An Introduction to Piecewise Smooth Dynamics

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. 

List of contents

Piecewise Smooth Flows.- Piecewise Smooth Maps.

About the author

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.

Summary

Presents classical theory and some of the newest techniques
Discusses a number of future challenges

Authored by two highly recognized experts

Product details

• Authors: Pau Glendinning, Paul Glendinning, Mike R Jeffrey, Mike R. Jeffrey
• Assisted by: Elena Bossolini (Editor), J. Tomàs Lázaro (Editor), Josep M Olm (Editor), Josep M. Olm (Editor), Tomàs Lázaro (Editor), J Tomàs Lázaro (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2019
• EAN: 9783030236885
• ISBN: 978-3-0-3023688-5
• No. of pages: 129
• Dimensions: 171 mm x 9 mm x 240 mm
• Weight: 259 g
• Illustrations: VII, 129 p. 58 illus., 8 illus. in color.
• Series: Advanced Courses in Mathematics - CRM Barcelona; Advanced Courses in Mathematics - CRM Barcelona
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Analysis, B, Kybernetik und Systemtheorie, Dynamics, Mathematics and Statistics, Ordinary Differential Equations, Dynamical Systems and Ergodic Theory, Ergodic theory, Nonlinear science, Differential equations, Dynamical systems