SpringerBriefs in Mathematics

Applied Nonautonomous and Random Dynamical Systems

Applied Dynamical Systems

Authors: Caraballo, Tomás, Han, Xiaoying

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  • Intended for mathematicians, as well as to researchers from the applied sciences
  • A self-contained book that includes related materials
  • Presents in detail how the theory of pullback attractors and random attractors is employed in biological applications
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eBook $54.99
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  • ISBN 978-3-319-49247-6
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Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-49246-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

About the authors

Tomás Caraballo graduated with a degree in Mathematical Sciences in 1984, and received his Ph.D.  in the same subject at the Universidad de Sevilla (Spain) in 1988. He is currently a Catedrático de Universidad (Full Professor) at the Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla. He has participated in or been Principal Investigator for more than 20 research projects. He has authored or co-authored more than 180 papers, has supervised 10 doctoral theses, and has been associate or guest editor of numerous scientific journals. His current research interests are non-autonomous and random dynamical systems, both in finite and infinite dimensions, stochastic ordinary and partial differential equations with memory, delay, impulses and their applications to real models from the applied sciences.

Xiaoying Han received her Ph.D. in mathematics from the State University of New York at Buffalo in 2007. She is an associate professor of mathematics at Auburn University’s Department of Mathematics and Statistics, Alabama, USA. Her main research focuses are nonautonomous and random dynamical systems and their applications, and she is also interested in modeling, analysis and simulation of stochastic systems arising in applied sciences and engineering.

Reviews

“This brief monograph gives an introduction to the theory of non-autonomous, random and  stochastic dynamical systems. The book is accessible for a wide audience and gives some citations to more recent research. ... The main emphasis is on the study of the long-term behavior of solutions and pullback attractors. A discussion of future research directions supplements the topics presented.” (Henri Schurz, Mathematical Reviews, June, 2017)


Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-49247-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-49246-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Applied Nonautonomous and Random Dynamical Systems
Book Subtitle
Applied Dynamical Systems
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-49247-6
DOI
10.1007/978-3-319-49247-6
Softcover ISBN
978-3-319-49246-9
Series ISSN
2191-8198
Edition Number
1
Number of Pages
X, 108
Number of Illustrations
3 b/w illustrations, 4 illustrations in colour
Topics