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.
| Author: Robert W. Ghrist |
| Publisher: Springer |
| Publication Date: Mar 20, 1997 |
| Number of Pages: 214 pages |
| Binding: Paperback or Softback |
| ISBN-10: 354062628X |
| ISBN-13: 9783540626282 |
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