Nonchaotic behavior in the sense of Li and Yorke chaos in discretedynamical systems generated by a continuous selfmapping of a real compact inter-val means that every trajectory can be approximated by a periodic one. Stabilityof this behavior was analyzed also for dynamical systems with small random per-turbations. In this paper we study similar properties for nonautonomous periodicdynamical systems with random perturbations and for random dynamical systemsgenerated by two continuous maps and their perturbations.
@article{152,
title = {Chaos and stability in some random dynamical systems},
journal = {Tatra Mountains Mathematical Publications},
volume = {51},
year = {2012},
doi = {10.2478/tatra.v51i1.152},
language = {EN},
url = {http://dml.mathdoc.fr/item/152}
}
Janková, Katarina. Chaos and stability in some random dynamical systems. Tatra Mountains Mathematical Publications, Tome 51 (2012) . doi : 10.2478/tatra.v51i1.152. http://gdmltest.u-ga.fr/item/152/