Chaos and stability in some random dynamical systems

Katarína Janková

doi:10.2478/v10127-012-0008-x

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Chaos and stability in some random dynamical systems

Tatra Mountains Mathematical Publications

Volume 51 (2012): Issue 1 (April 2012)

By: Katarína Janková

Open Access

|Nov 2012

Abstract

Nonchaotic behavior in the sense of Li and Yorke chaos in discrete dynamical systems generated by a continuous selfmapping of a real compact inter- val means that every trajectory can be approximated by a periodic one. Stability of this behavior was analyzed also for dynamical systems with small random perturbations. In this paper we study similar properties for nonautonomous periodic dynamical systems with random perturbations and for random dynamical systems generated by two continuous maps and their perturbations.

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