. Zbl 1291.92038
Kuehn, Christian; Riedler, Martin G.
12
2014
Criteria for robustness of heteroclinic cycles in neural microcircuits. Zbl 1259.37054
Ashwin, Peter; Karabacak, Özkan; Nowotny, Thomas
12
2011
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.
11
2020
Derived patterns in binocular rivalry networks. Zbl 1291.92032
Diekman, Casey O.; Golubitsky, Martin; Wang, Yunjiao
9
2013
Numerical bifurcation theory for high-dimensional neural models. Zbl 1333.92018
Laing, Carlo R.
9
2014
Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. Zbl 1361.92005
Bressloff, Paul C.
9
2015
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.
8
2012
Multiscale analysis of slow-fast neuronal learning models with noise. Zbl 1291.60119
Galtier, Mathieu; Wainrib, Gilles
8
2012
Laws of large numbers and Langevin approximations for stochastic neural field equations. Zbl 1295.60030
Riedler, Martin G.; Buckwar, Evelyn
8
2013
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
8
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.
8
2014
Network symmetry and binocular rivalry experiments. Zbl 1321.92044
Diekman, Casey O.; Golubitsky, Martin
8
2014
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
The dynamics underlying pseudo-plateau bursting in a pituitary cell model. Zbl 1259.37063
Teka, Wondimu; Tabak, Joël; Vo, Theodore; Wechselberger, Martin; Bertram, Richard
7
2011
From invasion to extinction in heterogeneous neural fields. Zbl 1291.92024
Bressloff, Paul C.
6
2012
The dynamics of networks of identical theta neurons. Zbl 1395.92040
Laing, Carlo R.
6
2018
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
6
2011
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
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.
5
2018
Diffusion laws in dendritic spines. Zbl 1259.92008
Holcman, David; Schuss, Zeev
5
2011
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
Managing heterogeneity in the study of neural oscillator dynamics. Zbl 1291.92039
Laing, Carlo R.; Zou, Yu; Smith, Ben; Kevrekidis, Ioannis G.
4
2012
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.
4
2014
A stochastic version of the jansen and rit neural mass model: analysis and numerics. Zbl 1395.92027
Ableidinger, Markus; Buckwar, Evelyn; Hinterleitner, Harald
4
2017
Statistics of spike trains in conductance-based neural networks: rigorous results. Zbl 1259.92006
Cessac, Bruno
4
2011
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
4
2018
Wilson-Cowan equations for neocortical dynamics. Zbl 1356.92016
Cowan, Jack D.; Neuman, Jeremy; van Drongelen, Wim
4
2016
Path integral methods for stochastic differential equations. Zbl 1357.92009
Chow, Carson C.; Buice, Michael A.
4
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
4
2015
Explicit maps to predict activation order in multiphase rhythms of a coupled cell network. Zbl 1291.92046
Rubin, Jonathan E.; Terman, David
3
2012
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
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
Tailoring inputs to achieve maximal neuronal firing. Zbl 1259.92011
Wang, Jiaoyan; Costello, Willie; Rubin, Jonathan E.
3
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
3
2011
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.
3
2015
Ill-posed point neuron models. Zbl 1360.92030
Nielsen, Bjørn Fredrik; Wyller, John
2
2016
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
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
2
2013
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
A density model for a population of theta neurons. Zbl 1291.92033
Dumont, Grégory; Henry, Jacques; Tarniceriu, Carmen
2
2014
Geometry of color perception. I: Structures and metrics of a homogeneous color space. Zbl 1442.91078
Provenzi, Edoardo
2
2020
Geometry of color perception. II: Perceived colors from real quantum states and Hering’s rebit. Zbl 1448.91233
Berthier, M.
2
2020
How adaptation makes low firing rates robust. Zbl 1395.92047
Sherman, Arthur S.; Ha, Joon
2
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.
2
2017
Investigating the correlation-firing rate relationship in heterogeneous recurrent networks. Zbl 1395.92030
Barreiro, Andrea K.; Ly, Cheng
2
2018
What is required for neuronal calcium waves? A numerical parameter study. Zbl 1395.92034
Breit, Markus; Queisser, Gillian
2
2018
Data assimilation methods for neuronal state and parameter estimation. Zbl 1405.92050
Moye, Matthew J.; Diekman, Casey O.
