Monotone Random Systems Theory and Applications

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.

List of contents

General Facts about Random Dynamical System.- Generation of Random Dynamical Systems.- Order-Preserving Random Dynamical Systems.- Sublinear Random Dynamical Systems.- Cooperative Random Differential Equations.- Cooperative Stochastic Differential Equations.

Product details

• Authors: Igor Chueshov
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2007
• EAN: 9783540432463
• ISBN: 978-3-540-43246-3
• No. of pages: 234
• Weight: 354 g
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; B, Dynamics, Mathematics and Statistics, Probability Theory and Stochastic Processes, Dynamical Systems and Ergodic Theory, Ergodic theory, Nonlinear science, Dynamical systems, Probabilities, Stochastics, Probability Theory