%0 Journal Article
%T FOLDED SADDLE-NODES AND THEIR NORMAL FORM REDUCTION IN A NEURONAL RATE MODEL
%A Rodica Curtu
%J Mathematics and its Applications : Annals of the Academy of Romanian Scientists
%D 2011
%I Academy of Romanian Scientists Publishing House
%X The paper investigates the existence of folded singularities in a dynamical system of two fast and two slow equations. The normal formof the system near its fold curve is constructed. Then it is used todetermine the analytical conditions satisfied by a folded singularity.In particular, we find that there is a parameter region where foldedsaddle-nodes of type II exist. In the neighborhood of those points the system possesses a stable folded node and an unstable true equilibrium, and the local dynamics is complex.
%K inhibitory neural networks
%K folded singularities
%K canards
%U http://www.mathematics-and-its-applications.com/preview/july2011/data/4_Curtu_R.pdf