Knots and Links in Three-Dimensional Flows

by Philip Holmes and Robert W. Ghrist

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...

• Format: Paperback
• Language: English
• ISBN: 354062628X
• ISBN13: 9783540626282
• Release Date: March 1997
• Publisher: Springer
• Length: 214 Pages
• Weight: 0.72 lbs.
• Dimensions: 0.5" x 6.1" x 9.2"