1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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…
The period function and the harmonic balance method
Johanna D. García-Saldaña, Armengol Gasull
In this paper we consider several families of potential non-isochronous systems and study their associated period functions. Firstly, we prove some properties of these functions, l…
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…
A theoretical basis for the Harmonic Balance Method
Johanna D. García-Saldaña, Armengol Gasull
The Harmonic Balance method provides a heuristic approach for finding truncated Fourier series as an approximation to the periodic solutions of ordinary differential equations. Ano…