RT Journal Article
T1 Attractors with vanishing rotation number
A1 Ortega, Refael
A1 Romero Ruiz del Portal, Francisco
AB Given an orientation-preserving homeomorphism of the plane, a rotation number can be associated with each locally attracting fixed point. Assuming that the homeomorphism is dissipative and the rotation number vanishes we prove the existence of a second fixed point. The main tools in the proof are Caratheodory prime ends and fixed point index. The result is applicable to some concrete problems in the theory of periodic differential equations.
PB European Mathematical Society
SN 1435-9855
YR 2011
FD 2011
LK https://hdl.handle.net/20.500.14352/42534
UL https://hdl.handle.net/20.500.14352/42534
LA eng
NO MEC
NO MEC
DS Docta Complutense
RD 25 dic 2025