Piecewise-Smooth Dynamical Systems Theory and Applications |
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| Author:
| Kowalczyk, P.
Bernardo, M. Di
Budd, C.
Champneys, A. |
| Series title: | Applied Mathematical Sciences Ser. |
| ISBN: | 978-1-84628-039-9 |
| Publication Date: | Jan 2008 |
| Publisher: | Springer London, Limited
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| Imprint: | Springer |
| Book Format: | Hardback |
| List Price: | USD $179.99 |
Book Description:
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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,...
More DescriptionThis 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.