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Piecewise-Smooth Dynamical Systems: Theory and Applications

Piecewise-Smooth Dynamical Systems: Theory and Applications

Paperback

Series: Applied Mathematical Sciences, Book 163

Technology & EngineeringGeneral Mathematics

ISBN10: 184996548X
ISBN13: 9781849965484
Publisher: Springer Nature
Published: Oct 19 2010
Pages: 482
Weight: 1.55
Height: 1.02 Width: 6.14 Depth: 9.21
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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