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Recurrence in Systems with Randomly Perturbed Trajectories on the n-Dimensional Cube

Leszek Szała

Institute of Mathematics, Silesian University, 746 01 Opava, Czech Republic

https://doi.org/10.1142/S0218127414501375Cited by:1 (Source: Crossref)

Abstract

We generalize some properties of (f, δ)-recurrence introduced in [Szała, 2013] to n-dimensional case and show that (f, δ)-recurrence and uniform (f, δ)-recurrence are equivalent. We also study properties of one-dimensional nonautonomous dynamical systems with randomly perturbed trajectories.

Keywords:

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