p-adic discrete dynamical systems and collective behaviour of information states in cognitive models

We develop a model of functioning of complex information systems (in partic ular, cognitive systems) in that information states are coded by p-adic int egers. An information state evolves by iterations of a discrete p-adic dyna mical system. The p-adic utrametric on the space of information states (p-a dic homogeneous tree) describes the ability of an information system to ope rate with associations. The main attention is paid to the collective dynami cs of families of associations.