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Knots and Links in Three-Dimensional Flows
Robert W. Ghrist
Philip J. Holmes
Michael C. Sullivan
出版
Springer Berlin Heidelberg
, 1997-03-20
主題
Mathematics / Topology
Mathematics / Geometry / General
ISBN
354062628X
9783540626282
URL
http://books.google.com.hk/books?id=ltYZAQAAIAAJ&hl=&source=gbs_api
註釋
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.