RT Journal Article
T1 Attractors with irrational rotation number
A1 Hernández Corbato, Luis
A1 Ortega, Rafael
A1 Romero Ruiz del Portal, Francisco
AB Let h : R-2 -> R-2 be a dissipative and orientation preserving homeomorphism having an asymptotically stable fixed point. Let U be the region of attraction and assume that it is proper and unbounded. Using Caratheodory's prime ends theory one can associate a rotation number, rho, to h(vertical bar U). We prove that any map in the above conditions and with rho is not an element of Q induces a Denjoy homeomorphism in the circle of prime ends. We also present some explicit examples of maps in this class and we show that, if the infinity point is accessible by an arc in U, rho is not an element of Q if and only if Per(h) = Fix(h) = {p}.
PB Cambridge Univ Press
SN 0305-0041
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/42533
UL https://hdl.handle.net/20.500.14352/42533
LA eng
NO FPU Spanish Ministry of Education
NO MEC
NO MEC
DS Docta Complutense
RD 9 abr 2025