Piecewise-Smooth Dynamical Systems : Theory and Applications
Overview
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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Details
- ISBN-13: 9781846280399
- ISBN-10: 1846280397
- Publisher: Springer
- Publish Date: January 2008
- Dimensions: 9.24 x 6.62 x 1.1 inches
- Shipping Weight: 1.81 pounds
- Page Count: 482
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