|
Organizers |
Classifying Lorenz-Smale Flows
by
Michael C. Sullivan
Northwestern University
Smale flows form a class of structurely stable flows. We define a Lorenz-Smale to be a Smale flow on the 3-sphere with three basic (invariant) sets: an attracting closed orbit A, a repelling closed orbit R, and a 'Lorenz-type' saddle set L. This forces A and R to form either a Hopf link or a trefoil with meridian link. Further at most one of the two beaches of L may be knotted, and then its knot types are limited to be torus knots.
Date received: January 11, 1996
Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caab-75.