Abstract
Given an integer $m> 1$ we consider $\mathbb{Z}_m$-equivariant and orientation preserving homeomorphisms in $\mathbb{R}^2$ with an asymptotically stable fixed point at the origin. We present examples without periodic points and having some complicated dynamical features. The key is a preliminary construction of $\mathbb{Z}_m$-equivariant Denjoy maps of the circle.
Citation
Begoña Alarcón. "Rotation numbers for planar attractors of equivariant homeomorphisms." Topol. Methods Nonlinear Anal. 42 (2) 327 - 343, 2013.
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