Now showing items 1-2 of 2
On the Gap between Random Dynamical Systems and Continuous Skew Products
(Georgia Institute of Technology, 2002)
We review the recent notion of a nonautonomous dynamical system (NDS), which has been introduced as an abstraction of both random dynamical systems and continuous skew product flows. Our focus is on fundamental analogies ...
Pullback Attracting Inertial Manifolds for Nonautonomous Dynamical Systems
(Georgia Institute of Technology, 2001)
In this paper we present an abstract approach to inertial manifolds for nonautonomous dynamical systems. Our result on the existence of inertial manifolds requires only two geometrical assumptions, called cone invariance ...