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Touboul, Jonathan David

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Author ID: touboul.jonathan-david Recent zbMATH articles by "Touboul, Jonathan David"
Published as: Touboul, Jonathan D.; Touboul, Jonathan; Touboul, Jonathan David; Touboul, J.
Documents Indexed: 43 Publications since 2008, including 1 Book
Co-Authors: 16 Co-Authors with 20 Joint Publications
627 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 92 times in 82 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
60
2012
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
35
2012
Propagation of chaos in neural fields. Zbl 1305.60107
Touboul, Jonathan
34
2014
Spiking dynamics of bidimensional integrate-and-fire neurons. Zbl 1204.37019
Touboul, Jonathan; Brette, Romain
22
2009
On a kinetic FitzHugh-Nagumo model of neuronal network. Zbl 1338.35001
Mischler, S.; Quiñinao, C.; Touboul, J.
21
2016
On the dynamics of random neuronal networks. Zbl 1360.82071
Robert, Philippe; Touboul, Jonathan
19
2016
Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Zbl 1161.92016
Touboul, Jonathan; Brette, Romain
18
2008
Importance of the cutoff value in the quadratic adaptive integrate-and-fire model. Zbl 1167.92008
Touboul, Jonathan
15
2009
Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions. Zbl 1317.92021
Touboul, Jonathan
13
2012
Complex oscillations in the delayed Fitzhugh-Nagumo equation. Zbl 1337.34079
Krupa, Maciej; Touboul, Jonathan D.
13
2016
A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1147.60027
Touboul, Jonathan; Faugeras, Olivier
9
2008
Large deviations, dynamics and phase transitions in large stochastic and disordered neural networks. Zbl 1291.82099
Cabana, Tanguy; Touboul, Jonathan
9
2013
Spatially extended networks with singular multi-scale connectivity patterns. Zbl 1310.82036
Touboul, Jonathan
7
2014
Index distribution of the Ginibre ensemble. Zbl 1290.82024
Allez, Romain; Touboul, Jonathan; Wainrib, Gilles
7
2014
Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients. Zbl 1364.60076
Touboul, Jonathan; Wainrib, Gilles
6
2015
Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. Zbl 1447.35335
Quininao, Cristobal; Touboul, Jonathan D.
6
2020
On the complex dynamics of savanna landscapes. Zbl 1416.92185
Touboul, Jonathan David; Staver, Ann Carla; Levin, Simon Asher
5
2018
The hipster effect: when anti-conformists all look the same. Zbl 1427.82026
Touboul, Jonathan D.
5
2019
Large deviations for randomly connected neural networks. I: Spatially extended systems. Zbl 1442.60036
Cabana, Tanguy; Touboul, Jonathan D.
5
2018
Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations. Zbl 1375.34075
Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.; Vidal, Alexandre
5
2017
Canard explosion in delay differential equations. Zbl 1350.34059
Krupa, Maciej; Touboul, Jonathan D.
5
2016
A coupled-mode model for water wave scattering by vertically sheared currents in variable bathymetry regions. Zbl 07213191
Belibassakis, K. A.; Simon, B.; Touboul, J.; Rey, V.
4
2017
Wild oscillations in a nonlinear neuron model with resets. I: Bursting, spike-adding and chaos. Zbl 1371.37032
Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.; Vidal, Alexandre
4
2017
Limits and dynamics of randomly connected neuronal networks. Zbl 1328.82033
Quiñinao, Cristobal; Touboul, Jonathan
4
2015
Probabilistic foundations of spatial mean-field models in ecology and applications. Zbl 1466.60050
Patterson, Denis D.; Levin, Simon A.; Staver, Carla; Touboul, Jonathan D.
3
2020
The heterogeneous gas with singular interaction: generalized circular law and heterogeneous renormalized energy. Zbl 1311.82044
del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan
3
2015
On the simulation of nonlinear bidimensional spiking neuron models. Zbl 1218.92024
Touboul, Jonathan
2
2011
Nonlinear and stochastic models in neuroscience. Zbl 1185.92027
Touboul, Jonathan
2
2008
Finite-size and correlation-induced effects in mean-field dynamics. Zbl 1446.92086
Touboul, Jonathan D.; Ermentrout, G. Bard
2
2011
Large deviations for randomly connected neural networks. II: State-dependent interactions. Zbl 1431.60030
Cabana, Tanguy; Touboul, Jonathan D.
2
2018
The real Ginibre ensemble with \(k=O(n)\) real eigenvalues. Zbl 1343.15024
del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan; Wainrib, Gilles
2
2016
Erratum to: “Propagation of chaos in neural fields”. Zbl 1434.60304
Touboul, Jonathan
2
2018
Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain. Zbl 1262.35207
Touboul, Jonathan
1
2012
Type III responses to transient inputs in hybrid nonlinear neuron models. Zbl 1476.37107
Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.
1
2021
Competition and boundary formation in heterogeneous media: application to neuronal differentiation. Zbl 1325.35237
Perthame, Benoît; Quiñinao, Cristóbal; Touboul, Jonathan
1
2015
Pulsatile localized dynamics in delayed neural field equations in arbitrary dimension. Zbl 1345.92039
