Attractors with irrational rotation number
نویسندگان
چکیده
منابع مشابه
Attractors with vanishing rotation number
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 Carathéodory prime ends and fixed point index. The result is applicable to some concrete problems i...
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2011
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004111000788