Knots and Links in Three-Dimensional Flows [electronic resource] / by Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan.

By:

Ghrist, Robert W [author.]

Contributor(s):

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 1654Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997Description: X, 214 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540683476

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

514.34 23

LOC classification:

QA613-613.8
QA613.6-613.66

Online resources:

Click here to access online

Contents:

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

In: Springer eBooksSummary: 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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Prerequisites -- Templates -- Template theory -- Bifurcations -- Invariants -- Concluding remarks.

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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