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
Dynamics of pattern formation in lateral-inhibition type neural fields, Biological Cybernetics, vol.13, issue.2, pp.77-87, 1977. ,
DOI : 10.1007/BF00337259
Pattern Formation in a Network of Excitatory and Inhibitory Cells with Adaptation, SIAM Journal on Applied Dynamical Systems, vol.3, issue.3, p.191, 2004. ,
DOI : 10.1137/030600503
Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network, Physica D: Nonlinear Phenomena, vol.239, issue.9, pp.547-560, 2010. ,
DOI : 10.1016/j.physd.2009.06.003
Theory of orientation tuning in visual cortex., Proc. Natl. Acad. Sci. USA, pp.3844-3848, 1995. ,
DOI : 10.1073/pnas.92.9.3844
Geometric visual hallucinations, Euclidean symmetry and the functional architecture of striate cortex, Philosophical Transactions of the Royal Society B: Biological Sciences, vol.356, issue.1407, pp.299-3300769, 1407. ,
DOI : 10.1098/rstb.2000.0769
Delays in activity-based neural networks, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.12, issue.1, pp.1117-1129, 2009. ,
DOI : 10.1103/PhysRevA.39.347
Role of Delays in Shaping Spatiotemporal Dynamics of Neuronal Activity in Large Networks, Physical Review Letters, vol.94, issue.23, p.238103, 2005. ,
DOI : 10.1103/PhysRevLett.94.238103
URL : https://hal.archives-ouvertes.fr/hal-00094058
Dynamic instabilities in scalar neural field equations with space-dependent delays, Physica D: Nonlinear Phenomena, vol.232, issue.1, pp.1-15, 2007. ,
DOI : 10.1016/j.physd.2007.04.011
Spatiotemporal pattern formation in neural systems with heterogeneous connection topologies, Physical Review E, vol.62, issue.6, pp.8462-8465, 2000. ,
DOI : 10.1103/PhysRevE.62.8462
Symmetric functional differential equations and neural networks with memory, Transactions of the American Mathematical Society, vol.350, issue.12, pp.4799-4838, 1998. ,
DOI : 10.1090/S0002-9947-98-02083-2
Frustration, Stability, and Delay-Induced Oscillations in a Neural Network Model, SIAM Journal on Applied Mathematics, vol.56, issue.1, pp.245-255, 1996. ,
DOI : 10.1137/S0036139994274526
Stability and Bifurcations of Equilibria in a Multiple-Delayed Differential Equation, SIAM Journal on Applied Mathematics, vol.54, issue.5, pp.1402-1424, 1994. ,
DOI : 10.1137/S0036139993248853
Stability and bifurcation of a simple neural network with multiple time delays, Differential Equations with Application to Biology, pp.65-79, 1999. ,
DOI : 10.1090/fic/021/06
Neural Fields with Distributed Transmission Speeds and Long???Range Feedback Delays, SIAM Journal on Applied Dynamical Systems, vol.5, issue.4, pp.670-698, 2006. ,
DOI : 10.1137/050629367
Neocortical Axon Arbors Trade-off Material and Conduction Delay Conservation, PLoS Computational Biology, vol.3, issue.3, p.1000711, 2010. ,
DOI : 10.1371/journal.pcbi.1000711.s003
URL : http://doi.org/10.1371/journal.pcbi.1000711
Abolute stability and complete synchronization in a class of neural fields models, SIAM J. Appl. Math, vol.61, pp.205-250, 2008. ,
-Dimensional Neural Networks, Neural Computation, vol.13, issue.2, pp.147-187, 2009. ,
DOI : 10.1007/s004220000237
URL : https://hal.archives-ouvertes.fr/inria-00192952
Local/Global Analysis of the Stationary Solutions of Some Neural Field Equations, SIAM Journal on Applied Dynamical Systems, vol.9, issue.3, pp.954-998, 2010. ,
DOI : 10.1137/090773611
URL : https://hal.archives-ouvertes.fr/hal-00712201
Stability and Bifurcations in Neural Fields with Finite Propagation Speed and General Connectivity, SIAM Journal on Applied Mathematics, vol.65, issue.2, pp.644-666, 2005. ,
DOI : 10.1137/S0036139903430884
Local excitation-lateral inhibition interaction yields oscillatory instabilities in nonlocally interacting systems involving finite propagation delay, Physics Letters A, vol.372, issue.5, pp.541-546, 2008. ,
DOI : 10.1016/j.physleta.2007.08.018
URL : https://hal.archives-ouvertes.fr/inria-00332987
Effects of distributed transmission speeds on propagating activity in neural populations, Physical Review E, vol.73, issue.2, pp.1-5, 2006. ,
DOI : 10.1103/PhysRevE.73.021906
Modeling electrocortical activity through improved local approximations of integral neural field equations, Physical Review E, vol.76, issue.5, p.51901, 2007. ,
DOI : 10.1103/PhysRevE.76.051901
Nonlocal Ginzburg-Landau equation for cortical pattern formation, Physical Review E, vol.78, issue.4, pp.1-16, 2008. ,
DOI : 10.1103/PhysRevE.78.041916
Some theoretical and numerical results for delayed neural field equations, Physica D: Nonlinear Phenomena, vol.239, issue.9, pp.561-578, 2010. ,
DOI : 10.1016/j.physd.2010.01.010
URL : https://hal.archives-ouvertes.fr/hal-00847433
Large Scale Spatially Organized Activity in Neural Nets, SIAM Journal on Applied Mathematics, vol.38, issue.1, pp.1-21, 1980. ,
DOI : 10.1137/0138001
One-parameter semigroups for linear evolution equations, Semigroup Forum, vol.63, issue.2, 2001. ,
DOI : 10.1007/s002330010042
Introduction to Functional Differential Equations, 1993. ,
DOI : 10.1007/978-1-4612-4342-7
Theory and Applications of Partial Functional Differential Equations, 1996. ,
DOI : 10.1007/978-1-4612-4050-1
Delay Equations: Functional-, Complex-, and Nonlinear Analysis, 1995. ,
DOI : 10.1007/978-1-4612-4206-2
Functional Analysis, Classics in Mathematics, 1980. ,
Finite Propagation Speeds in Spatially Extended Systems, p.151, 2009. ,
DOI : 10.1007/978-3-642-02329-3_5
URL : https://hal.archives-ouvertes.fr/inria-00403132
Semigroups for Delay Equations, 2005. ,
Perturbation Theory for Linear Operators, 1995. ,
TRACE-DDE: a Tool for Robust Analysis and Characteristic Equations for Delay Differential Equations, Topics in Time Delay Systems, pp.145-155, 2009. ,
DOI : 10.1007/978-3-642-02897-7_13
Stability by Fixed Point Theory for Functional Differential Equations, 2006. ,
An Arnoldi like method for the delay eigenvalue problem, 2010. ,
Liapunov functional for a delayed integro-differential equation model of a neural field, Europhysics Letters (EPL), vol.77, issue.6, p.68007, 2007. ,
DOI : 10.1209/0295-5075/77/68007
Asymptotic stability independent of delays: simple necessary and sufficient conditions, Proceedings of 1994 American Control Conference, ACC '94, 1994. ,
DOI : 10.1109/ACC.1994.751903
On sufficient conditions for stability independent of delay, IEEE Transactions on Automatic Control, vol.40, issue.9, pp.1675-1680, 1995. ,
DOI : 10.1109/9.412644