TY - JOUR AU - Ortega, Refael AU - Romero Ruiz del Portal, Francisco PY - 2011 DO - 10.4171/JEMS/288 SN - 1435-9855 UR - https://hdl.handle.net/20.500.14352/42534 T2 - Journal of the European Mathematical Society 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... LA - eng M2 - 1569 PB - European Mathematical Society KW - Planar attractor KW - Prime end KW - Fixed point index KW - Global asymptotic stability KW - Invariant ray KW - Periodic differential equation KW - Extinction TI - Attractors with vanishing rotation number TY - journal article VL - 13 ER -