2
2018
Stochastic hybrid systems in cellular neuroscience. Zbl 1405.92037
Bressloff, Paul C.; Maclaurin, James N.
2
2018
Stable control of firing rate mean and variance by dual homeostatic mechanisms. Zbl 1405.92038
Cannon, Jonathan; Miller, Paul
2
2017
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
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.
2
2015
Orientation maps in V1 and non-Euclidean geometry. Zbl 1357.92008
Afgoustidis, Alexandre
2
2015
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
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
2
2020
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
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
Stabilization of memory states by stochastic facilitating synapses. Zbl 1291.92042
Miller, Paul
1
2013
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
Cross-correlations and joint gaussianity in multivariate level crossing models. Zbl 1291.92031
Di Bernardino, Elena; León, José; Tchumatchenko, Tatjana
1
2014
How uncertainty bounds the shape index of simple cells. Zbl 1291.92021
Barbieri, D.; Citti, G.; Sarti, A.
1
2014
Methods to assess binocular rivalry with periodic stimuli. Zbl 1444.92011
Darki, Farzaneh; Rankin, James
1
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
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
Robust exponential memory in Hopfield networks. Zbl 1395.92010
Hillar, Christopher J.; Tran, Ngoc M.
1
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
Analysis of an attractor neural network’s response to conflicting external inputs. Zbl 1395.92039
Hedrick, Kathryn; Zhang, Kechen
1
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.
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
Emergent dynamical properties of the BCM learning rule. Zbl 1405.92053
Udeigwe, Lawrence C.; Munro, Paul W.; Ermentrout, G. Bard
1
2017
Neural field models with threshold noise. Zbl 1356.92021
Thul, Rüdiger; Coombes, Stephen; Laing, Carlo R.
1
2016
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
Monochromaticity of orientation maps in V1 implies minimum variance for hypercolumn size. Zbl 1361.92013
Afgoustidis, Alexandre
1
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
1
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.
11
2020
Geometry of color perception. I: Structures and metrics of a homogeneous color space. Zbl 1442.91078
Provenzi, Edoardo
2
2020
Geometry of color perception. II: Perceived colors from real quantum states and Hering’s rebit. Zbl 1448.91233
Berthier, M.
2
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
2
2020
Methods to assess binocular rivalry with periodic stimuli. Zbl 1444.92011
Darki, Farzaneh; Rankin, James
1
2020
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
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
Data-driven inference for stationary jump-diffusion processes with application to membrane voltage fluctuations in pyramidal neurons. Zbl 1439.92049
Melanson, Alexandre; Longtin, André
1
2019
Greedy low-rank algorithm for spatial connectome regression. Zbl 1437.92005
Kürschner, Patrick; Dolgov, Sergey; Harris, Kameron Decker; Benner, Peter
1
2019
The dynamics of networks of identical theta neurons. Zbl 1395.92040
Laing, Carlo R.
6
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.
5
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
4
2018
Investigating the correlation-firing rate relationship in heterogeneous recurrent networks. Zbl 1395.92030
Barreiro, Andrea K.; Ly, Cheng
2
2018
What is required for neuronal calcium waves? A numerical parameter study. Zbl 1395.92034
Breit, Markus; Queisser, Gillian
2
2018
Data assimilation methods for neuronal state and parameter estimation. Zbl 1405.92050
Moye, Matthew J.; Diekman, Casey O.
2
2018
Stochastic hybrid systems in cellular neuroscience. Zbl 1405.92037
Bressloff, Paul C.; Maclaurin, James N.
2
2018
Robust exponential memory in Hopfield networks. Zbl 1395.92010
Hillar, Christopher J.; Tran, Ngoc M.
1
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
Analysis of an attractor neural network’s response to conflicting external inputs. Zbl 1395.92039
Hedrick, Kathryn; Zhang, Kechen
1
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.
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
4
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
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.
