2 papers
math.DS2025
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 s…
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…