Edit Profile (opens in new tab) Touboul, Jonathan David Compute Distance To: Compute Author ID: 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: 15 Co-Authors with 19 Joint Publications 555 Co-Co-Authors all top 5 Co-Authors 10 single-authored 4 Faugeras, Olivier D. 4 Quiñinao, Cristobal 3 Cabana, Tanguy 3 Rubin, Jonathan E. 3 Signerska-Rynkowska, Justyna 3 Wainrib, Gilles 2 Belibassakis, Konstadinos A. 2 Brette, Romain 2 del Molino, Luis Carlos García 2 Krupa, Maciej 2 Levin, Simon Asher 2 Pakdaman, Khashayar 2 Vidal, Alexandre 1 Allez, Romain 1 Baladron, Javier 1 Desroches, Mathieu 1 Fasoli, Diego 1 Faye, Grégory 1 Hermann, Geoffroy 1 Kraenkel, Roberto A. 1 Krupa, Martin 1 Manna, Miguel A. 1 Mischler, Stéphane 1 Noubissié, Samuel 1 Patterson, Denis D. 1 Perthame, Benoît 1 Robert, Philippe 1 Romagnoni, Alberto 1 Schwartz, Robert N. 1 Staver, Ann Carla 1 Staver, Carla all top 5 Serials 5 SIAM Journal on Applied Dynamical Systems 4 Journal of Statistical Physics 4 Wave Motion 3 Advances in Applied Probability 3 Neural Computation 3 Discrete and Continuous Dynamical Systems. Series B 2 Physica D 2 The Annals of Applied Probability 2 SIAM Journal on Applied Mathematics 2 Journal of Computational Neuroscience 2 Journal of Physics A: Mathematical and Theoretical 2 Mathematical Control and Related Fields 1 Biological Cybernetics 1 Communications in Mathematical 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 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 The Journal of Mathematical Neuroscience all top 5 Fields 26 Biology and other natural sciences (92-XX) 16 Probability theory and stochastic processes (60-XX) 11 Ordinary differential equations (34-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Partial differential equations (35-XX) 5 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 Difference and functional equations (39-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 327 times in 75 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 54 2012 Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier 34 2012 Propagation of chaos in neural fields. Zbl 1305.60107Touboul, Jonathan 28 2014 Spiking dynamics of bidimensional integrate-and-fire neurons. Zbl 1204.37019Touboul, Jonathan; Brette, Romain 21 2009 On a kinetic FitzHugh-Nagumo model of neuronal network. Zbl 1338.35001Mischler, S.; Quiñinao, C.; Touboul, J. 21 2016 On the dynamics of random neuronal networks. Zbl 1360.82071Robert, Philippe; Touboul, Jonathan 19 2016 Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Zbl 1161.92016Touboul, Jonathan; Brette, Romain 17 2008 Importance of the cutoff value in the quadratic adaptive integrate-and-fire model. Zbl 1167.92008Touboul, Jonathan 15 2009 Mean-field equations for stochastic firing-rate neural fields with delays: derivation and noise-induced transitions. Zbl 1317.92021Touboul, Jonathan 12 2012 Complex oscillations in the delayed Fitzhugh-Nagumo equation. Zbl 1337.34079Krupa, Maciej; Touboul, Jonathan D. 12 2016 Large deviations, dynamics and phase transitions in large stochastic and disordered neural networks. Zbl 1291.82099Cabana, Tanguy; Touboul, Jonathan 9 2013 A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1147.60027Touboul, Jonathan; Faugeras, Olivier 8 2008 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 7 2014 The hipster effect: when anti-conformists all look the same. Zbl 1427.82026Touboul, Jonathan D. 5 2019 Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients. Zbl 1364.60076Touboul, Jonathan; Wainrib, Gilles 5 2015 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 5 2017 Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. Zbl 1447.35335Quininao, Cristobal; Touboul, Jonathan D. 5 2020 Canard explosion in delay differential equations. Zbl 1350.34059Krupa, Maciej; Touboul, Jonathan D. 5 2016 Limits and dynamics of randomly connected neuronal networks. Zbl 1328.82033Quiñinao, Cristobal; Touboul, Jonathan 4 2015 Large deviations for randomly connected neural networks. I: Spatially extended systems. Zbl 1442.60036Cabana, Tanguy; Touboul, Jonathan D. 4 2018 On the complex dynamics of savanna landscapes. Zbl 1416.92185Touboul, Jonathan David; Staver, Ann Carla; Levin, Simon Asher 4 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 4 2017 The heterogeneous gas with singular interaction: generalized circular law and heterogeneous renormalized energy. Zbl 1311.82044del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan 3 2015 Erratum to: “Propagation of chaos in neural fields”. Zbl 1434.60304Touboul, Jonathan 2 2018 On the simulation of nonlinear bidimensional spiking neuron models. Zbl 1218.92024Touboul, Jonathan 2 2011 Nonlinear and stochastic models in neuroscience. Zbl 1185.92027Touboul, Jonathan 2 2008 Large deviations for randomly connected neural networks. II: State-dependent interactions. Zbl 1431.60030Cabana, Tanguy; Touboul, Jonathan D. 2 2018 A coupled-mode model for water wave scattering by vertically sheared currents in variable bathymetry regions. Zbl 07213191Belibassakis, K. A.; Simon, B.; Touboul, J.; Rey, V. 