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  • © 2002

Monotone Random Systems Theory and Applications

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1779)

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Table of contents (9 chapters)

  1. Front Matter

    Pages N2-VIII
  2. Introduction

    • Igor ÄŒhueÅ¡hov
    Pages 1-7
  3. 1. General Facts about Random Dynamical Systems

    • Igor ÄŒhueÅ¡hov
    Pages 9-53
  4. 2. Generation of Random Dynamical Systems

    • Igor ÄŒhueÅ¡hov
    Pages 55-81
  5. 3. Order-Preserving Random Dynamical Systems

    • Igor ÄŒhueÅ¡hov
    Pages 83-111
  6. 4. Sublinear Random Dynamical Systems

    • Igor ÄŒhueÅ¡hov
    Pages 113-141
  7. 5. Cooperative Random Differential Equations

    • Igor ÄŒhueÅ¡hov
    Pages 143-183
  8. 6. Cooperative Stochastic Differential Equations

    • Igor ÄŒhueÅ¡hov
    Pages 185-225
  9. References

    • Igor ÄŒhueÅ¡hov
    Pages 227-231
  10. Index

    • Igor ÄŒhueÅ¡hov
    Pages 233-234
  11. Back Matter

    Pages 235-237

About this book

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.

Keywords

  • Dynamical system
  • attractors
  • equilibria
  • order-preserving
  • random dynamical system
  • random dynamics

Bibliographic Information

  • Book Title: Monotone Random Systems Theory and Applications

  • Authors: Igor Chueshov

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/b83277

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2002

  • Softcover ISBN: 978-3-540-43246-3Published: 10 April 2002

  • eBook ISBN: 978-3-540-45815-9Published: 11 October 2004

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 240

  • Topics: Probability Theory, Dynamical Systems

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions