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...

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Detalles Bibliográficos
Autores principales: Ghrist, Robert W, Holmes, Philip J, Sullivan, Michael C
Lenguaje:eng
Publicado: Springer 1997
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/BFb0093387
http://cds.cern.ch/record/1691640
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author Ghrist, Robert W
Holmes, Philip J
Sullivan, Michael C
author_facet Ghrist, Robert W
Holmes, Philip J
Sullivan, Michael C
author_sort Ghrist, Robert W
collection CERN
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.
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institution Organización Europea para la Investigación Nuclear
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publishDate 1997
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spelling cern-16916402021-04-21T21:08:17Zdoi:10.1007/BFb0093387http://cds.cern.ch/record/1691640engGhrist, Robert WHolmes, Philip JSullivan, Michael CKnots and links in three-dimensional flowsMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:16916401997
spellingShingle Mathematical Physics and Mathematics
Ghrist, Robert W
Holmes, Philip J
Sullivan, Michael C
Knots and links in three-dimensional flows
title Knots and links in three-dimensional flows
title_full Knots and links in three-dimensional flows
title_fullStr Knots and links in three-dimensional flows
title_full_unstemmed Knots and links in three-dimensional flows
title_short Knots and links in three-dimensional flows
title_sort knots and links in three-dimensional flows
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0093387
http://cds.cern.ch/record/1691640
work_keys_str_mv AT ghristrobertw knotsandlinksinthreedimensionalflows
AT holmesphilipj knotsandlinksinthreedimensionalflows
AT sullivanmichaelc knotsandlinksinthreedimensionalflows

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