Faye, Grégory; Touboul, Jonathan
1
2014
Noise-induced canard and mixed-mode oscillations in large-scale stochastic networks. Zbl 1344.34070
Touboul, Jonathan D.; Krupa, Martin; Desroches, Mathieu
1
2015
Type III responses to transient inputs in hybrid nonlinear neuron models. Zbl 1476.37107
Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.
1
2021
Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. Zbl 1447.35335
Quininao, Cristobal; Touboul, Jonathan D.
6
2020
Probabilistic foundations of spatial mean-field models in ecology and applications. Zbl 1466.60050
Patterson, Denis D.; Levin, Simon A.; Staver, Carla; Touboul, Jonathan D.
3
2020
The hipster effect: when anti-conformists all look the same. Zbl 1427.82026
Touboul, Jonathan D.
5
2019
On the complex dynamics of savanna landscapes. Zbl 1416.92185
Touboul, Jonathan David; Staver, Ann Carla; Levin, Simon Asher
5
2018
Large deviations for randomly connected neural networks. I: Spatially extended systems. Zbl 1442.60036
Cabana, Tanguy; Touboul, Jonathan D.
5
2018
Large deviations for randomly connected neural networks. II: State-dependent interactions. Zbl 1431.60030
Cabana, Tanguy; Touboul, Jonathan D.
2
2018
Erratum to: “Propagation of chaos in neural fields”. Zbl 1434.60304
Touboul, Jonathan
2
2018
Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations. Zbl 1375.34075
Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.; Vidal, Alexandre
5
2017
A coupled-mode model for water wave scattering by vertically sheared currents in variable bathymetry regions. Zbl 07213191
Belibassakis, K. A.; Simon, B.; Touboul, J.; Rey, V.
4
2017
Wild oscillations in a nonlinear neuron model with resets. I: Bursting, spike-adding and chaos. Zbl 1371.37032
Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.; Vidal, Alexandre
4
2017
On a kinetic FitzHugh-Nagumo model of neuronal network. Zbl 1338.35001
Mischler, S.; Quiñinao, C.; Touboul, J.
21
2016
On the dynamics of random neuronal networks. Zbl 1360.82071
Robert, Philippe; Touboul, Jonathan
19
2016
Complex oscillations in the delayed Fitzhugh-Nagumo equation. Zbl 1337.34079
Krupa, Maciej; Touboul, Jonathan D.
13
2016
Canard explosion in delay differential equations. Zbl 1350.34059
Krupa, Maciej; Touboul, Jonathan D.
5
2016
The real Ginibre ensemble with \(k=O(n)\) real eigenvalues. Zbl 1343.15024
del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan; Wainrib, Gilles
2
2016
Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients. Zbl 1364.60076
Touboul, Jonathan; Wainrib, Gilles
6
2015
Limits and dynamics of randomly connected neuronal networks. Zbl 1328.82033
Quiñinao, Cristobal; Touboul, Jonathan
4
2015
The heterogeneous gas with singular interaction: generalized circular law and heterogeneous renormalized energy. Zbl 1311.82044
del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan
3
2015
Competition and boundary formation in heterogeneous media: application to neuronal differentiation. Zbl 1325.35237
Perthame, Benoît; Quiñinao, Cristóbal; Touboul, Jonathan
1
2015
Noise-induced canard and mixed-mode oscillations in large-scale stochastic networks. Zbl 1344.34070
Touboul, Jonathan D.; Krupa, Martin; Desroches, Mathieu
1
2015
Propagation of chaos in neural fields. Zbl 1305.60107
Touboul, Jonathan
34
2014
Spatially extended networks with singular multi-scale connectivity patterns. Zbl 1310.82036
Touboul, Jonathan
7
2014
Index distribution of the Ginibre ensemble. Zbl 1290.82024
Allez, Romain; Touboul, Jonathan; Wainrib, Gilles
7
2014
Pulsatile localized dynamics in delayed neural field equations in arbitrary dimension. Zbl 1345.92039
Faye, Grégory; Touboul, Jonathan
1
2014
Large deviations, dynamics and phase transitions in large stochastic and disordered neural networks. Zbl 1291.82099
Cabana, Tanguy; Touboul, Jonathan
9
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
60
2012
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
35
2012
Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions. Zbl 1317.92021
Touboul, Jonathan
13
2012
Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain. Zbl 1262.35207
Touboul, Jonathan
1
2012
On the simulation of nonlinear bidimensional spiking neuron models. Zbl 1218.92024
Touboul, Jonathan
2
2011
Finite-size and correlation-induced effects in mean-field dynamics. Zbl 1446.92086
Touboul, Jonathan D.; Ermentrout, G. Bard
2
2011
Spiking dynamics of bidimensional integrate-and-fire neurons. Zbl 1204.37019
Touboul, Jonathan; Brette, Romain
22
2009
Importance of the cutoff value in the quadratic adaptive integrate-and-fire model. Zbl 1167.92008
Touboul, Jonathan
15
2009
Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Zbl 1161.92016
Touboul, Jonathan; Brette, Romain
18
2008
A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1147.60027
Touboul, Jonathan; Faugeras, Olivier
9
2008
Nonlinear and stochastic models in neuroscience. Zbl 1185.92027
Touboul, Jonathan
2
2008
all top 5