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
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
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
45
2016
Entrainment ranges for chains of forced neural and phase oscillators. Zbl 1360.92029
Massarelli, Nicole; Clapp, Geoffrey; Hoffman, Kathleen; Kiemel, Tim
5
2016
Wilson-Cowan equations for neocortical dynamics. Zbl 1356.92016
Cowan, Jack D.; Neuman, Jeremy; van Drongelen, Wim
4
2016
Ill-posed point neuron models. Zbl 1360.92030
Nielsen, Bjørn Fredrik; Wyller, John
2
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
Neural field models with threshold noise. Zbl 1356.92021
Thul, Rüdiger; Coombes, Stephen; Laing, Carlo R.
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
19
2015
Neural excitability and singular bifurcations. Zbl 1357.92019
de Maesschalck, Peter; Wechselberger, Martin
13
2015
Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. Zbl 1361.92005
Bressloff, Paul C.
9
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
Path integral methods for stochastic differential equations. Zbl 1357.92009
Chow, Carson C.; Buice, Michael A.
4
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
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.
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
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.
2
2015
Orientation maps in V1 and non-Euclidean geometry. Zbl 1357.92008
Afgoustidis, Alexandre
2
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
Monochromaticity of orientation maps in V1 implies minimum variance for hypercolumn size. Zbl 1361.92013
Afgoustidis, Alexandre
1
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
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
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
31
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
22
2014
Large deviations for nonlocal stochastic neural fields. Zbl 1291.92038
Kuehn, Christian; Riedler, Martin G.
12
2014
Numerical bifurcation theory for high-dimensional neural models. Zbl 1333.92018
Laing, Carlo R.
9
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
8
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.
8
2014
Network symmetry and binocular rivalry experiments. Zbl 1321.92044
Diekman, Casey O.; Golubitsky, Martin
8
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.
4
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
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
Cross-correlations and joint gaussianity in multivariate level crossing models. Zbl 1291.92031
Di Bernardino, Elena; León, José; Tchumatchenko, Tatjana
1
2014
How uncertainty bounds the shape index of simple cells. Zbl 1291.92021
Barbieri, D.; Citti, G.; Sarti, A.
1
2014
Phase-amplitude descriptions of neural oscillator models. Zbl 1291.92052
Wedgwood, Kyle C. A.; Lin, Kevin K.; Thul, Ruediger; Coombes, Stephen
27
2013
Phase-amplitude response functions for transient-state stimuli. Zbl 1291.92026
Castejón, Oriol; Guillamon, Antoni; Huguet, Gemma
20
2013
Excitable neurons, firing threshold manifolds and canards. Zbl 1321.92046
Mitry, John; McCarthy, Michelle; Kopell, Nancy; Wechselberger, Martin
14
2013
Derived patterns in binocular rivalry networks. Zbl 1291.92032
Diekman, Casey O.; Golubitsky, Martin; Wang, Yunjiao
9
2013
Laws of large numbers and Langevin approximations for stochastic neural field equations. Zbl 1295.60030
Riedler, Martin G.; Buckwar, Evelyn
8
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
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
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
2
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
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
46
2012
Interface dynamics in planar neural field models. Zbl 1291.92028
Coombes, Stephen; Schmidt, Helmut; Bojak, Ingo
21
2012
Dynamical systems analysis of spike-adding mechanisms in transient bursts. Zbl 1291.92043
Nowacki, Jakub; Osinga, Hinke M.; Tsaneva-Atanasova, Krasimira
16
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.
15
2012
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.
8
2012
Multiscale analysis of slow-fast neuronal learning models with noise. Zbl 1291.60119
Galtier, Mathieu; Wainrib, Gilles
8
2012
From invasion to extinction in heterogeneous neural fields. Zbl 1291.92024
Bressloff, Paul C.
