Bernardo / Budd / Champneys Piecewise-smooth Dynamical Systems

Theory and Applications
1. Auflage 2008
ISBN: 978-1-84628-708-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 482 Seiten, Web PDF

Reihe: Mathematics and Statistics

This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction motivates the ubiquity of such models via examples from mechanics, electronics, control theory and physiology. The key concept is that of discontinuity-induced bifurcation, which generalizes diverse phenomena such as grazing, border-collision, sliding, chattering and the period-adding route to chaos. The results are presented in an informal style, illustrated via many examples, both theoretical and experimental. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level. Almost no mathematical background is assumed other than basic calculus and algebra.

Zielgruppe

Research

Autoren/Hrsg.

Bernardo, Mario

Budd, Chris

Champneys, Alan Richard

Kowalczyk, Piotr

Inhaltsverzeichnis

Qualitative theory of non-smooth dynamical systems.- Border-collision in piecewise-linear continuous maps.- Bifurcations in general piecewise-smooth maps.- Boundary equilibrium bifurcations in flows.- Limit cycle bifurcations in impacting systems.- Limit cycle bifurcations in piecewise-smooth flows.- Sliding bifurcations in Filippov systems.- Further applications and extensions.