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knots and links in three-dimensional flows
Ghrist,Holmes,Sullivan (Author)
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knots and links in three-dimensional flows - ghrist,holmes,sullivan
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Origin: U.S.A.
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Synopsis "knots and links in three-dimensional flows"
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.
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The book is written in English.
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