LOCAL ENTROPIES AS A MEASURE OF ORDERING IN DISCRETE MAPS

Local order measures are applied to a simple dynamical system: the log istic map. The results on pattern entropy are compared with those obta ined using other, well-known order measures such as Renyi entropy, Sha nnon entropy and Lyapunov exponent (an analytical expression). Two mod es of calculation are used: the global one and the local one (i.e. cal culated in a sliding time window). The properties of local measures ar e discussed. It is concluded that the local measures defined here may be a natural tool for analysing non-stationary signals. (C) 1998 Elsev ier Science Ltd. All rights reserved.