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

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

 
9781849965484: Piecewise-smooth Dynamical Systems: Theory and Applications: 163 (Applied Mathematical Sciences)
Tapa blanda
ISBN 10: 184996548X ISBN 13: 9781849965484
Editorial: Springer, 2010

Sinopsis

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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De la contraportada

Traditional analysis of dynamical systems has restricted its attention to smooth problems, but it has become increasingly clear that there are distinctive phenomena unique to discontinuous systems that can be analyzed mathematically but which fall outside the usual methodology for smooth dynamical systems.

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 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. The inclusion of a comprehensive bibliography and many open questions will also serve as a stimulus for future research.

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Editorial
Springer
Año de publicación
2010
Idioma
Inglés
ISBN 10 
184996548X
ISBN 13 
9781849965484
Encuadernación
Tapa blanda
Número de páginas
508
Contacto del fabricante
no disponible
Persona responsable
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Hamburg
Alemania

Otras ediciones populares con el mismo título

9781846280399: Piecewise-smooth Dynamical Systems: Theory and Applications: 163 (Applied Mathematical Sciences)

Edición Destacada

ISBN 10:  1846280397 ISBN 13:  9781846280399
Editorial: Springer, 2008
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