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Applied Nonautonomous and Random Dynamical Systems

Applied Dynamical Systems

  • Tomás Caraballo
  • Xiaoying Han

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-x
  2. Tomás Caraballo, Xiaoying Han
    Pages 1-9
  3. Tomás Caraballo, Xiaoying Han
    Pages 11-33
  4. Tomás Caraballo, Xiaoying Han
    Pages 35-66
  5. Tomás Caraballo, Xiaoying Han
    Pages 67-104
  6. Back Matter
    Pages 105-108

About this book

Introduction

This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently establishes a framework for non-autonomous dynamical systems, and in particular describes the various approaches currently available for analysing the long-term behaviour of non-autonomous problems.  Here, the major focus is on the novel theory of pullback attractors, which is still under development. In turn, the third part represents the main body of the book, introducing the theory of random dynamical systems and random attractors and revealing how it may be a suitable candidate for handling realistic models with stochasticity. A discussion of future research directions serves to round out the coverage.

Keywords

nonautonomous dynamical systems random dynamical systems pullback attractors random attractors stability

Authors and affiliations

  • Tomás Caraballo
    • 1
  • Xiaoying Han
    • 2
  1. 1.Facultad de MatematicasUniversidad de SevillaSevillaSpain
  2. 2.Department of Mathematics and StatisticsAuburn UniversityAuburnUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-49247-6
  • Copyright Information The Author(s) 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-49246-9
  • Online ISBN 978-3-319-49247-6
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site
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