Knots and Links in Three-Dimensional Flows
Author | : Robert W. Ghrist |
Publisher | : Springer |
Total Pages | : 218 |
Release | : 2006-11-14 |
ISBN-10 | : 9783540683476 |
ISBN-13 | : 354068347X |
Rating | : 4/5 (76 Downloads) |
Download or read book Knots and Links in Three-Dimensional Flows written by Robert W. Ghrist and published by Springer. This book was released on 2006-11-14 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.