Overview
- The conditions for joint dependence on state and time are given for a real analytic time-varying vector field to have a flow depending on initial condition in a real analytic manner
- Presents a united framework for performing analysis on vector bundles in a variety of regularity classes
- An explicit description is given for the topology of the space of real analytic sections of a vector bundle
- Offers a unified treatment of time-varying vector fields for all common regularity classes
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (6 chapters)
Keywords
About this book
Reviews
“It presents a unified framework for the study of time-varying vector fields with measurable time dependence and different degree of regularity in the state variable. The monograph is well designed for those wanting to be introduced to the rudiments of the theory.” (Wojciech Kryszewski, Mathematical Reviews, December, 2015)
“The monograph is devoted to time-varying vector fields with measurable time dependence and with varying degrees of regularity in state … . The authors treat all regularity classes, includintg the real analytic one, which has been not studied in detail up till now. … the book is well written. That is why I recommend it to specialists in mathematics, physics and also to specialists in control theory.” (Miroslaw Doupovec, zbMATH 1321.58001, 2015)
Authors and Affiliations
About the authors
Saber Jafarpour is a PhD candidate in Queen's University's Department of Mathematics and Statistics, Canada.
Andrew D. Lewis is a Professor of Mathematics at Queen's University. His research interests include control of mechanical systems, geometric mechanics, and nonlinear control.
Bibliographic Information
Book Title: Time-Varying Vector Fields and Their Flows
Authors: Saber Jafarpour, Andrew D. Lewis
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-10139-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Authors 2014
Softcover ISBN: 978-3-319-10138-5Published: 27 October 2014
eBook ISBN: 978-3-319-10139-2Published: 10 October 2014
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: VIII, 119
Number of Illustrations: 9 b/w illustrations
Topics: Systems Theory, Control, Dynamical Systems and Ergodic Theory, Topological Groups, Lie Groups