Highly Influenced

# Stable heteroclinic cycles and symbolic dynamics.

@article{Alsed1994StableHC, title={Stable heteroclinic cycles and symbolic dynamics.}, author={Llu{\'i}s Alsed{\`a} and Jean Marc Gambaudo and P. Mumbr{\'u}}, journal={Chaos}, year={1994}, volume={4 2}, pages={407-419} }

- Published 1994 in Chaos

Let S(1) (0), S(1) (1),.,S(1) (n-1) be n circles. A rotation in n circles is a map f: union or logical sum (i=0) (n-1)S(1) (i)--> union or logical sum (i=0) (n-1)S(1) (i) which maps each circle onto another by a rotation. This particular type of interval exchange map arises naturally in bifurcation theory. In this paper we give a full description of the symbolic dynamics associated to such maps.