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Mario di Bernardo, Chris Budd, Alan Richard Champneys, Piotr Kowalczyk, "Piecewise-smooth Dynamical Systems: Theory and Applications"

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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	Science/Engineering Dynamical Systems I: Ordinary Differential Equations and Smooth Dynamical Systems D.V. Anosov , S.K. Aranson , V.I. Arnol'd , "Dynamical Systems I: Ordinary Differential Equations and Smooth Dynamical Systems" Springer; 1st ed 1988. 2nd printing edition (June 28, 1994) \| ISBN:3540170006 \| 233 pages \| Djvu \| 1,6 Mb ...
	Science/Engineering Dynamical Systems VIII: Singularity Theory II. Applications V.I Arnold (ed) “Dynamical Systems VIII: Singularity Theory II. Applications " Springer \| 1993-03-25 \| ISBN: 3540533761 \| Djvu \| 235 pages \| 1,8 Mb This volume of the EMS is devoted to applications of singularity theory in mathematics ...
	Science/Engineering Random Dynamical Systems: Theory and Applications Rabi Bhattacharya, Mukul Majumdar "Random Dynamical Systems: Theory and Applications" Cambridge University Press \| 2007-01-08 \| ISBN: 0521825652 \| 480 pages \| PDF \| 1,8 MB This treatment provides an exposition of discrete time dynamic p ...
	Science/Engineering Bifurcations and Chaos in Piecewise-Smooth Dynamical Systems: Applications to Power Converters, Relay and Pulse-Width Modulated Control Systems, and Human ... Series on Nonlinear Science, Series a) Bifurcations and Chaos in Piecewise-Smooth Dynamical Systems: Applications to Power Converters, Relay and Pulse-Width Modulated Control Systems... Publisher: World Scientific Publishing Company \| ISBN: 9812384200 \| edition 2003 \| PDF \| 377 ...
	Science/Engineering Smooth Dynamical Systems (Pure and Applied Mathematics) Michael Charles Irwin, "Smooth Dynamical Systems (Pure and Applied Mathematics)"Publisher: Academic Press \| 1980 \| 271 Pages \| ISBN: 0123744504 \| PDF \| 11 MBA reprint of this work, first published in 1980. The material covered continues to ...
	Mathematics Dynamical Systems II: Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics Ya.G. Sinai (Ed.) ¡°Dynamical Systems II: Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics" Springer \| 1996-12-13 \| ISBN: 3540170014 \| Djvu \| 281 pages \| 2 Mb Following the concept of the EMS series this ...

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