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Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces

100%

Płonka P.

nr 1

129-142

In this paper we want to show the existence of a form of asymptotic stability of random dynamical systems in the sense of L. Arnold using arguments analogous to those presented by T. Szarek in [6], that is showing it using conditions generalizing the notion of tightness of measures. In order to do that we use tightness theory for random measures as developed by H. Crauel in [2].

Random models of coupled inductors

100%

Walczak J. , Mazurkiewicz S.

tom Vol. 11

321--327

This paper describes the method of determining the first two moments of the state equation solution. The presented method is applied to the analysis of the coupled coils system. Parameters of coupled coils are random variables. There are supplied by the ideal voltage sources. It is assumed that the forces are stochastic processes. The results are illustrated by the example.