Numerical approximation of random attractors. (English) Zbl 0940.60075
Crauel, Hans (ed.) et al., Stochastic dynamics. Conference on Random dynamical systems, Bremen, Germany, April 28 - May 2, 1997. Dedicated to Ludwig Arnold on the occasion of his 60th birthday. New York, NY: Springer. 93-115 (1999).
An algorithm for the numerical approximation of Dellnitz and Hohmann is presented. It is applied to the stochastic Duffing-van der Pol osscillator. The authors also prove a theoretical result on the existence of stable/unstable manifolds and attractors.
For the entire collection see [Zbl 0916.00011].
For the entire collection see [Zbl 0916.00011].
Reviewer: D.R.Bell (Jacksonville)
MSC:
| 60H10 | Stochastic ordinary differential equations (aspects of stochastic analysis) |
| 37H10 | Generation, random and stochastic difference and differential equations |
| 37M20 | Computational methods for bifurcation problems in dynamical systems |
| 37G35 | Dynamical aspects of attractors and their bifurcations |
