Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Attractors for stochastic differential equations with nontrivial noise. (English)
Authors: Keller H., Schmalfuss B.
Abstract
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
E-mail:
Universitat Bremen
Postfach 330440, 28334 Bremen, Germany
E-mail:
Contents
- Konstantin Sergeevich Sibirsky (1928 - 1990). A tribute in honor of his 70th birthday.
- Hilbert's series for comitants graded algebras of differential equations. (English)
- Smooth linearization near a three-dimensional saddle. (English)
- Recurrent functions and recurrent solutions of differential equations. (Russian)
- Lyapunov functions for cocycle attractors in nonautonomous difference equations. (English)
- Attractors for stochastic differential equations with nontrivial noise. (English)
- On the law of transformation of affine connection and its integration. Part 1. Generalization of the Lame equations. (English)
- Types of the critical points for quadratic system with a center of symmetry. (English)
- The differential operators and multiplicity of singular points for polynomial differential system. (English)
- Poisson stability of mappings with respect to a semigroup. (English)
- On partial recurrent solutions of completely integrable systems. (English)
- Coefficient conditions for the repartition of multiplicity between 2 real double infinite singular points of cubic differential system. (English)
- $L_p$-theory of generalized solutions of model boundary value problems for parabolic equations. (English)
- Local phase portraits of two-dimensional analytical systems principal parts of which do not contain parameters. (English)
