3 papers
math.DS2025
A new family of integrable differential systems in arbitrary dimension
J. D. García-Saldaña, A. Gasull, S. Rebollo-Perdomo
We present a wide class of differential systems in any dimension that are either integrable or complete integrable. In particular, our result enlarges a known family of planar inte…
math.DS2024
Global dynamics and integrability of a Leslie-Gower predator-prey model with linear functional response and generalist predator
Martha Alvarez-Ramírez, Johanna D. García-Saldaña, Mario Medina
We deal with a Leslie-Gower predator-prey model with a generalist or alternating food for predator and linear functional response. Using a topological equivalent polynomial system…
math.DS2013
Bifurcation diagram and stability for a one-parameter family of planar vector fields
Johanna D. García-Saldaña, Armengol Gasull, Hector Giacomini
We consider the 1-parameter family of planar quintic systems, , , introduced by A. Bacciotti in 1985. It is known that it has at most one limit cy…