Knots and Links in Three-Dimensional Flows

• Κύριοι συγγραφείς: Ghrist, Robert W. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Holmes, Philip J. (http://id.loc.gov/vocabulary/relators/aut), Sullivan, Michael C. (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Έκδοση: 1st ed. 1997.
• Σειρά: Lecture Notes in Mathematics, 1654
• Θέματα: Manifolds (Mathematics).; Complex manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).
• Φυσική περιγραφή: X, 214 p. online resource.
• ISBN: 9783540683476
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0093387

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.