Knots and links in three-dimensional flows
著者
書誌事項
Knots and links in three-dimensional flows
（Lecture notes in mathematics, 1654）
Springer, c1997
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注記
Includes bibliography (p. [192]-204) and index
内容説明・目次
内容説明
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.
目次
Prerequisites.- Templates.- Template theory.- Bifurcations.- Invariants.- Concluding remarks.
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