Overview
- Presents classical theory and some of the newest techniques
- Discusses a number of future challenges
- Authored by two highly recognized experts
Part of the book series: Advanced Courses in Mathematics - CRM Barcelona (ACMBIRK)
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Table of contents (2 chapters)
Keywords
About this book
This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. Starting from well known theoretical results, the authors bring the reader into the latest challenges in the field, going through stability analysis, bifurcation, singularities, decomposition theorems and an introduction to kneading theory. Both courses contain many examples which illustrate the theoretical concepts that are introduced.
Authors, Editors and Affiliations
About the editors
Dr Mike Jeffrey is a Senior Lecturer at the University of Bristol in the United Kingdom.
Paul Glendinning is a Professor of Applied Mathematics at the University of Manchester in the United Kingdom.
Bibliographic Information
Book Title: An Introduction to Piecewise Smooth Dynamics
Authors: Paul Glendinning, Mike R. Jeffrey
Editors: Elena Bossolini, J. Tomàs Lázaro, Josep M. Olm
Series Title: Advanced Courses in Mathematics - CRM Barcelona
DOI: https://doi.org/10.1007/978-3-030-23689-2
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-23688-5Published: 01 November 2019
eBook ISBN: 978-3-030-23689-2Published: 21 October 2019
Series ISSN: 2297-0304
Series E-ISSN: 2297-0312
Edition Number: 1
Number of Pages: VII, 129
Number of Illustrations: 50 b/w illustrations, 8 illustrations in colour
Topics: Ordinary Differential Equations, Dynamical Systems and Ergodic Theory