Piecewise-smooth Dynamical Systems

Theory and Applications

von Mario Bernardo, Chris Budd, Alan Richard Champneys, Piotr Kowalczyk

482 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: Applied Mathematical Sciences
• ISBN: 9781846280399
• Sprache: Englisch
• Erscheinungsdatum: 15.01.2008
• Genre: Mathematik/Analysis
• Verlag: Springer London