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.< ...
DETAILS
Knots and Links in Three-Dimensional Flows
Ghrist, Robert W., Holmes, Philip J., Sullivan, Michael C.
Kartoniert, x, 214 S.
X, 214 p.
Sprache: Englisch
235 mm
Springer, Berlin (1997)
Gewicht: 358 g
ISBN-13: 978-3-540-62628-2
Titelnr.: 09205208