On the influence of noise on the largest Lyapunov exponent of attractors of stochastic dynamic systems (Q1809577)

This paper deals with an answer to the conjecture proposed by \textit{J. Argyris, I. Andreadis, Cs. Pavlos} and \textit{M. Athanasiou} [ibid. 9, 343-361 (1998; Zbl 0933.37045)]. The authors present a mathematical analysis of the influence of noise to the largest Lyapunov exponent for a stochastic dynamical system. Then extend the results of Argyris, et al. to the case of an additive output noise, either in a discrete or a continuous in time formulation. The authors are going to consider the influence of the multiplicative noise in a forthcoming publication.