language: en

Stability and Chaos in an Inertial Two Neuron System

Diek W. Wheeler 1 and W. C. Schieve
Ilya Prigogine Center for Studies in Statistical Mechanics and Complex Systems and Physics Department, The University of Texas,
Austin, TX 78712

Abstract. Inertia is added to a continuous-time, Hopfield [1] effective-neuron system. We explore the effects on the stability of the fixed points of the system. A two neuron system with one or two inertial terms added is shown to exhibit chaos. The chaos is confirmed by Lyapunov exponents, power spectra, and phase space plots.

INTRODUCTION