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McKean caricature of the FitzHugh-Nagumo model: Traveling pulses in a discrete diffusive medium

 Arnaud Tonnelier
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2003, pp.036105
Article dans une revue hal-00393692v1
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Voltage-stepping schemes for the simulation of spiking neural networks

 Gang Zheng , Arnaud Tonnelier , Dominique Martinez
Journal of Computational Neuroscience, 2009, 26 (3), pp.409-423. ⟨10.1007/s10827-008-0119-1⟩
Article dans une revue inria-00189386v4
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Cyclic negative feedback systems: what is the chance of oscillation?

 Arnaud Tonnelier
Bulletin of Mathematical Biology, 2014, 76 (5), pp.1155-1193. ⟨10.1007/s11538-014-9959-1⟩
Article dans une revue hal-00919629v1
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Solitary waves in the excitable Burridge-Knopoff model

 José Eduardo Morales Morales , Guillaume James , Arnaud Tonnelier
[Research Report] RR-8996, INRIA Grenoble - Rhône-Alpes. 2016
Rapport hal-01411897v1
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Signal propagations along excitable chains

 Arnaud Tonnelier
SIAM Journal on Applied Dynamical Systems, 2019, 18 (3), pp.1391-1419. ⟨10.1137/18M1234229⟩
Article dans une revue hal-02180588v1

On the numerical simulation of nonlinear integrate-and-fire neurons

 Arnaud Tonnelier
Transgressive Computing, Apr 2006, Granada, Spain. pp.381-386
Communication dans un congrès hal-00104080v1
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Stabilization of pulse waves through inhibition in a feedforward neural network

 Arnaud Tonnelier
Physica D: Nonlinear Phenomena, 2005, 210, pp.118-137
Article dans une revue hal-00390718v1

Pulse propagation in discrete excitatory networks of integrate-and-fire neurons

 Laurent Badel , Arnaud Tonnelier
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2004, 70 (1), pp.011906-1--011906-7
Article dans une revue inria-00000584v1

Metal-insulator transition materials for bioinspired functions implementation

 Arnaud Beaumont , Jean-Christophe Orlianges , Alexandre Boulle , Samir Adly , Arnaud Tonnelier , et al.
Le premier colloque du GDR BioComp 4 au 8 octobre 2015 à Saint Paul de Vence, France, Oct 2015, Saint Paul de Vence, France
Poster de conférence hal-01226172v1

Bifurcation properties of the average activity of interconnected neural populations

 Arnaud Tonnelier
Biological Cybernetics (Modeling), 2003, 89 (3), pp.179-189
Article dans une revue hal-00393679v1
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Sustainability or societal collapse, dynamics and bifurcations of the handy model

 Arnaud Tonnelier
SIAM Journal on Applied Dynamical Systems, 2023, 22 (3), ⟨10.1137/22m1494336⟩
Article dans une revue hal-03659720v2
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On the number of limit cycles in piecewise linear Liénard systems

 Arnaud Tonnelier
International journal of bifurcation and chaos in applied sciences and engineering , 2005, 15 (4), pp.1417-1422
Article dans une revue inria-00000583v2

The McKean's caricature of the FitzHugh-Nagumo model. I: The space-clamped system

 Arnaud Tonnelier
SIAM Journal on Applied Mathematics, 2002, 63 (2), pp.459-484
Article dans une revue hal-00393725v1
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Synchronization and desynchronization of neural oscillators

 Arnaud Tonnelier , Sylvain Meignen , Holger Bosch , Jacques Demongeot
Neural Networks, 1999, 12, pp.1213-1228
Article dans une revue hal-00393752v1
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Traveling waves in a spring-block chain sliding down a slope

 Jose Eduardo Morales , Guillaume James , Arnaud Tonnelier
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2017, 96 (1), pp.012227. ⟨10.1103/PhysRevE.96.012227⟩
Article dans une revue hal-01630039v1
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Chaotic solutions in the quadratic integrate-and-fire neuron with adaptation

 Gang Zheng , Arnaud Tonnelier
Cognitive Neurodynamics, 2009, 3 (3), pp.197-204. ⟨10.1007/s11571-008-9069-6⟩
Article dans une revue inria-00300794v1
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Structuring process and closure principle in spatial and temporal reproduction tasks

