Dynamics of the Stochastic Duung Oscillator in Gaussian Approximation

The previously developed general concept of the Gaussian approximation allows the description of the driven stochastic Duung oscillator by ordinary diierential equations. These equations are analysed analytically as well as numerically to investigate the modiication of simple bifurcations and of the Feigenbaum cascade by stochastic forces. Furthermore the method allows a qualitative discussion of the stochastic system in the deterministic irregular region. This article is an excerpt from a dissertation presented at TH Darmstadt, Darmstt adter Dissertation D17. y This work was performed within a program of the Sonderforschungsbereich 185 Darmstadt{ Frankfurt, FRG.