Stable heteroclinic cycles and symbolic dynamics.
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.
Alseda
Lluis
L
Departament de Matematiques, Universitat Autonoma de Barcelona, 08193-Bellaterra, Barcelona, SpainI.N.L.N. URM CNRS 129, Universite de Nice-Sophia Antipolis, 1361, Route des Lucioles, Sophia Antipolis, 06560 Valbonne, FranceDepartament de Matematica Aplicada i Analisi, Universitat de Barcelona, Gran Via 585, 08071-Barcelona, Spain.
Gambaudo
Jean Marc
JM
Mumbru
Pere
P