• Two-variable example Try looking at the phase plane and drawing the nullclines. Find limit cycles, multiple fixed points and other pheneomena by changing the weights and the thresholds and the time constants.
• Three-variable model showing chaos Try this, integrate the equations and freeze it in color 1. Then change initial conditions of u1 from 0.8 to 0.801 and re-integrate. Afetr about 200 time units the solutions are uncorrelated. This is chaos! Look at a 3d plot of all 3 neurons, u1,u2,u3.
• Two coupled neural net oscillators Fire this up to get two coupled oscillators: (u1,u2) and (u1p,u2p). The coupling coefficients are bee,bie,bei,bii. In u1,u1p are the excitatory cells and u2,u2p are the inhibitory cells. Thus if all the b's are zero, then they are uncoupled. When you run this, only the last 20 time units are plotted. Add the other excitatory variable to compare them (u1p). Then play around with the coupling -- all b's should be nonnegative.