<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Chaos and stability in some random dynamical systems

Department of Applied Mathematics and Statistics Faculty of Mathematics, Physics and Informatics Comenius University Mlynsk´a dolina SK–842-48 Bratislava SLOVAKIA

Tatra Mountains Mathematical Publications

{"article-title":"Chaos and stability in some random dynamical systems"}

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...

Chaos and stability in some random dynamical systems

Published Online: Nov 13, 2012

Page range: 75 - 82

DOI: https://doi.org/10.2478/v10127-012-0008-x

Keywords
nonautonomous dynamical system, random dynamical system, Li Yorke chaos.

This content is open access.

Chaos and stability in some random dynamical systems

Published Online: Nov 13, 2012

Page range: 75 - 82

DOI: https://doi.org/10.2478/v10127-012-0008-x

Keywordsnonautonomous dynamical system, random dynamical system, Li Yorke chaos.

This content is open access.

Keywords
nonautonomous dynamical system, random dynamical system, Li Yorke chaos.