Title: Knots and links in three-dimensional flows
First published: 1997
Description: 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.
Subjects: Link theory, Flows (Differentiable dynamical systems), Knot theory, Differentiable dynamical systems, Mathematics, Cell aggregation
LC classification: QA3 .L28 no. 1654, QA614.82 .L28 no. 1654