Lyapunov's Second Method for Random Dynamical Systems
✍ Scribed by Ludwig Arnold; Björn Schmalfuss
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 223 KB
- Volume
- 177
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract In this paper, we prove the smooth conjugacy theorems of Sternberg type for random dynamical systems based on their Lyapunov exponents. We also present a stable and unstable manifold theorem with tempered estimates that are used to construct conjugacy. © 2005 Wiley Periodicals, Inc.
In this paper we consider a stochastic differential inclusion with multiplicative noise. It is shown that it generates a multivalued random dynamical system for which there also exists a global random attractor.
In this paper a continuous time version of a previous discrete systems optimisation algorithm is developed. The new algorithm uses prediction of costates within a three level structure to provide an efficient organisation of both the storage and the computation. The algorithm which applies to both l