%0 Journal Article
%T Properties of an equation for neural fields in a bounded domain
%A Severino Horacio da Silva
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X In this work we study the global dynamics of an evolution equation for neural fields, where the flow generated by this equation in the phase space $L^2(S^1)$, is $C^1$. Furthermore we exhibit a continuous Lyapunov functional and use it for proving that this flow has the gradient property.
%K Well-posedness
%K smooth orbit
%K gradient flow
%U http://ejde.math.txstate.edu/Volumes/2012/42/abstr.html