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, Band 163, 482 Seiten, eBook

Reihe: Applied Mathematical Sciences

This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction expounds the ubiquity of such models via numerous. The results are presented in an informal style, and illustrated with many examples. 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.