Piecewise-smooth Dynamical Systems: Theory and Applications: 163 (Applied Mathematical Sciences, 163)

Bernardo, Mario Mario Bernardo, Chris Budd, Alan Richard Champneys, Piotr Kowalczyk,

ISBN 10: 1846280397 / ISBN 13: 9781846280399

Edité par Springer -, 2008

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Synopsis :

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.

Présentation de l'éditeur: The primary purpose of this book is to introduce 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 copious 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 an indispensable resource for students and researchers.

Détails bibliographiques

Titre : Piecewise-smooth Dynamical Systems: Theory ...
Éditeur : Springer -
Date d'édition : 2008
Reliure : hardcover
Etat : Very Good