Piecewise-smooth Dynamical Systems

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171,19 

Theory and Applications, Applied Mathematical Sciences 163

ISBN: 184996548X
ISBN 13: 9781849965484
Verlag: Springer Verlag GmbH
Umfang: xxii, 482 S.
Erscheinungsdatum: 19.10.2010
Weitere Autoren: Bernardo, Mario/Budd, Chris/Champneys, Alan Richard et al
Auflage: 1/2008
Produktform: Kartoniert
Einband: Kartoniert
Artikelnummer: 951040 Kategorie:

Beschreibung

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.

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E-Mail: juergen.hartmann@springer.com

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