Authors:
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
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)
Authors and Affiliations
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Facultad de Matematicas, Universidad de Sevilla, Sevilla, Spain
Tomás Caraballo
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Department of Mathematics and Statistics, Auburn University, Auburn, USA
Xiaoying Han
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.
Bibliographic Information
Book Title: Applied Nonautonomous and Random Dynamical Systems
Book Subtitle: Applied Dynamical Systems
Authors: Tomás Caraballo, Xiaoying Han
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-49247-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2016
Softcover ISBN: 978-3-319-49246-9Published: 06 January 2017
eBook ISBN: 978-3-319-49247-6Published: 31 January 2017
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: X, 108
Number of Illustrations: 3 b/w illustrations, 4 illustrations in colour
Topics: Ordinary Differential Equations, Probability Theory and Stochastic Processes, Genetics and Population Dynamics, Applications of Mathematics