Knots and Links in Three-Dimensional Flows

by Philip Holmes and Robert W. Ghrist

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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"

Related Subjects

Math Mathematics Science & Math

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Knots and Links in Three-Dimensional Flows

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