Discrete Symmetric Planar Dynamics
We review previous results providing sufficient conditions to determine the global dynamics for equivariant maps of the plane with a unique fixed point which is also hyperbolic.
math.DS↗
arXiv subjects
B. Alarcón
Publications and source records attributed to B. Alarcón.
Rotation numbers for planar attractors of equivariant homeomorphisms
Given an integer m>1 we consider Zm-equivariant and orientation preserving homeomorphisms in the plane 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 Zm-equivariant Denjoy maps of the circle.
math.DS↗