2 papers
math.AP2017
Well posedness and stationary solutions of a neural field equation with synaptic plasticity
Juan Cordero Ceballos, Alejandro Jimenez Rodriguez
We consider the initial value problem associated to the neural field equation of Amari type with plasticity \[ u_t(x,t)=-u(x,t)+\int_Ωw(x,y)[1+γg( u(x,t) - u(y,t) )] f(u(y,t))\; dy…
q-bio.NC2017
Heterogeneous gain distributions in neural networks I:The stationary case
Alejandro Jimenez Rodriguez, Juan Carlos Cordero Ceballos, Nestor E. Sanchez
We study heterogeneous distribution of gains in neural fields using techniques of quantum mechanics by exploiting a relationship of our model and the time-independent Schrödinger e…