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Record Nr. |
UNINA9910146285603321 |
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Autore |
Ghrist Robert W. <1969-> |
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Titolo |
Knots and links in three-dimensional flows / / Robert W. Ghrist, Philip J. Holmes, and Michael C. Sullivan |
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Pubbl/distr/stampa |
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Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1997] |
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©1997 |
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ISBN |
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Edizione |
[1st ed. 1997.] |
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Descrizione fisica |
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1 online resource (X, 214 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1654 |
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Classificazione |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Prerequisites -- Templates -- Template theory -- Bifurcations -- Invariants -- Concluding remarks. |
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Sommario/riassunto |
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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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