Rotation numbers for planar attractors of equivariant homeomorphisms

Begoña Alarcón

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.

Keywords


Planar embedding; symmetry; asymptotic stability; global attractors

Full Text:

FULL TEXT

Refbacks

  • There are currently no refbacks.

Partnerzy platformy czasopism