| 书目名称 | Sequential Bifurcation Trees to Chaos in Nonlinear Time-Delay Systems | | 编辑 | Siyuan Xing,Albert C.J. Luo | | 视频video | | | 丛书名称 | Synthesis Lectures on Mechanical Engineering | | 图书封面 |  | | 描述 | .In this book, the global sequential scenario of bifurcation trees of periodic motions to chaos in nonlinear dynamical systems is presented for a better understanding of global behaviors and motion transitions for one periodic motion to another one. A 1-dimensional (1-D), time-delayed, nonlinear dynamical system is considered as an example to show how to determine the global sequential scenarios of the bifurcation trees of periodic motions to chaos. All stable and unstable periodic motions on the bifurcation trees can be determined. Especially, the unstable periodic motions on the bifurcation trees cannot be achieved from the traditional analytical methods, and such unstable periodic motions and chaos can be obtained through a specific control strategy...The sequential periodic motions in such a 1-D time-delayed system are achieved semi-analytically, and the corresponding stability and bifurcations are determined by eigenvalue analysis. Each bifurcation tree of a specific periodic motion to chaos are presented in detail. The bifurcation tree appearance and vanishing are determined by the saddle-node bifurcation, and the cascaded period-doubled periodic solutions are determined by t | | 出版日期 | Book 2020 | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-79669-2 | | isbn_softcover | 978-3-031-79668-5 | | isbn_ebook | 978-3-031-79669-2Series ISSN 2573-3168 Series E-ISSN 2573-3176 | | issn_series | 2573-3168 | | copyright | Springer Nature Switzerland AG 2020 |
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发表于 2025-3-21 16:20:07
