PULLBACK ATTRACTORS OF NONAUTONOMOUS SEMIDYNAMICAL SYSTEMS
Author:
- 1 March 2003
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Stochastics and Dynamics
- Vol. 03 (01) , 101-112
Abstract
A nonautonomous semidynamical system is a skew-product semi-flow consisting of a cocycle mapping on a state space which is driven by a semidynamical system on a base space. It is shown that the driving system can be extended backwards in time on a compact invariant set, such as a global attractor, as a set-valued semidynamical system. Pullback attraction and invariance with respect to the cocycle mapping are then reformulated in terms of the set-valued backwards extension of the driving system.Keywords
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