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 Probabilistic foundations of spatial mean-field models in ecology and applications. Zbl 1466.60050Patterson, Denis D.; Levin, Simon A.; Staver, Carla; Touboul, Jonathan D. 2 2020 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 Noise-induced canard and mixed-mode oscillations in large-scale stochastic networks. Zbl 1344.34070Touboul, Jonathan D.; Krupa, Martin; Desroches, Mathieu 1 2015 Competition and boundary formation in heterogeneous media: application to neuronal differentiation. Zbl 1325.35237Perthame, Benoît; Quiñinao, Cristóbal; Touboul, Jonathan 1 2015 Finite-size and correlation-induced effects in mean-field dynamics. Zbl 1446.92086Touboul, Jonathan D.; Ermentrout, G. Bard 1 2011 Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. Zbl 1447.35335Quininao, Cristobal; Touboul, Jonathan D. 5 2020 Probabilistic foundations of spatial mean-field models in ecology and applications. Zbl 1466.60050Patterson, Denis D.; Levin, Simon A.; Staver, Carla; Touboul, Jonathan D. 2 2020 The hipster effect: when anti-conformists all look the same. Zbl 1427.82026Touboul, Jonathan D. 5 2019 Large deviations for randomly connected neural networks. I: Spatially extended systems. Zbl 1442.60036Cabana, Tanguy; Touboul, Jonathan D. 4 2018 On the complex dynamics of savanna landscapes. Zbl 1416.92185Touboul, Jonathan David; Staver, Ann Carla; Levin, Simon Asher 4 2018 Erratum to: “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. 2 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 5 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 4 2017 A coupled-mode model for water wave scattering by vertically sheared currents in variable bathymetry regions. Zbl 07213191Belibassakis, K. A.; Simon, B.; Touboul, J.; Rey, V. 2 2017 On a kinetic FitzHugh-Nagumo model of neuronal network. Zbl 1338.35001Mischler, S.; Quiñinao, C.; Touboul, J. 21 2016 On the dynamics of random neuronal networks. Zbl 1360.82071Robert, Philippe; Touboul, Jonathan 19 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. 5 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 5 2015 Limits and dynamics of randomly connected neuronal networks. Zbl 1328.82033Quiñinao, Cristobal; Touboul, Jonathan 4 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 3 2015 Noise-induced canard and mixed-mode oscillations in large-scale stochastic networks. Zbl 1344.34070Touboul, Jonathan D.; Krupa, Martin; Desroches, Mathieu 1 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 28 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 7 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 9 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 54 2012 Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier 34 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 Finite-size and correlation-induced effects in mean-field dynamics. Zbl 1446.92086Touboul, Jonathan D.; Ermentrout, G. Bard 1 2011 Spiking dynamics of bidimensional integrate-and-fire neurons. Zbl 1204.37019Touboul, Jonathan; Brette, Romain 21 2009 Importance of the cutoff value in the quadratic adaptive integrate-and-fire model. Zbl 1167.92008Touboul, Jonathan 15 2009 Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Zbl 1161.92016Touboul, Jonathan; Brette, Romain 17 2008 A characterization of the first hitting time of double integral processes to curved boundaries. Zbl 1147.60027Touboul, Jonathan; Faugeras, Olivier 8 2008 Nonlinear and stochastic models in neuroscience. Zbl 1185.92027Touboul, Jonathan 2 2008 all cited Publications top 5 cited Publications all top 5 Cited by 140 Authors 9 Touboul, Jonathan David 4 Mischler, Stéphane 4 Signerska-Rynkowska, Justyna 3 Cáceres, María-José 3 Mao, Xiaochen 3 Reis, Guilherme H. 3 Rubin, Jonathan E. 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 Oliveira, Roberto Imbuzeiro 2 Poquet, Christophe 2 Quiñinao, Cristobal 2 Roux, Pierre 2 Schneider, Ricarda 2 Vidal, Alexandre 2 Weng, Qilong 1 Al Saadi, Fahad 1 Aleandri, Michele 1 Appadu, A. R. 1 Avitabile, Daniele 1 Baldasso, Rangel 1 Barreiro, Andrea K. 1 Baspinar, Emre 1 Bossy, Mireille 1 Breña-Medina, Víctor F. 1 Caines, Peter Edwin 1 Cang, Shijian 1 Cao, Chuqi 1 Cerf, Raphaël 1 Champneys, Alan R. 1 Chapwanya, Michael 1 Chen, Zengqiang 1 Cherry, Elizabeth M. 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 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, Shaofan 1 Liu, Shenquan 1 Lu, Bo 1 Lu, Qishao 1 Lubetzky, Eyal 1 Lubuma, Jean Mbaro-Saman 1 MacLaurin, James N. 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 1 Panzeri, Stefano 1 Patterson, Denis D. 1 Pelino, Guglielmo 1 Pereira, Alan S. 1 Perthame, Benoît 1 Phan, Chi 1 Poindron, Alexis 1 Rameh, Raffael Bechara 1 Ramos-Lora, Alejandro ...and 40 more Authors all top 5 Cited in 45 Serials 5 Journal of Statistical Physics 5 The Annals of Applied Probability 5 Chaos 4 Nonlinear Dynamics 4 SIAM Journal on Applied Dynamical Systems 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 Acta Applicandae Mathematicae 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Evolution Equations 2 Kinetic and Related Models 1 Biological Cybernetics 1 Communications in Mathematical Physics 1 Journal of Mathematical Biology 1 Nonlinearity 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Computation 1 SIAM Journal on Control and Optimization 1 Mathematical Social Sciences 1 Physica D 1 Probability Theory and Related Fields 1 Applied Mathematical Modelling 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 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 all top 5 Cited in 17 Fields 47 Biology and other natural sciences (92-XX) 26 Partial differential equations (35-XX) 22 Ordinary differential equations (34-XX) 21 Dynamical systems and ergodic theory (37-XX) 18 Probability theory and stochastic processes (60-XX) 18 Statistical mechanics, structure of matter (82-XX) 5 Combinatorics (05-XX) 4 Operator theory (47-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Numerical analysis (65-XX) 2 Integral equations (45-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Mathematics education (97-XX) Citations by Year