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hal-01414872
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Preprints, Working Papers, ...
Paul Bressloff
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Olivier Faugeras
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On the Hamiltonian structure of large deviations in stochastic hybrid systems
2016
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Asymptotic behaviour of a network of neurons with random linear interactions
2020
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Large Deviations of a Spatially-Stationary Network of Interacting Neurons
2016
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Asymptotic Stability of Pseudo-simple Heteroclinic Cycles in $\mathbb{R}^4$
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Dynamical Systems
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Pascal Chossat
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Alexander Lohse
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Olga Podvigina
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Pseudo-simple heteroclinic cycles in $\mathbb{R}^4$
Physica D: Nonlinear Phenomena
, Elsevier, 2018, 372, pp.1 - 21.
⟨10.1016/j.physd.2018.01.008⟩
hal-02460169
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Benjamin Aymard
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On simulation of reaction-diffusion systems containing self and cross-diffusion
2020
hal-02972553
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Marzena Ciszak
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Francesco Marino
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Alessandro Torcini
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Simona Olmi
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Emergent excitability in populations of nonexcitable units
Physical Review E
, American Physical Society (APS), 2020, 102, pp.050201(R)
hal-02972582
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Andrea Ceni
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Alessandro Torcini
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David Angulo-Garcia
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Cross frequency coupling in next generation inhibitory neural mass models
Chaos: An Interdisciplinary Journal of Nonlinear Science
, American Institute of Physics, 2020, 30 (5), pp.053121.
⟨10.1063/1.5125216⟩
hal-02972588
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Marco Segneri
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Hongjie Bi
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Simona Olmi
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Alessandro Torcini
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Theta-Nested Gamma Oscillations in Next Generation Neural Mass Models
Frontiers in Computational Neuroscience
, Frontiers, 2020, 14,
⟨10.3389/fncom.2020.00047⟩
hal-02972545
v2
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Halgurd Taher
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Alessandro Torcini
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Simona Olmi
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Exact neural mass model for synaptic-based working memory
PLoS Computational Biology
, Public Library of Science, 2020, 16 (12), pp.e1008533.
⟨10.1371/journal.pcbi.1008533⟩
hal-01939157
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Elif Köksal Ersöz
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Mathieu Desroches
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Antoni Guillamon
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John Rinzel
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Canard-induced complex oscillations in an excitatory network
Journal of Mathematical Biology
, Springer Verlag (Germany), 2020, 80 (7), pp.2075-2107.
⟨10.1007/s00285-020-01490-1⟩
hal-02925025
v2
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Quentin Cormier
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Etienne Tanré
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Romain Veltz
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Hopf bifurcation in a Mean-Field model of spiking neurons
2020
hal-01254053
v3
Journal articles
Fabien Campillo
,
Nicolas Champagnat
,
Coralie Fritsch
.
On the variations of the principal eigenvalue with respect to a parameter in growth-fragmentation models
Communications in Mathematical Sciences
, International Press, 2017, 15 (7), pp.1801-1819.
⟨10.4310/CMS.2017.v15.n7.a1⟩
hal-01950511
v1
Journal articles
Axel Dolcemascolo
,
Bruno Garbin
,
Bertrand Peyce
,
Romain Veltz
,
Stephane Barland
.
Resonator neuron and triggering multipulse excitability in laser with injected signal
Physical Review E
, American Physical Society (APS), 2018,
⟨10.1103/PhysRevE.98.062211⟩
hal-01402179
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Journal articles
Carlos Aguilar
,
Pascal Chossat
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Maciej Krupa
,
Frédéric Lavigne
.
Latching dynamics in neural networks with synaptic depression
PLoS ONE
, Public Library of Science, 2017, 12 (8),
⟨10.1371/journal.pone.0183710⟩
hal-01342978
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Journal articles
Soledad Fernández-García
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Maciej Krupa
,
Frédérique Clément
.
Mixed-Mode Oscillations in a piecewise linear system with multiple time scale coupling
Physica D: Nonlinear Phenomena
, Elsevier, 2016, 332, pp.9-22.