6
2012
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
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
3
2012
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
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
Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. Zbl 1259.35198
Cáceres, María J.; Carrillo, José A.; Perthame, Benoît
42
2011
Stability of the stationary solutions of neural field equations with propagation delays. Zbl 1259.92010
Veltz, Romain; Faugeras, Olivier
16
2011
Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model. Zbl 1259.37055
Barrio, Roberto; Shilnikov, Andrey
14
2011
Criteria for robustness of heteroclinic cycles in neural microcircuits. Zbl 1259.37054
Ashwin, Peter; Karabacak, Özkan; Nowotny, Thomas
12
2011
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
The dynamics underlying pseudo-plateau bursting in a pituitary cell model. Zbl 1259.37063
Teka, Wondimu; Tabak, Joël; Vo, Theodore; Wechselberger, Martin; Bertram, Richard
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
6
2011
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Cited by 817 Authors

12 Ashwin, Peter
12 Bressloff, Paul C.
11 Coombes, Stephen
11 Laing, Carlo R.
11 Rotstein, Horacio G.
10 Desroches, Mathieu
10 Kilpatrick, Zachary P.
8 MacLaurin, James N.
8 Osinga, Hinke Maria
8 Rubin, Jonathan E.
8 Thomas, Peter J.
8 Wilson, Dan D.
7 Faugeras, Olivier D.
7 Faye, Grégory
7 Wechselberger, Martin
6 Avitabile, Daniele
6 Bick, Christian
6 Cáceres, María-José
6 Chevallier, Julien
6 Dumont, Grégory
6 Ermentrout, Bard G.
6 Gabriel, Pierre
6 Gu, Huaguang
6 Krauskopf, Bernd
6 Krupa, Martin
6 Löcherbach, Eva
6 Shilnikov, Andrey L.
6 Tanré, Etienne
6 Veltz, Romain
6 Vo, Theodore
5 Chossat, Pascal
5 Ditlevsen, Susanne
5 Ersöz, Elif Köksal
5 Henry, Jacques
5 Kühn, Christian
5 Luçon, Eric
5 Rankin, James
5 Reynaud-Bouret, Patricia
5 Salort, Delphine
5 Stannat, Wilhelm
5 Touboul, Jonathan David
5 Tsaneva-Atanasova, Krasimira T.
5 van Gils, Stephan A.
