| 书目名称 | Nonlinear Dynamics | | 副标题 | Between Linear and I | | 编辑 | Valery N. Pilipchuk | | 视频video | | | 概述 | First systematic description for the non smooth time transformations and related analytical and numerical algorithms.Bridges the gap between linear and strongly nonlinear dynamics by showing how to sw | | 丛书名称 | Lecture Notes in Applied and Computational Mechanics | | 图书封面 |  | | 描述 | Nonlinear Dynamics represents a wide interdisciplinary area of research dealing with a variety of “unusual” physical phenomena by means of nonlinear differential equations, discrete mappings, and related mathematical algorithms.However, with no real substitute for the linear superposition principle, the methods of Nonlinear Dynamics appeared to be very diverse, individual and technically complicated.This book makes an attempt to find a common ground for nonlinear dynamic analyses based on the existence of strongly nonlinear but quite simple counterparts to the linear models and tools.It is shown that, since the subgroup of rotations, harmonic oscillators, and the conventional complex analysis generate linear and weakly nonlinear approaches, then translations and reflections, impact oscillators, and hyperbolic (Clifford’s) algebras must give rise to some “quasi impact” methodology.Such strongly nonlinear methods are developed in several chapters of this book based on the idea ofnon-smooth time substitutions.Although most of the illustrations are based on mechanical oscillators, the area of applications may include also electric, electro-mechanical, electrochemical and other physical | | 出版日期 | Book 20101st edition | | 关键词 | NSTT; Non-Smooth Processes; Non-Smooth Temporal Transformations; Nonlinear Dynamics; Nonlinear Processes | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-12799-1 | | isbn_softcover | 978-3-642-26353-8 | | isbn_ebook | 978-3-642-12799-1Series ISSN 1613-7736 Series E-ISSN 1860-0816 | | issn_series | 1613-7736 | | copyright | Springer-Verlag Berlin Heidelberg 2010 |
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发表于 2025-3-21 17:53:45
