Knots and Links in Three-Dimensional Flows 1

Vetenskap & teknik

Knots and Links in Three-Dimensional Flows

Robert W Ghrist • Philip J Holmes • Michael C Sullivan

Pocket

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214 sidor
1997

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.

Författare: Robert W Ghrist, Philip J Holmes, Michael C Sullivan
Format: Pocket/Paperback
ISBN: 9783540626282
Språk: Engelska
Antal sidor: 214
Utgivningsdatum: 1997-03-20
Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG