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Knots and Links in Three-Dimensional Flows

Paperback Engels 1997 1997e druk 9783540626282
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Samenvatting

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.

Specificaties

ISBN13:9783540626282
Taal:Engels
Bindwijze:paperback
Aantal pagina's:214
Uitgever:Springer Berlin Heidelberg
Druk:1997

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Inhoudsopgave

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

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        Knots and Links in Three-Dimensional Flows