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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, J.; Touboul, Jonathan; Touboul, Jonathan D.; Touboul, Jonathan David
Documents Indexed: 39 Publications since 2008, including 1 Book

Publications by Year

Citations contained in zbMATH

32 Publications have been cited 241 times in 164 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
35
2012
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
27
2012
Propagation of chaos in neural fields. Zbl 1305.60107
Touboul, Jonathan
23
2014
Spiking dynamics of bidimensional integrate-and-fire neurons. Zbl 1204.37019
Touboul, Jonathan; Brette, Romain
17
2009
On a kinetic FitzHugh-Nagumo model of neuronal network. Zbl 1338.35001
Mischler, S.; Quiñinao, C.; Touboul, J.
14
2016
Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Zbl 1161.92016
Touboul, Jonathan; Brette, Romain
14
2008
On the dynamics of random neuronal networks. Zbl 1360.82071
Robert, Philippe; Touboul, Jonathan
13
2016
Importance of the cutoff value in the quadratic adaptive integrate-and-fire model. Zbl 1167.92008
Touboul, Jonathan
13
2009
Complex oscillations in the delayed Fitzhugh-Nagumo equation. Zbl 1337.34079
Krupa, Maciej; Touboul, Jonathan D.
12
2016
Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions. Zbl 1317.92021
Touboul, Jonathan
12
2012
Index distribution of the Ginibre ensemble. Zbl 1290.82024
Allez, Romain; Touboul, Jonathan; Wainrib, Gilles
7
2014
A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1147.60027
Touboul, Jonathan; Faugeras, Olivier
7
2008
Spatially extended networks with singular multi-scale connectivity patterns. Zbl 1310.82036
Touboul, Jonathan
6
2014
Large deviations, dynamics and phase transitions in large stochastic and disordered neural networks. Zbl 1291.82099
Cabana, Tanguy; Touboul, Jonathan
6
2013
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
4
2017
Canard explosion in delay differential equations. Zbl 1350.34059
Krupa, Maciej; Touboul, Jonathan D.
4
2016
Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients. Zbl 1364.60076
Touboul, Jonathan; Wainrib, Gilles
3
2015
Limits and dynamics of randomly connected neuronal networks. Zbl 1328.82033
Quiñinao, Cristobal; Touboul, Jonathan
3
2015
The hipster effect: when anti-conformists all look the same. Zbl 1427.82026
Touboul, Jonathan D.
2
2019
On the complex dynamics of savanna landscapes. Zbl 1416.92185
Touboul, Jonathan David; Staver, Ann Carla; Levin, Simon Asher
2
2018
Erratum: “Propagation of chaos in neural fields”. Zbl 1434.60304
Touboul, Jonathan
2
2018
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
2
2017
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
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
2
2015
On the simulation of nonlinear bidimensional spiking neuron models. Zbl 1218.92024
Touboul, Jonathan
2
2011
Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. Zbl 1447.35335
Quininao, Cristobal; Touboul, Jonathan D.
1
2020
Large deviations for randomly connected neural networks. II: State-dependent interactions. Zbl 1431.60030
Cabana, Tanguy; Touboul, Jonathan D.
1
2018
Large deviations for randomly connected neural networks. I: Spatially extended systems. Zbl 1442.60036
