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Piecewise-Smooth Dynamical Systems: Theory and Applications
Hardcover
Series: Applied Mathematical Sciences, Book 163
Technology & EngineeringGeneral Mathematics
ISBN13: 9781846280399
Publisher: Springer Nature
Published: Jan 15 2008
Pages: 482
Weight: 1.81
Height: 1.10 Width: 6.62 Depth: 9.24
Language: English
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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Piecewise-Smooth Dynamical Systems: Theory and Applications
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Budd, Chris
Champneys, Alan Richard
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