Knots and Links in Three-Dimensional Flows [electronic resource] / by Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan.
Material type: TextSeries: Lecture Notes in Mathematics ; 1654Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1997Description: X, 214 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540683476Subject(s): Mathematics | Cell aggregation -- Mathematics | Mathematics | Manifolds and Cell Complexes (incl. Diff.Topology)Additional physical formats: Printed edition:: No titleDDC classification: 514.34 LOC classification: QA613-613.8QA613.6-613.66Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK1774 |
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.
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