| 书目名称 | Piecewise-smooth Dynamical Systems |
| 副标题 | Theory and Applicati |
| 编辑 | Mario di Bernardo Laurea,Alan R. Champneys,Piotr K |
| 视频video | |
| 概述 | A comprehensive ‘tool-kit‘ that provides a complete reference to bifurcation theory for piecewise-smooth dynamical systems.The informal introduction serves as a primer for the non-specialist and intro |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | .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 al |
| 出版日期 | Book 2008 |
| 关键词 | Bifurcation; Dynamical Systems; Piecewise-Smooth; Standard; calculus; differential equation; electronics |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-84628-708-4 |
| isbn_softcover | 978-1-84996-548-4 |
| isbn_ebook | 978-1-84628-708-4Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | Springer-Verlag London 2008 |
发表于 2025-3-21 18:04:57
