On the Formation of Persistent States in Neuronal Network Models of Feature Selectivity
Journal of Integrative Neuroscience
Neuronal dynamics, Feature selectivity, Persistent states, Working memory
We study the existence and stability of localized activity states in neuronal network models of feature selectivity with either a ring or spherical topology. We find that the neural field has mono-stable, bi-stable, and tri-stable regimes depending on the parameters of the weighting function. In the case of homogeneous inputs, these localized activity states are marginally stable with respect to rotations. The response of a stable equilibrium to an inhomogeneous input is also determined
Haskell, Evan and Bressloff, Paul C., "On the Formation of Persistent States in Neuronal Network Models of Feature Selectivity" (2003). Mathematics Faculty Articles. 88.