Knots and Links in Three-Dimensional Flows

1. Auflage 1997
ISBN: 978-3-540-62628-2
Verlag: Springer

Buch, Englisch, 214 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 353 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Ghrist, Robert W.

Holmes, Philip J.

Sullivan, Michael C.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
• Mathematik | Informatik Mathematik Operations Research Graphentheorie

Inhaltsverzeichnis

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