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

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1654Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 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 titleDDC classification:
  • 514.34 23
LOC classification:
  • QA613-613.8
  • QA613.6-613.66
Online resources:
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.
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK1774

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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