Selection of publications
Neural fields
Localized radial bumps of a neural field equation on the Euclidean plane and the Poincaré disc, G. Faye, J. Rankin and D.J.B. Lloyd, Nonlinearity, 26:2 (2013)
Three applications of GPU computing in neuroscience, J. Baladron, D. Fasoli and O. Faugeras, Computing in Science and Engineering (2012)
Localized states in an unbounded neural field equation with smooth firing rate function: a multi-parameter analysis, G. Faye, J. Rankin and P. Chossat, Journal of Mathematical Biology (2012)
Reduction method for studying localized solutions of neural field equations on the Poincaré disk, G.Faye, Comptes Rendus Mathématique de l'Académie des Sciences (2012)
An analytical method for computing Hopf bifurcation curves in neural field networks with space-dependent delays, R. Veltz, Comptes Rendus de l'Academie des Sciences (2011)
Stability of the stationary solutions of neural field equations with propagation delays, R. Veltz and O. Faugeras, The Journal of Mathematical Neuroscience, 1:1 (2011)
Analysis of a hyperbolic geometric model for visual texture perception, G. Faye, P. Chossat and O. Faugeras, The Journal of Mathematical Neuroscience, 1:4 (2011)
Local/global analysis of the stationary solutions of some neural field equations , R. Veltz, O. Faugeras, accepted for publication in SIADS (2010)
Some theoretical and numerical results for delayed neural field equations , G. Faye, O. Faugeras, Physica D 239, pp. 561-578 (2010)
Persistent neural states: stationary localized activity patterns in nonlinear continuous n-population, q-dimensional neural networks, O. Faugeras, R. Veltz, F. Grimbert, Neural Computation, 21: 1, pp. 147-187 (2009)
Absolute Stability and Complete Synchronization in Neural Fields , O. Faugeras, F. Grimbert, J.-J. Slotine, SIAM Journal of Applied Mathematics, 69: 1, pp. 205-250 (2008)
