Edit Profile Touboul, Jonathan David Compute Distance To: Compute Author ID: touboul.jonathan-david Published as: Touboul, J.; Touboul, Jonathan; Touboul, Jonathan D.; Touboul, Jonathan David Documents Indexed: 39 Publications since 2008, including 1 Book all top 5 Co-Authors 1 single-authored 4 Quiñinao, Cristobal 3 Cabana, Tanguy 2 Krupa, Maciej 2 Rubin, Jonathan E. 2 Signerska-Rynkowska, Justyna 2 Vidal, Alexandre 1 Bard Ermentrout, G. 1 Desroches, Mathieu 1 Faugeras, Olivier D. 1 Krupa, Martin 1 Levin, Simon Asher 1 Mischler, Stéphane 1 Perthame, Benoît 1 Staver, Ann Carla all top 5 Serials 3 Discrete and Continuous Dynamical Systems. Series B 2 Advances in Applied Probability 2 Journal of Computational Neuroscience 1 Communications in Mathematical Physics 1 Journal of Statistical Physics 1 Acta Applicandae Mathematicae 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 SIAM Journal on Applied Dynamical Systems all top 5 Fields 11 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 3 Partial differential equations (35-XX) Publications by Year all cited Publications top 5 cited Publications 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 1322.60205Baladron, Javier; Fasoli, Diego; Faugeras, Olivier; Touboul, Jonathan 35 2012 Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier 27 2012 Propagation of chaos in neural fields. Zbl 1305.60107Touboul, Jonathan 23 2014 Spiking dynamics of bidimensional integrate-and-fire neurons. Zbl 1204.37019Touboul, Jonathan; Brette, Romain 17 2009 On a kinetic FitzHugh-Nagumo model of neuronal network. Zbl 1338.35001Mischler, S.; Quiñinao, C.; Touboul, J. 14 2016 Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Zbl 1161.92016Touboul, Jonathan; Brette, Romain 14 2008 On the dynamics of random neuronal networks. Zbl 1360.82071Robert, Philippe; Touboul, Jonathan 13 2016 Importance of the cutoff value in the quadratic adaptive integrate-and-fire model. Zbl 1167.92008Touboul, Jonathan 13 2009 Complex oscillations in the delayed Fitzhugh-Nagumo equation. Zbl 1337.34079Krupa, Maciej; Touboul, Jonathan D. 12 2016 Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions. Zbl 1317.92021Touboul, Jonathan 12 2012 Index distribution of the Ginibre ensemble. Zbl 1290.82024Allez, Romain; Touboul, Jonathan; Wainrib, Gilles 7 2014 A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1147.60027Touboul, Jonathan; Faugeras, Olivier 7 2008 Spatially extended networks with singular multi-scale connectivity patterns. Zbl 1310.82036Touboul, Jonathan 6 2014 Large deviations, dynamics and phase transitions in large stochastic and disordered neural networks. Zbl 1291.82099Cabana, Tanguy; Touboul, Jonathan 6 2013 Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations. Zbl 1375.34075Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.; Vidal, Alexandre 4 2017 Canard explosion in delay differential equations. Zbl 1350.34059Krupa, Maciej; Touboul, Jonathan D. 4 2016 Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients. Zbl 1364.60076Touboul, Jonathan; Wainrib, Gilles 3 2015 Limits and dynamics of randomly connected neuronal networks. Zbl 1328.82033Quiñinao, Cristobal; Touboul, Jonathan 3 2015 The hipster effect: when anti-conformists all look the same. Zbl 1427.82026Touboul, Jonathan D. 2 2019 On the complex dynamics of savanna landscapes. Zbl 1416.92185Touboul, Jonathan David; Staver, Ann Carla; Levin, Simon Asher 2 2018 Erratum: “Propagation of chaos in neural fields”. Zbl 1434.60304Touboul, Jonathan 2 2018 Wild oscillations in a nonlinear neuron model with resets. I: Bursting, spike-adding and chaos. Zbl 1371.37032Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.; Vidal, Alexandre 2 2017 The real Ginibre ensemble with \(k=O(n)\) real eigenvalues. Zbl 1343.15024del 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 1311.82044del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan 2 2015 On the simulation of nonlinear bidimensional spiking neuron models. Zbl 1218.92024Touboul, Jonathan 2 2011 Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. Zbl 1447.35335Quininao, Cristobal; Touboul, Jonathan D. 1 2020 Large deviations for randomly connected neural networks. II: State-dependent interactions. Zbl 1431.60030Cabana, Tanguy; Touboul, Jonathan D. 1 2018 Large deviations for randomly connected neural networks. I: Spatially extended systems. Zbl 1442.60036Cabana, Tanguy; Touboul, Jonathan D. 1 2018 Competition and boundary formation in heterogeneous media: application to neuronal differentiation. Zbl 1325.35237Perthame, Benoît; Quiñinao, Cristóbal; Touboul, Jonathan 1 2015 Pulsatile localized dynamics in delayed neural field equations in arbitrary dimension. Zbl 1345.92039Faye, Grégory; Touboul, Jonathan 