Knots and Links in Three-Dimensional Flows / Edition 1

Knots and Links in Three-Dimensional Flows / Edition 1

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Springer Berlin Heidelberg

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Knots and Links in Three-Dimensional Flows / Edition 1

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.

Product Details

ISBN-13: 9783540626282
Publisher: Springer Berlin Heidelberg
Publication date: 04/18/1997
Series: Lecture Notes in Mathematics Series , #1654
Edition description: 1997
Pages: 214
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Prerequisites.- Templates.- Template theory.- Bifurcations.- Invariants.- Concluding remarks.

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