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Knots and Links in Three-Dimensional Flows

Knots and Links in Three-Dimensional Flows

Paperback

Series: Lecture Notes in Mathematics, Book 1654

General Mathematics

ISBN10: 354062628X
ISBN13: 9783540626282
Publisher: Springer Nature
Published: Mar 20 1997
Pages: 214
Weight: 0.72
Height: 0.48 Width: 6.14 Depth: 9.21
Language: English
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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General Mathematics