Knots and Links in Three-Dimensional Flows
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Beschreibung
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.
Autor*in
Robert W. Ghrist
Themen in »Knots and Links in Three-Dimensional Flows«
Etch Invariant Templates bifurcation boundary element method differential equation equation form sketch template tool topology