6 citations · 6 across the 3 of their papers we have counts for
3 papers
math.DS2023
Global planar dynamics with a star node and contracting nolinearity
Begoña Alarcón, Sofia B. S. D. Castro, Isabel S. Labouriau
This is a complete study of the dynamics of polynomial planar vector fields whose linear part is a multiple of the identity and whose nonlinear part is a contracting homogeneous po…
math.DS2012★ 6 cited
Rotation numbers for planar attractors of equivariant homeomorphisms
B. Alarcón
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…
math.DS2007
Planar Embeddings with a Globally Attracting Fixed Point
Begona Alarcon, Victor Guinez, Carlos Gutierrez
We consider sufficient conditions which guarantee that a planar embedding has a unique fixed point. We study sufficient conditions which imply the appearing of a globally attractin…