Overview
- Contributes to understanding and predicting global attractors for a special class of nonautonomous dynamical systems
- Author is a leading expert in dynamical systems
- Successfully applied to the resolution of different problems in the theory of linear and non-linear nonautonomous differential equations for more than 50 years
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (6 chapters)
Keywords
About this book
This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations. The content is developed over six chapters, providing a thorough introduction to the techniques used in the Chapters III-VI described by Chapter I-II.
The author gives a systematic treatment of the basic mathematical theory and constructive methods for Nonautonomous Dynamics. They show how these diverse topics are connected to other important parts of mathematics, including Topology, Functional Analysis and Qualitative Theory of Differential/Difference Equations. Throughout the book a nice balance is maintained between rigorous mathematics and applications (ordinary differential/difference equations, functional differential equations and partial difference equations).
The primary readership includes graduate and PhD students and researchers inin the field of dynamical systems and their applications (control theory, economic dynamics, mathematical theory of climate, population dynamics, oscillation theory etc).Reviews
Authors and Affiliations
Bibliographic Information
Book Title: Nonautonomous Dynamics
Book Subtitle: Nonlinear Oscillations and Global Attractors
Authors: David N. Cheban
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-030-34292-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-34291-3Published: 23 January 2020
Softcover ISBN: 978-3-030-34294-4Published: 23 January 2021
eBook ISBN: 978-3-030-34292-0Published: 22 January 2020
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XXII, 434
Number of Illustrations: 1 b/w illustrations
Topics: Dynamical Systems and Ergodic Theory, Ordinary Differential Equations, Partial Differential Equations, Systems Theory, Control, Complex Systems, Mathematical Applications in the Physical Sciences