Knots and Links in Three-Dimensional Flows
Knots and Links in Three-Dimensional Flows
复制标题
三维流中的结和链接
DOI：
10.1007/bfb0093387
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
Michael C. Sullivan
中科院分区：
文献类型：
--
作者：
R. Ghrist;P. Holmes;Michael C. Sullivan
三维流动的封闭轨道形成结和链。这本书发展工具-模板理论和符号动力学-需要研究打结轨道。该理论适用于理解局部和全局分岔的问题，以及莫尔斯小流、小流和可积哈密顿流中轨道的嵌入数据。简述了必要的背景理论；然而，假设对低维拓扑和微分方程有一定的了解。
The closed orbits of three-dimensional flows form knots and links. This book develops the tools-template theory and symbolic dynamics-needed for studying knotted orbits. This theory is applied to the problems of understanding local and global bifurcations, as well as the embedding data of orbits in Morse-smale, Smale, and integrable Hamiltonian flows. The necesssary background theory is sketched; however, some familiarity with low-dimensional topology and differential equations is assumed.