From Morse-Smale to all knots and links

Details From Morse-Smale to all knots and links From Morse-Smale to all knots and links

1997-08-22

arxiv.org/abs/math/9708208v1

Mathematics

Dynamical Systems

Scientific paper

10.1088/0951-7715/11/4/021

We analyse the topological (knot-theoretic) features of a certain codimension-one bifurcation of a partially hyperbolic fixed point in a flow on $\real^3$ originally described by Shil'nikov. By modifying how the invariant manifolds wrap around themselves, or ``pleat,'' we may apply the theory of templates, or branched two-manifolds, to capture the topology of the flow. This analysis yields a class of flows which bifurcate from a Morse-Smale flow to a Smale flow containing periodic orbits of all knot and link types.

Affiliated with

Also associated with

No associations

Rating

From Morse-Smale to all knots and links does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with From Morse-Smale to all knots and links, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From Morse-Smale to all knots and links will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-136635