3 papers
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…
q-bio.NC2025
Bifurcation of spiking oscillations from a center in resonate-and-fire neurons
Oleg Makarenkov, Marianne Bezaire, Michael Hasselmo
The theta rhythm is important for many cognitive functions including spatial processing, memory encoding, and memory recall. The information processing underlying these functions i…
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…