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

Ortega, Refael Romero Ruiz del Portal, Francisco 2023-06-20T00:24:51Z 2023-06-20T00:24:51Z 2011 1435-9855 10.4171/JEMS/288 https://hdl.handle.net/20.500.14352/42534 http://www.ems-ph.org/journals/show_pdf.php?issn=1435-9855&vol=13&iss=6&rank=2 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. eng open access Attractors with vanishing rotation number journal article