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oai:docta.ucm.es:20.500.14352/425342023-08-11T07:46:54Zcom_20.500.14352_14col_20.500.14352_15

Attractors with vanishing rotation number Ortega, Refael Romero Ruiz del Portal, Francisco 517.9 Planar attractor Prime end Fixed point index Global asymptotic stability Invariant ray Periodic differential equation Extinction Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias 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. MEC MEC Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas Instituto de Matemática Interdisciplinar (IMI) TRUE pub 2023-06-20T00:24:51Z 2023-06-20T00:24:51Z 2011 journal article https://hdl.handle.net/20.500.14352/42534 1435-9855 10.4171/JEMS/288 eng MTM 2008-02502 MTM2009-07030. open access application/pdf European Mathematical Society