 Jean Christophe Sarrazin , Arnaud Tonnelier , Bruno Berberian , Marie-Dominique Giraudo
Cognitive Neurodynamics, 2008, 2 (3), pp.273-282. ⟨10.1007/s11571-008-9039-z⟩
Article dans une revue hal-00386465v1
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Solitary waves in the excitable Burridge-Knopoff Model

 Jose Eduardo Morales Morales , Guillaume James , Arnaud Tonnelier
EuroMech Colloquium 580: "Strongly nonlinear dynamics and acoustics of granular metamaterials", Jul 2016, Grenoble, France.
Poster de conférence hal-01367310v1

Wave propagation in discrete media

 Arnaud Tonnelier
Journal of Mathematical Biology, 2002, 44, pp.87-105
Article dans une revue hal-00393730v1
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Simulation de réseaux de neurones intègre-et-tire non linéaires par discrétisation du potentiel

 Mohamed Ghaith Kaabi , Gang Zheng , Arnaud Tonnelier , Dominique Martinez
Deuxième conférence française de Neurosciences Computationnelles, "Neurocomp08", Oct 2008, Marseille, France
Communication dans un congrès hal-00331595v1
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Travelling waves in a spring-block chain sliding down a slope

 José Eduardo Morales Morales , Guillaume James , Arnaud Tonnelier
[Research Report] RR-8995, INRIA Grenoble - Rhône-Alpes. 2016
Rapport hal-01411516v1
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Propagation of spike sequences in neural networks

 Arnaud Tonnelier
SIAM Journal on Applied Dynamical Systems, 2010, 9 (3), pp.1090-1118. ⟨10.1137/100782504⟩
Article dans une revue hal-00525420v1
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Threshold Curve for the Excitability of Bidimensional Spiking Neurons

 Arnaud Tonnelier
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2014, 90 (2), pp.022701. ⟨10.1103/PhysRevE.90.022701⟩
Article dans une revue hal-01055045v1

A model of contextual effect on reproduced extents in recall tasks: The issue of the imputed motion hypothesis

 Jean Christophe Sarrazin , Arnaud Tonnelier , Frédéric Alexandre
Biological Cybernetics (Modeling), 2005, 92 (5), pp.303--315. ⟨10.1007/s00422-005-0553-3⟩
Article dans une revue istex inria-00000582v1
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Categorization of neural excitability using threshold models

 Arnaud Tonnelier
Neural Computation, 2005, 17 (7), pp.1447-1455
Article dans une revue inria-00000581v2
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Event-driven simulations of nonlinear integrate-and-fire neurons

 Arnaud Tonnelier , Hana Belmabrouk , Dominique Martinez
Neural Computation, 2007, 19 (12), pp.3226-3238. ⟨10.1162/neco.2007.19.12.3226⟩
Article dans une revue inria-00103500v1
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On the Performance of Voltage Stepping for the Simulation of Adaptive, Nonlinear Integrate-and-Fire Neuronal Networks

 Mohamed Ghaith Kaabi , Arnaud Tonnelier , Dominique Martinez
Neural Computation, 2011, 23 (5), pp.1187-1204. ⟨10.1162/NECO_a_00112⟩
Article dans une revue inria-00611646v1
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Screening of chemicals for human bioaccumulative potential with a physiologically based toxicokinetic model

 Arnaud Tonnelier , Sandra Coecke , José-Manuel Zaldìvar
Archives of Toxicology, 2012, 86 (3), pp.393-403. ⟨10.1007/s00204-011-0768-0⟩
Article dans une revue hal-00648172v1
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Solitary waves in the excitable Burridge-Knopoff model

 Jose Eduardo Morales , Guillaume James , Arnaud Tonnelier
Wave Motion, 2018, 76, pp.103-121. ⟨10.1016/j.wavemoti.2017.10.001⟩
Article dans une revue hal-01634470v1
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Exact solutions for signal propagation along an excitable transmission line

 Arnaud Tonnelier
Physical Review E , 2024, 109, pp.014219. ⟨10.1103/PhysRevE.109.014219⟩
Article dans une revue hal-04349848v1
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