Large deviations for langevin spin glass dynamics, Probability Theory and Related Fields, pp.455-509, 1995. ,
DOI : 10.1007/bf01195482
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.7465
Dynamical Aspects of Mean Field Plane Rotators and?the?Kuramoto Model, Journal of Statistical Physics, vol.63, issue.3, pp.270-290, 2010. ,
DOI : 10.1007/978-3-642-84371-6
URL : https://hal.archives-ouvertes.fr/hal-00497541
Clarification and Complement to ?Mean-Field Description and Propagation of Chaos in Networks of Hodgkin?Huxley and FitzHugh?Nagumo Neurons?, The Journal of Mathematical Neuroscience (JMN), vol.11, issue.4, 2015. ,
DOI : 10.1186/s13408-015-0031-8
URL : https://hal.archives-ouvertes.fr/hal-01098582
Non linear stability of finite volume methods for hyperbolic conservation laws and well balanced schemes for sources, 2004. ,
Adaptive Exponential Integrate-and-Fire Model as an Effective Description of Neuronal Activity, Journal of Neurophysiology, vol.94, issue.5, pp.3637-3642, 2005. ,
DOI : 10.1152/jn.00686.2005
Dynamics of sparsely connected networks of excitatory and inhibitory spiking networks, Journal of Computational Neuroscience, vol.8, issue.3, pp.183-208, 2000. ,
DOI : 10.1023/A:1008925309027
Fast Global Oscillations in Networks of Integrate-and-Fire Neurons with Low Firing Rates, Neural Computation, vol.15, issue.7, pp.1621-1671, 1999. ,
DOI : 10.1038/373612a0
Analysis of Nonlinear Noisy Integrate&Fire Neuron Models: blow-up and steady states, The Journal of Mathematical Neuroscience, vol.1, issue.1, pp.1-7, 2011. ,
DOI : 10.1007/s11118-008-9093-5
Beyond blow-up in excitatory integrate and fire neuronal networks: Refractory period and spontaneous activity, Journal of Theoretical Biology, vol.350, pp.81-89, 2014. ,
DOI : 10.1016/j.jtbi.2014.02.005
Classical Solutions for a Nonlinear Fokker-Planck Equation Arising in Computational Neuroscience, Communications in Partial Differential Equations, vol.8, issue.3, pp.385-409, 2013. ,
DOI : 10.1080/09548980500421154
Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience, Nonlinearity, pp.28-3365, 2015. ,
Hyperbolic conservation laws in continuum physics, Grundlehren der Mathematischen Wissenschaften, 2000. ,
DOI : 10.1007/978-3-662-49451-6
Mckean-vlasov limit for interacting random processes in random media, Journal of statistical physics, vol.84, pp.735-772, 1996. ,
DOI : 10.1007/bf02179656
URL : https://pure.tue.nl/ws/files/4230918/439767.pdf
Mathematical analysis and numerical methods for science and technology Evolution problems. II, With the collaboration of Claude Bardos, 1993. ,
DOI : 10.1007/978-3-642-58004-8
Hydrodynamic Limit for Interacting Neurons, Journal of Statistical Physics, vol.11, issue.3, pp.866-902, 2015. ,
DOI : 10.1007/s10955-014-1145-1
Global solvability of a networked integrate-and-fire model of McKean?Vlasov type, The Annals of Applied Probability, vol.25, issue.4, pp.25-2096, 2015. ,
DOI : 10.1214/14-AAP1044
URL : https://hal.archives-ouvertes.fr/hal-00747565
Multiscale analysis of slow-fast neuronal learning models with noise, The Journal of Mathematical Neuroscience, vol.2, issue.1, pp.1-64, 2012. ,
DOI : 10.1186/2190-8567-2-13
URL : https://hal.archives-ouvertes.fr/hal-00821204
A Biological Gradient Descent for Prediction Through a Combination of STDP and Homeostatic Plasticity, Neural Computation, vol.20, issue.23, pp.2815-2832, 2013. ,
DOI : 10.1103/PhysRevE.75.051917
Mathematical formulations of Hebbian learning, Biological Cybernetics, vol.87, issue.5-6, pp.404-415, 2002. ,
DOI : 10.1007/s00422-002-0353-y
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.20.2448
Spiking neuron models: Single neurons, populations, plasticity, 2002. ,
DOI : 10.1017/CBO9780511815706
The organization of behavior: A neuropsychological approach, 1949. ,
Neural networks and physical systems with emergent collective computational abilities, Proceedings of the national academy of sciences, pp.2554-2558, 1982. ,
Finite volume methods for hyperbolic problems, 2002. ,
DOI : 10.1017/CBO9780511791253
Synaptic plasticity and memory: an evaluation of the hypothesis, Annual review of neuroscience, pp.649-711, 2000. ,
Systems of conservation laws, I, 1999. ,