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Details for article 3 of 5 found articles
| Title: |
Order-preserving random dynamical systems: equilibria, attractors, applications |
| Author: |
Arnold, Ludwig Chueshov, Igor |
| Appeared in: |
Dynamical systems |
| Paging: | Volume 13 (1998) nr. 3 pages 265-280 |
| Year: |
1998 |
| Contents: |
This paper is meant as a first step towards a systematic study of order-preserving (or monotone) random dynamical systems, in particular of their long-term behavior and their attractors. A series of examples (including random I stochastic cooperative systems and random I stochastic parabolic equations) gives ample proof of the usefulness of the subject. We show that, given a sub- and super-equilibrium, there is always an equilibrium between them. Also, the random attractor of an order-preserving random dynamical system is bounded below and above by equilibria. We finally show by way of an example that omega-limit sets can contain non-trivial totally ordered subsets. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 3 of 5 found articles
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