Monotone Random Systems Theory and Applications [electronic resource] / by Igor Chueshov.

By: Chueshov, Igor [author.]Contributor(s): SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1779Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2002Description: VIII, 240 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540458159Subject(s): Mathematics | Differentiable dynamical systems | Distribution (Probability theory) | Mathematics | Probability Theory and Stochastic Processes | Dynamical Systems and Ergodic TheoryAdditional physical formats: Printed edition:: No titleDDC classification: 519.2 LOC classification: QA273.A1-274.9QA274-274.9Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
Item type: E-BOOKS
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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.

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.

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