| 书目名称 | Chaotic Motions in Nonlinear Dynamical Systems |
| 编辑 | W. Szemplińska-Stupnicka,G. Iooss,F. C. Moon |
| 视频video | |
| 丛书名称 | CISM International Centre for Mechanical Sciences |
| 图书封面 |  |
| 描述 | Discoveries of chaotic, unpredictable behaviour in physical deterministic systems has brought about new analytic and experimental techniques in dynamics. The modern study of the new phenomena requires the analyst to become familiar with experiments (at least with numerical ones), since chaotic solutions cannot be written down, and it requires the experimenter to master the new concepts of the theory of nonlinear dynamical systems. This book is unique in that it presents both viewpoints: the viewpoint of the analyst and of the experimenter. In the first part F. Moon outlines the new experimental techniques which have emerged from the study of chaotic vibrations. These include Poincaré sections, fractial dimensions and Lapunov exponents. In the text by W. Szemplinska-Stupnicka the relation between the new chaotic phenomena and classical perturbation techniques is explored for the first time. In the third part G. Iooss presents methods of analysis for the calculations of bifurcations in nonlinear systems based on modern geometric mathematical concepts. |
| 出版日期 | Book 1988 |
| 关键词 | bifurcation; dynamical system; dynamical systems; dynamics; nonlinear dynamics; nonlinear system; solution |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-7091-2596-0 |
| isbn_softcover | 978-3-211-82062-9 |
| isbn_ebook | 978-3-7091-2596-0Series ISSN 0254-1971 Series E-ISSN 2309-3706 |
| issn_series | 0254-1971 |
| copyright | Springer-Verlag Wien 1988 |
发表于 2025-3-21 19:53:52
