Dynamics of pattern formation in lateral-inhibition type neural fields, Biological Cybernetics, vol.13, issue.2, pp.77-87, 1977. ,
DOI : 10.1007/BF00337259
Localized states in the generalized Swift-Hohenberg equation, Physical Review E, vol.73, issue.5, p.56211, 2006. ,
DOI : 10.1103/PhysRevE.73.056211
Homoclinic snaking: Structure and stability, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.17, issue.3, p.7102, 2007. ,
DOI : 10.1063/1.2746816
Normal form for spatial dynamics in the Swift?Hohenberg equation, Discret Continuous Dyn Syst Ser S, pp.170-180, 2007. ,
Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics, Physica D: Nonlinear Phenomena, vol.112, issue.1-2, pp.158-186, 1998. ,
DOI : 10.1016/S0167-2789(97)00209-1
Exponential asymptotics of localised patterns and snaking bifurcation diagrams, Physica D: Nonlinear Phenomena, vol.238, issue.3, pp.319-354, 2009. ,
DOI : 10.1016/j.physd.2008.10.005
Bifurcation of Hyperbolic Planforms, Journal of Nonlinear Science, vol.10, issue.8, pp.465-498, 2011. ,
DOI : 10.1007/s00332-010-9089-3
URL : https://hal.archives-ouvertes.fr/hal-00807355
Hyperbolic Planforms in Relation to Visual Edges and Textures Perception, PLoS Computational Biology, vol.33, issue.12, p.1000625, 2009. ,
DOI : 10.1371/journal.pcbi.1000625.s006
URL : https://hal.archives-ouvertes.fr/hal-00807344
Methods in Equivariant Bifurcations and Dynamical Systems, 2000. ,
DOI : 10.1142/4062
Waves and bumps in neuronal networks with axo-dendritic synaptic interactions, Physica D: Nonlinear Phenomena, vol.178, issue.3-4, pp.3-4219, 2003. ,
DOI : 10.1016/S0167-2789(03)00002-2
Waves, bumps, and patterns in neural field theories, Biological Cybernetics, vol.16, issue.2, pp.91-108, 2005. ,
DOI : 10.1007/s00422-005-0574-y
Exploiting the Hamiltonian structure of a neural field model, Physica D: Nonlinear Phenomena, vol.239, issue.9, pp.537-546, 2010. ,
DOI : 10.1016/j.physd.2009.08.004
Abolute stability and complete synchronization in a class of neural fields models, SIAM J Appl Math, vol.61, issue.1, pp.205-250, 2008. ,
Bifurcation Diagrams and Heteroclinic Networks of Octagonal H-Planforms, Journal of Nonlinear Science, vol.13, issue.2, 2011. ,
DOI : 10.1007/s00332-011-9118-x
URL : https://hal.archives-ouvertes.fr/hal-00807364
Analysis of a hyperbolic geometric model for visual texture perception, The Journal of Mathematical Neuroscience, vol.1, issue.1, 2011. ,
DOI : 10.1137/090773611
URL : https://hal.archives-ouvertes.fr/hal-00784424
Breathing Pulses in an Excitatory Neural Network, SIAM Journal on Applied Dynamical Systems, vol.3, issue.3, pp.378-407, 2004. ,
DOI : 10.1137/030602629
Breathers in Two-Dimensional Neural Media, Physical Review Letters, vol.95, issue.20, p.208107, 2005. ,
DOI : 10.1103/PhysRevLett.95.208107
Existence and Stability of Standing Pulses in Neural Networks: II. Stability, SIAM Journal on Applied Dynamical Systems, vol.4, issue.2, pp.249-281, 2005. ,
DOI : 10.1137/040609483
Existence and Stability of Standing Pulses in Neural Networks: I. Existence, SIAM Journal on Applied Dynamical Systems, vol.4, issue.2, pp.217-248, 2005. ,
DOI : 10.1137/040609471
Local bifurcations, center manifolds, and normal forms in infinite dimensional systems, EDP Sci, 2010. ,
DOI : 10.1007/978-0-85729-112-7
URL : https://hal.archives-ouvertes.fr/hal-00877080
Perturbed Homoclinic Solutions in Reversible 1:1 Resonance Vector Fields, Journal of Differential Equations, vol.102, issue.1, pp.62-88, 1993. ,
DOI : 10.1006/jdeq.1993.1022
URL : https://hal.archives-ouvertes.fr/hal-01271158
Field Theory of Electromagnetic Brain Activity, Physical Review Letters, vol.77, issue.5, pp.960-963, 1996. ,
DOI : 10.1103/PhysRevLett.77.960
Stability of bumps in piecewise smooth neural fields with nonlinear adaptation, Physica D: Nonlinear Phenomena, vol.239, issue.12, pp.1048-1060, 2010. ,
DOI : 10.1016/j.physd.2010.02.016
Asymptotics of Large Bound States of Localized Structures, Physical Review Letters, vol.97, issue.4, pp.44502-44503, 2006. ,
DOI : 10.1103/PhysRevLett.97.044502
PDE Methods for Nonlocal Models, SIAM Journal on Applied Dynamical Systems, vol.2, issue.3, pp.487-516, 2003. ,
DOI : 10.1137/030600040
Multiple Bumps in a Neuronal Model of Working Memory, SIAM Journal on Applied Mathematics, vol.63, issue.1, pp.62-97, 2002. ,
DOI : 10.1137/S0036139901389495
Two-bump solutions of Amari-type models of neuronal pattern formation, Physica D: Nonlinear Phenomena, vol.178, issue.3-4, pp.190-218, 2003. ,
DOI : 10.1016/S0167-2789(03)00013-7
Localized radial solutions of the Swift???Hohenberg equation, Nonlinearity, vol.22, issue.2, p.485, 2009. ,
DOI : 10.1088/0951-7715/22/2/013
Snaking of radial solutions of the multi-dimensional Swift???Hohenberg equation: A numerical study, Physica D: Nonlinear Phenomena, vol.239, issue.16, pp.1581-1592, 2010. ,
DOI : 10.1016/j.physd.2010.04.004
Derivation of the Time-Dependent Ginzburg-Landau Equation on the Line, Journal of Nonlinear Science, vol.8, issue.1, pp.1-15, 1998. ,
DOI : 10.1007/s003329900041
Bumps and rings in a two-dimensional neural field: splitting and rotational instabilities, New Journal of Physics, vol.9, issue.10, pp.378-401, 2007. ,
DOI : 10.1088/1367-2630/9/10/378
Spatially Structured Activity in Synaptically Coupled Neuronal Networks: II. Lateral Inhibition and Standing Pulses, SIAM Journal on Applied Mathematics, vol.62, issue.1, pp.226-243, 2001. ,
DOI : 10.1137/S0036139900346465
Sustained Spatial Patterns of Activity in Neuronal Populations without Recurrent Excitation, SIAM Journal on Applied Mathematics, vol.64, issue.5, pp.1609-1635, 2001. ,
DOI : 10.1137/S0036139903425806
Illusions in the ring model of visual orientation selectivity, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00846138
A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue, Kybernetik, vol.12, issue.2, pp.55-80, 1973. ,
DOI : 10.1007/BF00288786
Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian???Hopf bifurcation, Physica D: Nonlinear Phenomena, vol.129, issue.3-4, pp.147-170, 1999. ,
DOI : 10.1016/S0167-2789(98)00309-1