Knots and links in three-dimensional flows
Author(s)
Bibliographic Information
Knots and links in three-dimensional flows
(Lecture notes in mathematics, 1654)
Springer, c1997
Available at / 92 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1654RM970404
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
514.224/G3462070401687
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Note
Includes bibliography (p. [192]-204) and index
Description and Table of Contents
Description
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.
Table of Contents
Prerequisites.- Templates.- Template theory.- Bifurcations.- Invariants.- Concluding remarks.
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