Topic summary
Random dynamical systems
Extracted from the Wikipedia article Random dynamical system.
Attractors for random dynamical systems
The notion of an attractor for a random dynamical system is not as straightforward to define as in the deterministic case. It is necessary to "rewind time", as in the definition of a pullback attractor, so that the noise close to the final time remains consistent. Moreover, the attractor is dependent upon the realisation of the noise.
