Rotation Sets for orbits of Degree One Circle Maps

Let F be the lifting of a circle map of degree one. In [?] a notion of F-rotation interval of a point x S1 was given. In this paper we define and study a new notion of a rotation set of a point which preserves more of the dynamical information contained in the sequences {Fn (y)} n=0 than the preserved by the one from [?]. In particular, we characterize dynamically the endpoints of these sets and we obtain an analogous version of the Main Theorem of [?] in our settings.

• Type: Journal
• Year: 2002
• Where: IJBC
• Authors: Lluís Alsedà, Francesc Mañosas, Moira Chas
• Keywords: Circle Map, Dynamical Information, F-rotation Interval, IJBC 2002