We will discuss the operation of small networks of neurons which act as control systems in many animals. The individual neurons in this network are chaotic, and we will describe in detail the tools we use to determine this. The numer of degrees of freedom acting in the operation of these neurons is three to five, and again we will describe how we determine this kind of information about dynamical systems.

Using these quantities we will describe how we built numerical and analog circuit electronic models of these neurons and how we were able to replace damaged neurons in the biological circuit with electronic neurons.

Time permitting we will discuss the dynamical structure in state space of the neurons as electrical oscillators--again using tools of nonlinear analysis.

After the talk and during further discussions these nonlinear analysis tools will be illustrated using software we have developed.

Curriculum Vitae