Cabana, Tanguy; Touboul, Jonathan D.
1
2018
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
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
Nonlinear and stochastic models in neuroscience. Zbl 1185.92027
Touboul, Jonathan
1
2008
Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. Zbl 1447.35335
Quininao, Cristobal; Touboul, Jonathan D.
1
2020
The hipster effect: when anti-conformists all look the same. Zbl 1427.82026
Touboul, Jonathan D.
2
2019
On the complex dynamics of savanna landscapes. Zbl 1416.92185
Touboul, Jonathan David; Staver, Ann Carla; Levin, Simon Asher
2
2018
Erratum: “Propagation of chaos in neural fields”. Zbl 1434.60304
Touboul, Jonathan
2
2018
Large deviations for randomly connected neural networks. II: State-dependent interactions. Zbl 1431.60030
Cabana, Tanguy; Touboul, Jonathan D.
1
2018
Large deviations for randomly connected neural networks. I: Spatially extended systems. Zbl 1442.60036
Cabana, Tanguy; Touboul, Jonathan D.
1
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
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
2
2017
On a kinetic FitzHugh-Nagumo model of neuronal network. Zbl 1338.35001
Mischler, S.; Quiñinao, C.; Touboul, J.
14
2016
On the dynamics of random neuronal networks. Zbl 1360.82071
Robert, Philippe; Touboul, Jonathan
13
2016
Complex oscillations in the delayed Fitzhugh-Nagumo equation. Zbl 1337.34079
Krupa, Maciej; Touboul, Jonathan D.
12
2016
Canard explosion in delay differential equations. Zbl 1350.34059
Krupa, Maciej; Touboul, Jonathan D.
4
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
3
2015
Limits and dynamics of randomly connected neuronal networks. Zbl 1328.82033
Quiñinao, Cristobal; Touboul, Jonathan
3
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
2
2015
Competition and boundary formation in heterogeneous media: application to neuronal differentiation. Zbl 1325.35237
Perthame, Benoît; Quiñinao, Cristóbal; Touboul, Jonathan
1
2015
Propagation of chaos in neural fields. Zbl 1305.60107
Touboul, Jonathan
23
2014
Index distribution of the Ginibre ensemble. Zbl 1290.82024
Allez, Romain; Touboul, Jonathan; Wainrib, Gilles
7
2014
Spatially extended networks with singular multi-scale connectivity patterns. Zbl 1310.82036
Touboul, Jonathan
6
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
6
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
35
2012
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
27
2012
Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions. Zbl 1317.92021
Touboul, Jonathan
12
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
Spiking dynamics of bidimensional integrate-and-fire neurons. Zbl 1204.37019
Touboul, Jonathan; Brette, Romain
17
2009
Importance of the cutoff value in the quadratic adaptive integrate-and-fire model. Zbl 1167.92008
Touboul, Jonathan
13
2009
Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Zbl 1161.92016
Touboul, Jonathan; Brette, Romain
14
2008
A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1147.60027
Touboul, Jonathan; Faugeras, Olivier
7
2008
Nonlinear and stochastic models in neuroscience. Zbl 1185.92027
Touboul, Jonathan
1
2008
all top 5

