2 papers
math.DS2025
New stability criteria for periodic planar Lotka-Volterra systems
Paulo Santana
We present new a stability result for periodic solutions of the periodic predator prey Lotka Volterra model, based on boundaries for the average of the coexistence states. Our resu…
math.DS2024
On the cyclicity of hyperbolic polycycles
Claudio Buzzi, Armengol Gasull, Paulo Santana
Let be a planar smooth vector field with a polycycle with sides and all its corners, that are at most singularities, being hyperbolic saddles. In this paper we st…