Lecture Notes in Mathematics

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

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

Published by: Springer

Publication Date: 1997-03-20

Format: Paperback

ISBN-13: 9783540626282

DOI: 10.1007/BFb0093387

Dimensions: 235cm x155cm

Pages: 214