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: | Ghrist, Robert W. author., Holmes, Philip J. author., Sullivan, Michael C. author., SpringerLink (Online service) |
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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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