Knots and Links in Three-Dimensional Flows

ISBN-13: 9783540626282 / Angielski / Miękka / 1997 / 214 str.

Robert W. Ghrist;Philip J. Holmes;Michael C. Sullivan

Opis

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.

Spis treści

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