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We study non-autonomous discrete dynamical systems generated by a sequence of continuous functions, which converges uniformly, with randomly perturbed trajectories . We give conditions, under which a recurrent point of a discrete dynamical system is also recurrent for a non-autonomous discrete dynamical system with randomly perturbed trajectories. We also present a necessary condition for a non-autonomous discrete dynamical system to be non-chaotic with respect to small random perturbations. |
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