Omega-limit sets for spiral maps
B. Kitchens and M. Misiurewicz
Abstract
We investigate a class of homeomorphisms of a cylinder, with all
trajectories convergent to the cylinder base and one fixed point in
the base. Let A be a nonempty finite or countable family of
sets, each of which can be a priori an omega-limit set. Then there
is a homeomorphism from our class, for which A is the family of
all omega-limit sets.