2 citations · 3 across the 4 of their papers we have counts for
4 papers · 1 filter
Global Saddles for Planar Maps
Begoña Alarcón, Sofia B. S. D. Castro, Isabel S. Labouriau
We study the dynamics of planar diffeomorphisms having a unique fixed point that is a hyperbolic local saddle. We obtain sufficient conditions under which the fixed point is a glob…
Discrete Symmetric Planar Dynamics
B. Alarcón, S. B. S. D. Castro, I. S. Labouriau
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.
Global Dynamics for Symmetric Planar Maps
B. Alarcon, S. B. S. D. Castro, I. S. Labouriau
We consider sufficient conditions to determine the global dynamics for equivariant maps of the plane with a unique fixed point which is also hyperbolic. When the map is equivariant…
A local but not global attractor for a Zn-symmetric map
B. Alarcon, S. B. S. D. Castro, I. S. Labouriau
There are many tools for studying local dynamics. An important problem is how this information can be used to obtain global information. We present examples for which local stabili…