ENGLISH

Knots and Links in Three-Dimensional Flows

By Robert W. Ghrist , Philip J. Holmes , Michael C. Sullivan (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1997
ISBN
354062628X, 9783540626282
DOI
10.1007/BFb0093387
LCC
QA3 .L28 no. 1654,QA614.82 .L28 no. 1654
Open Library ID
OL661793M
Language
english
Format
DJVU
Filesize
2 MB (1745597 bytes)
Series
Lecture Notes in Mathematics 1654
Edition
1
Pages
214\217
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11
Manifolds and Cell Complexes (incl. Diff.Topology)

Description

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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