Buch, Englisch, Band 163, 482 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 762 g
Theory and Applications
Buch, Englisch, Band 163, 482 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 762 g
Reihe: Applied Mathematical Sciences
ISBN: 978-1-84996-548-4
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
- Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik
Weitere Infos & Material
Qualitative theory of non-smooth dynamical systems.- Border-collision in piecewise-linear continuous maps.- Bifurcations in general piecewise-smooth maps.- Boundary equilibrium bifurcations in flows.- Limit cycle bifurcations in impacting systems.- Limit cycle bifurcations in piecewise-smooth flows.- Sliding bifurcations in Filippov systems.- Further applications and extensions.
