2 papers
q-bio.NC2023
Mathematical derivation of wave propagation properties in hierarchical neural networks with predictive coding feedback dynamics
Grégory Faye, Guilhem Fouilhé, Rufin VanRullen
Sensory perception (e.g. vision) relies on a hierarchy of cortical areas, in which neural activity propagates in both directions, to convey information not only about sensory input…
math.AP2022
Asymptotic behavior of nonlocal bistable reaction-diffusion equations
Christophe Besse, Alexandre Capel, Grégory Faye +1
In this paper, we study the asymptotic behavior of the solutions of nonlocal bistable reaction-diffusion equations starting from compactly supported initial conditions. Depending o…