Piecewise-smooth dynamical systems:theory and applications

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Bibliographic Details
Corporate Authors: SpringerLink (Online service)
Group Author: Di Bernardo M.; (Mario)
Published: Springer,
Publisher Address: London
Publication Dates: c2008.
Literature type: Book
Language: English
Series: Applied mathematical sciences ; 163
Subjects:
Online Access: http://dx.doi.org/10.1007/978-1-84628-708-4
Carrier Form: xxi, 481 p.: ill. ; 25 cm.
ISBN: 9781846287084 (electronic bk.)
1846287081 (electronic bk.)
Index Number: O193
CLC: O193
O177.91
Contents: Includes bibliographical references (p. [459]-473) and index.
"The primary purpose of this book is to present a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction asserts the ubiquity of such models with examples drawn from mechanics, electronics, control theory and physiology. The main thrust is to classify complex behavior via bifurcation theory in a systematic yet applicable way. The key concept is that of a 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 and illustrated with examples, both theoretical and experimental." "Aimed at a wide audience of applied mathematicians, engineers and scientists at the early postgraduate level, the book assumes only the standard background of basic calculus and linear algebra for most of the presentation and will be a resource for students and researchers."--BOOK JACKET.