Cited by 296 Authors

23 Touboul, Jonathan David
5 Cáceres, María-José
5 Mischler, Stéphane
5 Quiñinao, Cristobal
4 Dai Pra, Paolo
4 Signerska-Rynkowska, Justyna
4 Tang, Sanyi
4 Wainrib, Gilles
3 Budhiraja, Amarjit S.
3 Cabana, Tanguy
3 Collet, Francesca
3 Cunden, Fabio Deelan
3 Faugeras, Olivier Paul
3 Formentin, Marco
3 Galves, Antonio
3 Krupa, Maciej
3 Löcherbach, Eva
3 Luçon, Eric
3 Ost, Guilherme
3 Perthame, Benoît
3 Schneider, Ricarda
3 Stannat, Wilhelm
3 Tang, Biao
3 Touboul, Jonathan
3 Vivo, Pierpaolo
3 Weng, Qilong
3 Wu, Ruoyu
2 Andreis, Luisa
2 Bossy, Mireille
2 Bressloff, Paul C.
2 Crevat, Joachim
2 del Molino, Luis Carlos García
2 Desroches, Mathieu
2 Drogoul, Audric
2 Duarte, Aline
2 Facchi, Paolo
2 Fasoli, Diego
2 Gerstner, Wulfram
2 Giacomin, Giambattista
2 Granados, Albert
2 Gu, Huaguang
2 Laing, Carlo R.
2 Ligabò, Marilena
2 MacLaurin, James N.
2 Majumdar, Satya N.
2 Mao, Xiaochen
2 Nguyen Huu Du
2 Nguyen, Son Luu
2 Oliveira, Roberto Imbuzeiro
2 Pakdaman, Khashayar
2 Panzeri, Stefano
2 Poquet, Christophe
2 Reis, Guilherme H.
2 Rubin, Jonathan E.
2 Salort, Delphine
2 Shiau, LieJune
2 Shlizerman, Eli
2 Taillefumier, Thibaud
2 Veltz, Romain
2 Vidal, Alexandre
2 Xiao, Yanni
2 Zhang, Qianqian
1 Adhikari, Kartick
1 Agram, Nacira
1 Aihara, Kazuyuki
1 Alsedà, Lluís
1 Ascione, Giacomo
1 Avitable, Daniele
1 Baccelli, François Louis
1 Bačić, Iva
1 Baptista, Murilo S.
1 Bard Ermentrout, G.
1 Barranca, Victor J.
1 Barreiro, Andrea K.
1 Batista, Antonio Marcos
1 Bhamidi, Shankar
1 Bonetti, R. C.
1 Borges, Fernando S.
1 Borgo, Martina Dal
1 Brette, Romain
1 Cai, David
1 Caldas, Iberê L.
1 Cang, Shijian
1 Cao, Junfei
1 Cao, Zhengran
1 Carrillo de la Plata, José Antonio
1 Cattani, Anna
1 Chartrand, Thomas
1 Cheke, Robert A.
1 Chen, Ling
1 Chen, Shuang
1 Chen, Zengqiang
1 Cheng, Tianyu
1 Cherry, Elizabeth M.
1 Chevallier, Julien
1 Chong, Carsten
1 Clopath, Claudia
1 Conti, Federica
1 Coombes, Stephen
1 De Masi, Anna
...and 196 more Authors
all top 5

Cited in 69 Serials

17 Journal of Statistical Physics
9 Stochastic Processes and their Applications
7 Neural Computation
7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 Journal of Computational Neuroscience
6 Chaos
6 The Journal of Mathematical Neuroscience
5 Biological Cybernetics
5 SIAM Journal on Applied Dynamical Systems
4 Journal of Mathematical Biology
4 The Annals of Applied Probability
4 Nonlinear Dynamics
4 Journal of Theoretical Biology
3 Advances in Applied Probability
3 Acta Applicandae Mathematicae
3 Physica D
3 Communications in Nonlinear Science and Numerical Simulation
3 Discrete and Continuous Dynamical Systems. Series B
2 Communications in Mathematical Physics
2 Journal of Differential Equations
2 Neural Networks
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Communications in Partial Differential Equations
2 SIAM Journal on Applied Mathematics
2 SIAM Journal on Mathematical Analysis
2 Electronic Journal of Probability
2 Discrete and Continuous Dynamical Systems
2 Discrete Dynamics in Nature and Society
2 Journal of Physics A: Mathematical and Theoretical
2 Kinetic and Related Models
1 Journal of Mathematical Analysis and Applications
1 Mathematical Biosciences
1 Nonlinearity
1 Mathematics of Computation
1 Acta Mathematica Vietnamica
1 The Annals of Probability
1 Applied Mathematics and Computation
1 Journal of Functional Analysis
1 Journal of Multivariate Analysis
1 Stochastic Analysis and Applications
1 Probability Theory and Related Fields
1 Journal of Theoretical Probability
1 Annals of Operations Research
1 Applied Mathematical Modelling
1 European Journal of Operational Research
1 SIAM Review
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 NoDEA. Nonlinear Differential Equations and Applications
1 Complexity
1 Electronic Communications in Probability
1 Bernoulli
1 European Journal of Control
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Mathematical Physics, Analysis and Geometry
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Brazilian Journal of Probability and Statistics
1 Journal of Evolution Equations
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Entropy
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Stochastics and Dynamics
1 Journal of Statistical Mechanics: Theory and Experiment
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 International Journal of Stochastic Analysis
1 Afrika Matematika
1 Mathematical Control and Related Fields
1 Journal de l’École Polytechnique – Mathématiques

Citations by Year