IMCS/Publications/BASM/Issues/BASM n.1 (26), 1998/

Attractors for stochastic differential equations with nontrivial noise. (English)

Authors: Keller H., Schmalfuss B.


The terms nonautonomous and random dynamical systems and attractors for such systems are introduced. By a transformation to another system we show the existence of attractors for random dynamical systems generated by particular stochastic differential equations. This method will be used to show the existence of attractors for the stochastic Duffing van der Pol oscillator for a large class of noise terms.

Institut fur Dynamische Systeme
Universitat Bremen
Postfach 330440, 28334 Bremen, Germany