2 papers
math.DS2024
Crossing limit cycles in piecewise smooth Kolmogorov systems: an application to Palomba's model
Yagor Romano Carvalho, Luiz Fernando da Silva Gouveia, Oleg Makarenkov
In this paper, we study the number of isolated crossing periodic orbits, so-called crossing limit cycles, for a class of piecewise smooth Kolmogorov systems defined in two zones se…
math.DS2023
Study of Poincare map and limit cycles for non-smooth Welander's system
Yagor Romano Carvalho, Luiz F. S. Gouveia, Richard Mcgehee
In this work, our primary goal is to study the Poincare map and the existence of limit cycles for Welander's model that describes ocean convection. Welander developed two versions…