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AuthorGhrist, Robert W. author
TitleKnots and Links in Three-Dimensional Flows [electronic resource] / by Robert W. Ghrist, Philip J. Holmes, Michael C. Sullivan
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1997
Connect tohttp://dx.doi.org/10.1007/BFb0093387
Descript X, 214 p. online resource

SUMMARY

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


CONTENT

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


Mathematics Manifolds (Mathematics) Complex manifolds Mathematics Manifolds and Cell Complexes (incl. Diff.Topology)



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