Treffer: Structural stability of linear random dynamical systems

Title:
Structural stability of linear random dynamical systems
Authors:
Nguyen Dinh Cong
Source:
Ergodic Theory and Dynamical Systems. 16:1207-1220
Publisher Information:
Cambridge University Press (CUP), 1996.
Publication Year:
1996
Subject Terms:
Lyapunov norms, hyperbolic, Dynamical systems with hyperbolic behavior, topologically conjugate, structurally stable, Ergodic theory, 0101 mathematics, Stability theory for smooth dynamical systems, Topological dynamics, 01 natural sciences, discrete time linear random dynamical system
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1469-4417
0143-3857
DOI:
10.1017/s0143385700009998
Access URL:
http://journals.cambridge.org/action/displayFulltext?type=8&fid=7844738&volumeId=16&issueId=06&aid=7844737&bodyId=&membershipNumber=&societyETOCSession=
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0143385700009998
Rights:
Cambridge Core User Agreement
Accession Number:
edsair.doi.dedup.....dd744c90263ecd587c956fde9f4d4adc
Database:
OpenAIRE

Weitere Informationen

In this paper, structural stability of discrete-time linear random dynamical systems is studied. A random dynamical system is called structurally stable with respect to a random norm if it is topologically conjugate to any random dynamical system which is sufficiently close to it in this norm. We prove that a discrete-time linear random dynamical system is structurally stable with respect to its Lyapunov norms if and only if it is hyperbolic.