Dynamical System of Neural Communication
by
Bo Deng
Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, NE 68588-0323

A dynamical system approach to neural communication will be introduced. Both theory and circuit implementation will be discussed. We will demonstrate that the dynamical system induced by the spike code renormalization operator has the following properties: It has the 1st natural number as the universal constant. All finite dimensional dynamical systems are topologically conjugate to subsystems of the operator for which all conjugacies preserve the Lyapunov Exponents. And the operator on the embedding subspace is chaotic-having the property of sensitive dependence on initial conditions and dense orbits.

Date received: January 30, 2003