TY  - BOOK
AU  - Ghrist,Robert W.
AU  - Holmes,Philip J.
AU  - Sullivan,Michael C.
ED  - SpringerLink (Online service)
TI  - Knots and Links in Three-Dimensional Flows
T2  - Lecture Notes in Mathematics,
SN  - 9783540683476
AV  - QA613-613.8 
U1  - 514.34 23
PY  - 1997///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Cell aggregation
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
N1  - Prerequisites -- Templates -- Template theory -- Bifurcations -- Invariants -- Concluding remarks
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0093387
ER  -