⟨10.1016/j.physd.2016.06.002⟩
hal-01414902
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Journal articles
Sid Visser
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Rachel Nicks
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Olivier Faugeras
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Stephen Coombes
.
Standing and travelling waves in a spherical brain model: the Nunez model revisited
Physica D: Nonlinear Phenomena
, Elsevier, 2017, 349, pp.27-45
hal-03047172
v1
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Otti d'Huys
,
Romain Veltz
,
Axel Dolcemascolo
,
Francesco Marino
,
Stephane Barland
.
Canard resonance: on noise-induced ordering of trajectories in heterogeneous networks of slow-fast systems
Journal of Physics: Photonics
, IOP Science, In press,
⟨10.1088/2515-7647/abcbe3⟩
hal-01654634
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Journal articles
Pascal Chossat
,
Martin Krupa
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Consecutive and non-consecutive heteroclinic cycles in Hopfield networks
Dynamical Systems
, Taylor & Francis, 2017, Equivariance and Beyond: M. Golubitsky's 70th Birthday, 32 (1), pp.46-60
hal-02334715
v1
Journal articles
Harun Baldemir
,
Daniele Avitabile
,
Krasimira Tsaneva-Atanasova
.
Pseudo-plateau bursting and mixed-mode oscillations in a model of developing inner hair cells
Communications in Nonlinear Science and Numerical Simulation
, Elsevier, 2020, 80, pp.104979.
⟨10.1016/j.cnsns.2019.104979⟩
hal-01412154
v1
Journal articles
Audric Drogoul
,
Romain Veltz
.
Hopf bifurcation in a nonlocal nonlinear transport equation stemming from stochastic neural dynamics
Chaos: An Interdisciplinary Journal of Nonlinear Science
, American Institute of Physics, 2017,
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hal-01653166
v1
Preprints, Working Papers, ...
Romain Veltz
.
Inverse correlation processing by neurons with active dendrites
2017
hal-02341025
v1
Journal articles
Áine Byrne
,
Daniele Avitabile
,
Stephen Coombes
.
Next-generation neural field model: The evolution of synchrony within patterns and waves
Physical Review E
, American Physical Society (APS), 2019, 99 (1),
⟨10.1103/PhysRevE.99.012313⟩
hal-01653178
v1
Journal articles
Tomasz Gorski
,
Romain Veltz
,
Mathieu Galtier
,
Helissande Fragnaud
,
Jennifer S. Goldman
et al.
Dendritic sodium spikes endow neurons with inverse firing rate response to correlated synaptic activity.
Journal of Computational Neuroscience
, Springer Verlag, 2018, 45 (3), pp.223-234.
⟨10.1007/s10827-018-0707-7⟩
hal-02374320
v1
Journal articles
Liudmila Tumash
,
Simona Olmi
,
Eckehard Schöll
.
Influence of disorder and noise in controlling the dynamics of power grids
IFAC-PapersOnLine
, Elsevier, 2018, 51 (33), pp.44-49.
⟨10.1016/j.ifacol.2018.12.088⟩
hal-02383643
v1
Journal articles
Pascal Chossat
.
The hyperbolic model for edge and texture detection in the primary visual cortex
Journal of Mathematical Neuroscience
, BioMed Central, 2020, 10 (2), pp.1-30.
⟨10.1186/s13408-020-0079-y⟩
inserm-02146511
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Journal articles
Simona Olmi
,
Spase Petkoski
,
Maxime Guye
,
Fabrice Bartolomei
,
Viktor Jirsa
.
Controlling seizure propagation in large-scale brain networks
PLoS Computational Biology
, Public Library of Science, 2019, 15 (2), pp.e1006805.
⟨10.1371/journal.pcbi.1006805⟩
hal-02000172
v1
Preprints, Working Papers, ...
Olivier Faugeras
,
James Maclaurin
,
Etienne Tanré
.
The mean-field limit of a network of Hopfield neurons with correlated synaptic weights
2019
hal-01652036
v1
Poster communications
Pascal Helson
,
Etienne Tanré
,
Romain Veltz
.
A simple spiking neuron model based on stochastic STDP
International Conference on Mathematical Neuroscience
, May 2017, Boulder, United States
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