4 Barrio, Roberto
4 Bel, Andrea L.
4 Fasoli, Diego
4 Huguet, Gemma
4 Inglis, James D.
4 Nakao, Hiroya
4 Panzeri, Stefano
4 Pérez-Cervera, Alberto
4 Perthame, Benoît
4 Postlethwaite, Claire M.
4 Quiñinao, Cristobal
4 Ryashko, Lev Borisovich
4 M-Seara, Tere
4 Stewart, Ian Nicholas
4 Thul, Rüdiger
4 Wu, Ruoyu
3 Bashkirtseva, Irina Adol’fovna
3 Bernard, Étienne
3 Budhiraja, Amarjit S.
3 Carter, Paul M.
3 Cessac, Bruno
3 Creaser, Jennifer L.
3 Doumic, Marie
3 Engel, Maximilian
3 Farjami, Saeed
3 Fournier, Nicolas G.
3 Galtier, Mathieu N.
3 Golubitsky, Martin A.
3 Goodfellow, Marc
3 Holcman, David
3 Kuznetsov, Yuri Alexandrovich
3 Lai, Yi Ming
3 Letson, Benjamin
3 Lima, Pedro Miguel
3 Mischler, Stéphane
3 Moehlis, Jeff
3 Nguyen, Son Luu
3 Omel’chenko, Oleh E.
3 Osipov, Grigory V.
3 Schmidt, Helmut
3 Schneider, Ricarda
3 Schöll, Eckehard
3 Schuss, Zeev
3 Serrano, Sergio E.
3 Slepukhina, Evdokia S.
3 Tarniceriu, Carmen Oana
3 Vidal, Alexandre
3 Visser, Sid
3 Wu, Fuqiang
2 Aguiar, Manuela A. D.
2 Alexander, Ryan P. D.
2 Baccelli, François Louis
2 Bacry, Emmanuel
2 Barreiro, Andrea K.
2 Basodi, Sunitha
2 Berthier, Michel
2 Bertram, Richard
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Cited in 111 Journals

51 SIAM Journal on Applied Dynamical Systems
47 Chaos
40 The Journal of Mathematical Neuroscience
24 Journal of Computational Neuroscience
17 Journal of Mathematical Biology
16 Physica D
16 Stochastic Processes and their Applications
15 Biological Cybernetics
15 Neural Computation
15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
15 Communications in Nonlinear Science and Numerical Simulation
10 Journal of Nonlinear Science
9 The Annals of Applied Probability
8 Journal of Statistical Physics
7 Mathematical Biosciences
7 Journal of Theoretical Biology
6 Nonlinearity
6 SIAM Journal on Mathematical Analysis
5 Applied Mathematics and Computation
5 Acta Applicandae Mathematicae
5 SIAM Journal on Applied Mathematics
5 Discrete and Continuous Dynamical Systems. Series B
5 Journal of Physics A: Mathematical and Theoretical
5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Journal of Differential Equations
4 European Journal of Applied Mathematics
4 Bernoulli
3 Chaos, Solitons and Fractals
3 Automatica
3 SIAM Review
3 Electronic Journal of Probability
3 Discrete and Continuous Dynamical Systems
3 Quantitative Finance
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Statistical Mechanics: Theory and Experiment
3 Mathematical Modelling of Natural Phenomena
3 Journal of Computational Dynamics
2 Communications in Mathematical Physics
2 The Annals of Statistics
2 BIT
2 Journal of Computational and Applied Mathematics
2 Journal of Functional Analysis
2 Journal of Statistical Planning and Inference
2 Stochastic Analysis and Applications
2 Probability Theory and Related Fields
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 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Journal of Dynamics and Differential Equations
2 Journal of Mathematical Imaging and Vision
2 SIAM Journal on Scientific Computing
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 Journal of Evolution Equations
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Electronic Journal of Statistics
2 Kinetic and Related Models
2 SIAM/ASA Journal on Uncertainty Quantification
1 Advances in Applied Probability
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational Physics
1 Physics Letters. A
1 Physics Reports
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 Acta Mathematica Vietnamica
1 The Annals of Probability
1 Biometrical Journal
1 Duke Mathematical Journal
1 Journal of Geometry
1 Journal of Mathematical Psychology
1 Statistics & Probability Letters
1 Applied Mathematics Letters
1 SIAM Journal on Discrete Mathematics
1 Japan Journal of Industrial and Applied Mathematics
1 Numerical Algorithms
1 Computational Statistics
1 Linear Algebra and its Applications
1 Random Operators and Stochastic Equations
1 Complexity
1 Journal of Difference Equations and Applications
1 Differential Equations and Dynamical Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 Statistical Inference for Stochastic Processes
1 Regular and Chaotic Dynamics
1 Qualitative Theory of Dynamical Systems
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Dynamical Systems
1 Portugaliae Mathematica. Nova Série
1 Entropy
1 Stochastics and Dynamics
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Hacettepe Journal of Mathematics and Statistics
1 Mathematical Biosciences and Engineering
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
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Cited in 38 Fields

326 Biology and other natural sciences (92-XX)
139 Ordinary differential equations (34-XX)
116 Probability theory and stochastic processes (60-XX)
99 Dynamical systems and ergodic theory (37-XX)
96 Partial differential equations (35-XX)
36 Numerical analysis (65-XX)
32 Statistical mechanics, structure of matter (82-XX)
30 Statistics (62-XX)
23 Integral equations (45-XX)
17 Systems theory; control (93-XX)
14 Combinatorics (05-XX)
12 Operator theory (47-XX)
12 Mechanics of particles and systems (70-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Computer science (68-XX)
8 Information and communication theory, circuits (94-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Operations research, mathematical programming (90-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 General and overarching topics; collections (00-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Functional analysis (46-XX)
3 Fluid mechanics (76-XX)
3 Optics, electromagnetic theory (78-XX)
3 Quantum theory (81-XX)
2 Group theory and generalizations (20-XX)
2 Astronomy and astrophysics (85-XX)
2 Geophysics (86-XX)
1 Real functions (26-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

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