2014/08/11 by Szała, Leszek
#37-XX #Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1408.2569
We study nonautonomous discrete dynamical systems with randomly perturbed trajectories. We suppose that such a system is generated by a sequence of continuous maps which converges uniformly to a map f. We give conditions, under which a recurrent point of a (standard) autonomous discrete dynamical system generated by the limit function f is also recurrent for the nonautonomous system with randomly perturbed trajectories. We also provide a necessary condition for a nonautonomous discrete dynamical system to be nonchaotic in the sense of Li and Yorke with respect to small random perturbations.