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Knots and Links in Three-Dimensional Flows [electronic resource] /
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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| Main Authors: | , , , |
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| Format: | Texto biblioteca |
| Language: | eng |
| Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1997
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| Subjects: | Mathematics., Manifolds (Mathematics)., Complex manifolds., Manifolds and Cell Complexes (incl. Diff.Topology)., |
| Online Access: | http://dx.doi.org/10.1007/BFb0093387 |
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KOHA-OAI-TEST:2073322018-07-30T23:37:37ZKnots and Links in Three-Dimensional Flows [electronic resource] / Ghrist, Robert W. author. Holmes, Philip J. author. Sullivan, Michael C. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,1997.engThe 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.Prerequisites -- Templates -- Template theory -- Bifurcations -- Invariants -- Concluding remarks.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.Mathematics.Manifolds (Mathematics).Complex manifolds.Mathematics.Manifolds and Cell Complexes (incl. Diff.Topology).Springer eBookshttp://dx.doi.org/10.1007/BFb0093387URN:ISBN:9783540683476 |
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COLPOS |
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Koha |
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México |
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MX |
| component |
Bibliográfico |
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En linea En linea |
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cat-colpos |
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biblioteca |
| region |
America del Norte |
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Departamento de documentación y biblioteca de COLPOS |
| language |
eng |
| topic |
Mathematics. Manifolds (Mathematics). Complex manifolds. Mathematics. Manifolds and Cell Complexes (incl. Diff.Topology). Mathematics. Manifolds (Mathematics). Complex manifolds. Mathematics. Manifolds and Cell Complexes (incl. Diff.Topology). |
| spellingShingle |
Mathematics. Manifolds (Mathematics). Complex manifolds. Mathematics. Manifolds and Cell Complexes (incl. Diff.Topology). Mathematics. Manifolds (Mathematics). Complex manifolds. Mathematics. Manifolds and Cell Complexes (incl. Diff.Topology). Ghrist, Robert W. author. Holmes, Philip J. author. Sullivan, Michael C. author. SpringerLink (Online service) Knots and Links in Three-Dimensional Flows [electronic resource] / |
| 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. |
| format |
Texto |
| topic_facet |
Mathematics. Manifolds (Mathematics). Complex manifolds. Mathematics. Manifolds and Cell Complexes (incl. Diff.Topology). |
| author |
Ghrist, Robert W. author. Holmes, Philip J. author. Sullivan, Michael C. author. SpringerLink (Online service) |
| author_facet |
Ghrist, Robert W. author. Holmes, Philip J. author. Sullivan, Michael C. author. SpringerLink (Online service) |
| author_sort |
Ghrist, Robert W. author. |
| title |
Knots and Links in Three-Dimensional Flows [electronic resource] / |
| title_short |
Knots and Links in Three-Dimensional Flows [electronic resource] / |
| title_full |
Knots and Links in Three-Dimensional Flows [electronic resource] / |
| title_fullStr |
Knots and Links in Three-Dimensional Flows [electronic resource] / |
| title_full_unstemmed |
Knots and Links in Three-Dimensional Flows [electronic resource] / |
| title_sort |
knots and links in three-dimensional flows [electronic resource] / |
| publisher |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, |
| publishDate |
1997 |
| url |
http://dx.doi.org/10.1007/BFb0093387 |
| work_keys_str_mv |
AT ghristrobertwauthor knotsandlinksinthreedimensionalflowselectronicresource AT holmesphilipjauthor knotsandlinksinthreedimensionalflowselectronicresource AT sullivanmichaelcauthor knotsandlinksinthreedimensionalflowselectronicresource AT springerlinkonlineservice knotsandlinksinthreedimensionalflowselectronicresource |
| _version_ |
1756268370975522816 |