Knots and Links in Three-Dimensional Flows

Knots and Links in Three-Dimensional Flows
Author :
Publisher : Springer
Total Pages : 218
Release :
ISBN-10 : 9783540683476
ISBN-13 : 354068347X
Rating : 4/5 (76 Downloads)

Book Synopsis Knots and Links in Three-Dimensional Flows by : Robert W. Ghrist

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.


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