Monotone Random Systems Theory and Applications

Description:

The aim of this book is to present a recently developed approach suitable for investigating a variety of qualitative aspects of order-preserving random dynamical systems and to give the background for further development of the theory. The main objects considered are equilibria and attractors. The effectiveness of this approach is demonstrated by analysing the long-time behaviour of some classes of random and stochastic ordinary differential equations which arise in many applications.

subjects: Random dynamical systems,  Monotonic functions,  Systemes dynamiques aleatoires,  Dynamische systemen,  Fonctions monotones,  Differentiable dynamical systems,  Mathematics,  Distribution (Probability theory)