Piecewise-smooth dynamical systems
Subtitle: theory and applications
By: M. di Bernardo [et al.].
Contributors: Di Bernardo, M.
Series: Applied mathematical sciences -- 163.; Applied mathematical sciences (Springer-Verlag New York Inc.) -- v. 163.
Publisher: Springer Verlag; Springer
Published: 2008
Place of publication: London
Language: eng
Number of pages: 481
ISBN-13: 9781846280399
Subjects: Differentiable dynamical systems; Bifurcation theory
Description: "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 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 a resource for students and researchers."--Jacket.
Notes: Includes bibliographical references (p. [459]-473) and index.