Grossberg network

Grossberg network is an artificial neural network introduced by Stephen Grossberg. It is a self organizing, competitive network based on continuous time. Grossberg, a neuroscientist and a biomedical engineer, designed this network based on the human visual system.

Shunting model
The shunting model is one of Grossberg's neural network models, based on a Leaky integrator, described by the differential equation
 * $${dn\over dt} \; = \; -An \; + (B - n)E \; - (C + n)I$$,

where $$n=n(t)$$ represents the activation level of a neuron, $$E=E(t)$$ and $$I=I(t)$$ represent the excitatory and inhibitory inputs to the neuron, and $$A$$, $$B$$, and $$C$$ are constants representing the leaky decay rate and the maximum and minimum activation levels.

At equilibrium (where $$dn/dt=0$$), the activation $$n$$ reaches the value
 * $$n \; = \; {BE-CI\over A+E+I}$$.