Cited by 159 Authors

9 Touboul, Jonathan David
4 Mischler, Stéphane
4 Rubin, Jonathan E.
4 Signerska-Rynkowska, Justyna
3 Cáceres, María-José
3 Mao, Xiaochen
3 Reis, Guilherme H.
3 Salort, Delphine
3 Skrzypek, Lesław
3 You, Yuncheng
2 Cabana, Tanguy
2 Crevat, Joachim
2 Dai Pra, Paolo
2 Desroches, Mathieu
2 Formentin, Marco
2 Gu, Huaguang
2 Krupa, Maciej
2 Luçon, Eric
2 MacLaurin, James N.
2 Oliveira, Roberto Imbuzeiro
2 Poquet, Christophe
2 Quiñinao, Cristobal
2 Roux, Pierre
2 Schneider, Ricarda
2 Vidal, Alexandre
2 Weng, Qilong
1 Achouri, Houssem
1 Al Saadi, Fahad
1 Aleandri, Michele
1 Aouiti, Chaouki
1 Appadu, A. R.
1 Avitabile, Daniele
1 Baldasso, Rangel
1 Barreiro, Andrea K.
1 Baspinar, Emre
1 Ben Hamed, Bassem
1 Bossy, Mireille
1 Breña-Medina, Víctor F.
1 Caines, Peter Edwin
1 Cameron, Maria Kourkina
1 Cang, Shijian
1 Cao, Chuqi
1 Carrillo de la Plata, José Antonio
1 Cerf, Raphaël
1 Champneys, Alan R.
1 Chapwanya, Michael
1 Chen, Zengqiang
1 Cherry, Elizabeth M.
1 Couteron, Pierre
1 de Souza, Daniel Câmara
1 del Molino, Luis Carlos García
1 Dembo, Amir
1 Ducrot, Arnaud
1 Dumont, Grégory
1 Eigentler, Lukas
1 Ersöz, Elif Köksal
1 Fasoli, Diego
1 Faye, Grégory
1 Filbet, Francis
1 Fontbona, Joaquin
1 Gabriel, Pierre
1 Geller, William
1 Graff, Grzegorz
1 Granados, Albert
1 Grieneisen, Verônica A.
1 Guan, Linan
1 Herrero, Miguel Ángel
1 Holden, Helge
1 Hoyer-Leitzel, Alanna
1 Huang, Minyi
1 Huguet, Gemma
1 Humphries, Antony R.
1 Iams, Sarah
1 Jejeniwa, O. A.
1 Jia, Bing
1 Jost, Jürgen
1 Kang, Moon-Jin
1 Kavian, Otared
1 Ke, Ai
1 Kutz, J. Nathan
1 Landry, Nicholas W.
1 Levin, Simon Asher
1 Li, Li
1 Li, Shaofan
1 Liu, Shenquan
1 Liu, Yan
1 Lu, Bo
1 Lu, Qishao
1 Lubetzky, Eyal
1 Lubuma, Jean Mbaro-Saman
1 Magal, Pierre
1 Marée, Athanasius F. M.
1 Marro, Joaquin
1 Mehri, Sima
1 Metzger, Mieczyslaw
1 Minelli, Ida Germana
1 Mirasso, Claudio R.
1 Misiurewicz, Michał
1 Ndao, Mamadou
1 Olivero, Héctor
...and 59 more Authors
all top 5

Cited in 49 Serials

5 Journal of Statistical Physics
5 The Annals of Applied Probability
5 Chaos
5 SIAM Journal on Applied Dynamical Systems
4 Nonlinear Dynamics
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Communications in Nonlinear Science and Numerical Simulation
3 Discrete and Continuous Dynamical Systems. Series B
2 Advances in Applied Probability
2 Journal of Mathematical Biology
2 Acta Applicandae Mathematicae
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Applied Mathematical Modelling
2 Journal of Evolution Equations
2 Kinetic and Related Models
1 Biological Cybernetics
1 Communications in Mathematical Physics
1 Journal of Computational Physics
1 Nonlinearity
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Computation
1 Automatica
1 SIAM Journal on Control and Optimization
1 Mathematical Social Sciences
1 Physica D
1 Probability Theory and Related Fields
1 Communications in Partial Differential Equations
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 Complexity
1 Electronic Journal of Probability
1 Discrete and Continuous Dynamical Systems
1 Mathematical Physics, Analysis and Geometry
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Mathematical Biosciences and Engineering
1 Stochastics
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 ALEA. Latin American Journal of Probability and Mathematical Statistics
1 Communications in Computational Physics
1 Analysis and Mathematical Physics
1 The Journal of Mathematical Neuroscience
1 Journal of Theoretical Biology
1 Journal de l’École Polytechnique – Mathématiques
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Electronic Research Archive

Citations by Year