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Arnaud Tonnelier
Arnaud Tonnelier
Verified email at inria.fr
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Cited by
Cited by
Year
Piecewise linear differential equations and integrate-and-fire neurons: insights from two-dimensional membrane models
A Tonnelier, W Gerstner
Physical Review E 67 (2), 021908, 2003
902003
The McKean's caricature of the Fitzhugh--Nagumo model I. The space-clamped system
A Tonnelier
SIAM Journal on Applied Mathematics 63 (2), 459-484, 2003
772003
Screening of chemicals for human bioaccumulative potential with a physiologically based toxicokinetic model
A Tonnelier, S Coecke, JM Zaldívar
Archives of toxicology 86, 393-403, 2012
752012
Synchronization and desynchronization of neural oscillators
A Tonnelier, S Meignen, H Bosch, J Demongeot
Neural Networks 12 (9), 1213-1228, 1999
651999
McKean caricature of the FitzHugh-Nagumo model: Traveling pulses in a discrete diffusive medium
A Tonnelier
Physical Review E 67 (3), 036105, 2003
422003
Event-driven simulations of nonlinear integrate-and-fire neurons
A Tonnelier, H Belmabrouk, D Martinez
Neural Computation 19 (12), 3226-3238, 2007
352007
Chaotic solutions in the quadratic integrate-and-fire neuron with adaptation
G Zheng, A Tonnelier
Cognitive neurodynamics 3, 197-204, 2009
242009
On the number of limit cycles in piecewise-linear Liénard systems
A Tonnelier
International Journal of Bifurcation and Chaos 15 (04), 1417-1422, 2005
192005
Wave propagation in discrete media
A Tonnelier
Journal of mathematical biology 44 (1), 87-105, 2002
152002
Threshold curve for the excitability of bidimensional spiking neurons
A Tonnelier
Physical Review E 90 (2), 022701, 2014
142014
Voltage-stepping schemes for the simulation of spiking neural networks
G Zheng, A Tonnelier, D Martinez
Journal of computational neuroscience 26, 409-423, 2009
112009
Categorization of neural excitability using threshold models
A Tonnelier
Neural computation 17 (7), 1447-1455, 2005
102005
Dynamical systems and biological regulations
J Demongeot, J Aracena, SB Lamine, S Meignen, A Tonnelier, R Thomas
Complex systems, 105-149, 2001
102001
A model of contextual effect on reproduced extents in recall tasks: the issue of the imputed motion hypothesis
JC Sarrazin, A Tonnelier, F Alexandre
Biological Cybernetics 92 (5), 303-315, 2005
92005
Solitary waves in the excitable Burridge–Knopoff model
JE Morales, G James, A Tonnelier
Wave Motion 76, 103-121, 2018
72018
Propagation of spike sequences in neural networks
A Tonnelier
SIAM Journal on Applied Dynamical Systems 9 (3), 1090-1118, 2010
62010
Cyclic negative feedback systems: what is the chance of oscillation?
A Tonnelier
Bulletin of mathematical biology 76, 1155-1193, 2014
52014
Stabilization of pulse waves through inhibition in a feedforward neural network
A Tonnelier
Physica D: Nonlinear Phenomena 210 (1-2), 118-137, 2005
52005
Dynamique non-linéaire et bifurcations en neurosciences mathématiques
A Tonnelier
Grenoble 1, 2001
52001
On the performance of voltage stepping for the simulation of adaptive, nonlinear integrate-and-fire neuronal networks
MG Kaabi, A Tonnelier, D Martinez
Neural computation 23 (5), 1187-1204, 2011
42011
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