Rotation numbers for planar attractors of equivariant homeomorphisms
Keywords
Planar embedding, symmetry, asymptotic stability, global attractorsAbstract
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.Downloads
Published
2013-04-22
How to Cite
1.
ALARCÓN, Begoña. Rotation numbers for planar attractors of equivariant homeomorphisms. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 42, no. 2, pp. 327 - 343. [Accessed 24 April 2024].
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