2 papers
math.DS2023
Global Centers in a Class of Quintic Polynomial Differential System
Leonardo P. C. da Cruz, Jaume LLibre
A center of a differential system in the plane is an equilibrium point having a neighborhood such that is filled of periodic orbits. A cen…
math.DS2023
New lower bound for the Hilbert number in low degree Kolmogorov systems
Yagor Romano Carvalho, Leonardo P. C. Da Cruz, Luiz F. S. Gouveia
Our main goal in this paper is to study the number of small-amplitude isolated periodic orbits, so-called limit cycles, surrounding only one equilibrium point a class of polynomial…