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math.DS2025
Bifurcation of Limit Cycles from a Fold-Fold Singularity in a Glacial Cycles Model
Oleg Makarenkov, Esther Widiasih
We study the occurrence of limit cycles from a point on the discontinuity hyperplane between two smooth vector fields where the two vector fields both point towards one another…
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…