Knots and Links in Three-Dimensional Flows [electronic resource] / by Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan.

By: Ghrist, Robert W [author.]Contributor(s): Holmes, Philip J [author.] | Sullivan, Michael C [author.] | SpringerLink (Online service)Material type: TextTextSeries: 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 online
Contents:
Prerequisites -- Templates -- Template theory -- Bifurcations -- Invariants -- Concluding remarks.
In: Springer eBooksSummary: 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.
Item type: E-BOOKS
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Current library Home library Call number Materials specified URL Status Date due Barcode
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.

There are no comments on this title.

to post a comment.
The Institute of Mathematical Sciences, Chennai, India

Powered by Koha