1 2014 Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain. Zbl 1262.35207Touboul, Jonathan 1 2012 Nonlinear and stochastic models in neuroscience. Zbl 1185.92027Touboul, Jonathan 1 2008 Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. Zbl 1447.35335Quininao, Cristobal; Touboul, Jonathan D. 1 2020 The hipster effect: when anti-conformists all look the same. Zbl 1427.82026Touboul, Jonathan D. 2 2019 On the complex dynamics of savanna landscapes. Zbl 1416.92185Touboul, Jonathan David; Staver, Ann Carla; Levin, Simon Asher 2 2018 Erratum: “Propagation of chaos in neural fields”. Zbl 1434.60304Touboul, Jonathan 2 2018 Large deviations for randomly connected neural networks. II: State-dependent interactions. Zbl 1431.60030Cabana, Tanguy; Touboul, Jonathan D. 1 2018 Large deviations for randomly connected neural networks. I: Spatially extended systems. Zbl 1442.60036Cabana, Tanguy; Touboul, Jonathan D. 1 2018 Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations. Zbl 1375.34075Rubin, 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 1371.37032Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.; Vidal, Alexandre 2 2017 On a kinetic FitzHugh-Nagumo model of neuronal network. Zbl 1338.35001Mischler, S.; Quiñinao, C.; Touboul, J. 14 2016 On the dynamics of random neuronal networks. Zbl 1360.82071Robert, Philippe; Touboul, Jonathan 13 2016 Complex oscillations in the delayed Fitzhugh-Nagumo equation. Zbl 1337.34079Krupa, Maciej; Touboul, Jonathan D. 12 2016 Canard explosion in delay differential equations. Zbl 1350.34059Krupa, Maciej; Touboul, Jonathan D. 4 2016 The real Ginibre ensemble with \(k=O(n)\) real eigenvalues. Zbl 1343.15024del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan; Wainrib, Gilles 2 2016 Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients. Zbl 1364.60076Touboul, Jonathan; Wainrib, Gilles 3 2015 Limits and dynamics of randomly connected neuronal networks. Zbl 1328.82033Quiñinao, Cristobal; Touboul, Jonathan 3 2015 The heterogeneous gas with singular interaction: generalized circular law and heterogeneous renormalized energy. Zbl 1311.82044del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan 2 2015 Competition and boundary formation in heterogeneous media: application to neuronal differentiation. Zbl 1325.35237Perthame, Benoît; Quiñinao, Cristóbal; Touboul, Jonathan 1 2015 Propagation of chaos in neural fields. Zbl 1305.60107Touboul, Jonathan 23 2014 Index distribution of the Ginibre ensemble. Zbl 1290.82024Allez, Romain; Touboul, Jonathan; Wainrib, Gilles 7 2014 Spatially extended networks with singular multi-scale connectivity patterns. Zbl 1310.82036Touboul, Jonathan 6 2014 Pulsatile localized dynamics in delayed neural field equations in arbitrary dimension. Zbl 1345.92039Faye, Grégory; Touboul, Jonathan 1 2014 Large deviations, dynamics and phase transitions in large stochastic and disordered neural networks. Zbl 1291.82099Cabana, Tanguy; Touboul, Jonathan 6 2013 Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons. Zbl 1322.60205Baladron, Javier; Fasoli, Diego; Faugeras, Olivier; Touboul, Jonathan 35 2012 Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier 27 2012 Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions. Zbl 1317.92021Touboul, Jonathan 12 2012 Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain. Zbl 1262.35207Touboul, Jonathan 1 2012 On the simulation of nonlinear bidimensional spiking neuron models. Zbl 1218.92024Touboul, Jonathan 2 2011 Spiking dynamics of bidimensional integrate-and-fire neurons. Zbl 1204.37019Touboul, Jonathan; Brette, Romain 17 2009 Importance of the cutoff value in the quadratic adaptive integrate-and-fire model. Zbl 1167.92008Touboul, Jonathan 13 2009 Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Zbl 1161.92016Touboul, Jonathan; Brette, Romain 14 2008 A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1147.60027Touboul, Jonathan; Faugeras, Olivier 7 2008 Nonlinear and stochastic models in neuroscience. Zbl 1185.92027Touboul, Jonathan 1 2008 all cited Publications top 5 cited Publications 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 all top 5 Cited in 29 Fields 97 Biology and other natural sciences (92-XX) 67 Probability theory and stochastic processes (60-XX) 38 Ordinary differential equations (34-XX) 36 Dynamical systems and ergodic theory (37-XX) 34 Statistical mechanics, structure of matter (82-XX) 33 Partial differential equations (35-XX) 13 Systems theory; control (93-XX) 9 Combinatorics (05-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Numerical analysis (65-XX) 5 Statistics (62-XX) 4 Computer science (68-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Citations by Year