Knots and Links in Three-Dimensional Flows / Edition 1

Knots and Links in Three-Dimensional Flows / Edition 1

by Robert W. Ghrist, Michael C. Sullivan, Philip J. Holmes
     
 

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

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Overview

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:
9.21(w) x 6.14(h) x 0.48(d)

Related Subjects

Table of Contents

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

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