Overview
- Excellent for learning the use of basic results on qualitative theory of differential systems
- Illustrates how to use the Poincaré map for studying the periodic orbits of a differential system
- Shows the importance of compactification of the domain of definition of a differential system for the understanding of the global dynamics of the system
- Points out the importance of bifurcation diagrams for describing the different dynamics of differential systems depending on parameters
- Includes supplementary material: sn.pub/extras
Part of the book series: Birkhäuser Advanced Texts Basler Lehrbücher (BAT)
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Table of contents (5 chapters)
Keywords
About this book
Reviews
From the book reviews:
“This book is devoted to the study of piecewise linear differential systems (PWLSs), from the point of view of the qualitative theory of differential equations. … this book could serve well both as a textbook for a course in piecewise linear differential equations and as a reference in which important tools of current research are thoroughly explained and their use is illustrated.” (Claudio Pessoa, Mathematical Reviews, November, 2014)
“The monograph presents a detailed study of an important family of continuous piecewise linear differential systems. … The book is of great interest for researches working on planar piecewise linear differential systems. It can also serve as a reference book for those interested in the global phase portraits and the bifurcation sets of fundamental systems. The book is also highly suitable for students and engineers wishing to learn the theory of planar piecewise linear systems … .” (Valery Romanovski, zbMATH, Vol. 1286 (2), 2014)Authors and Affiliations
About the authors
Bibliographic Information
Book Title: Introduction to the Qualitative Theory of Differential Systems
Book Subtitle: Planar, Symmetric and Continuous Piecewise Linear Systems
Authors: Jaume Llibre, Antonio E. Teruel
Series Title: Birkhäuser Advanced Texts Basler Lehrbücher
DOI: https://doi.org/10.1007/978-3-0348-0657-2
Publisher: Springer Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Basel 2014
Hardcover ISBN: 978-3-0348-0656-5Published: 13 November 2013
eBook ISBN: 978-3-0348-0657-2Published: 30 October 2013
Series ISSN: 1019-6242
Series E-ISSN: 2296-4894
Edition Number: 1
Number of Pages: XIII, 289
Number of Illustrations: 83 b/w illustrations, 1 illustrations in colour
Topics: Ordinary Differential Equations, Systems Theory, Control, Partial Differential Equations