| 书目名称 | Strongly Nonlinear Oscillators |
| 副标题 | Analytical Solutions |
| 编辑 | Livija Cveticanin |
| 视频video | |
| 概述 | Provides the unique analytical solving procedure for any strong nonlinear oscillator.Includes many examples for practical applications.Discusses chaos in ideal and nonlinear pure nonlinear oscillators |
| 丛书名称 | Undergraduate Lecture Notes in Physics |
| 图书封面 |  |
| 描述 | This book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. The book presents the original author’s method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameter is considered. Special attention is given to the one and two mass oscillatory systems with two-degrees-of-freedom. The criteria for the deterministic chaos in ideal and non-ideal pure nonlinear oscillators are derived analytically. The method for suppressing chaos is developed. Important problems are discussed in didactic exercises. The book is self-consistent and suitable as a textbook for students and also for professionals and engineers who apply these techniques to the field of nonlinear oscillations. |
| 出版日期 | Textbook 20141st edition |
| 关键词 | Chaos in Oscillators; Deterministic Chaos; Non-ideal Mechanical System; Oscillators with Time-Variable |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-05272-4 |
| isbn_ebook | 978-3-319-05272-4Series ISSN 2192-4791 Series E-ISSN 2192-4805 |
| issn_series | 2192-4791 |
| copyright | Springer International Publishing Switzerland 2014 |
发表于 2025-3-21 16:31:21
