Abstract
A linear dynamical model of the form x^(t+1)=M_nx^(t), where M_n is an n by n matrix with diagonal elments alpha and off diagonal elements beta, is studied. We find that each solution may be a constant, 2-perioidc, convergent, asymptotic 2-periodic, divergent, or oscillatory sequence. Applications of our study include an economic model and the generalized Maxnet network for locating maximal values.