Knots and Links in Three-Dimensional Flows / Edition 1 available in Paperback
- Pub. Date:
- Springer Berlin Heidelberg
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.
Table of Contents
Prerequisites.- Templates.- Template theory.- Bifurcations.- Invariants.- Concluding remarks.