THE TRANSITION FROM DETERMINISTIC CHAOS TO A STOCHASTIC-PROCESS

Deterministic dynamical systems of Langevin type recently introduced b y Beck and Roepsdorf (Physica A 145 (1987) 1) generate Langevin dynami cs in a suitable limit. We discuss the transition from chaos to random ness in these systems under the point of view of the attractor dimensi on and dynamical entropy and show that the limit of a stochastic proce ss is reached via a shift of the deterministic properties towards the infinitesimal length scales. (C) 1998 Elsevier Science B.V. All rights reserved.