Abstract
Kerékjártó proved in 1934 that a planar homeomorphism with an asymptotically stable fixed point is conjugated, on its basin of attraction, to one of the maps $z\mapsto z/2$ or $z\mapsto \overline z/2$, depending on whether $f$ preserves or reverses the orientation. We extend this result to planar homeomorphisms with a compact attractor.
Citation
Armengol Gasull. Jorge Groisman. Francesc Mañosas. "Linearization of planar homeomorphisms with a compact attractor." Topol. Methods Nonlinear Anal. 48 (2) 493 - 506, 2016. https://doi.org/10.12775/TMNA.2016.055
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