Knots and Links in Three-Dimensional Flows

von Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan

214 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540626282
• Sprache: Englisch
• Erscheinungsdatum: 20.03.1997
• Genre: Mathematik/Geometrie
• Verlag: Springer Berlin