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math.DS2020
Limit cycles from a monodromic infinity in planar piecewise linear systems
Emilio Freire, Enrique Ponce, Joan Torregrosa +1
Planar piecewise linear systems with two linearity zones separated by a straight line and with a periodic orbit at infinity are considered. By using some changes of variables and p…
math.DS2018
Bifurcation set for a disregarded Bogdanov-Takens unfolding. Application to 3D cubic memristor oscillators
Andrés Amador, Emilio Freire, Enrique Ponce
We derive the bifurcation set for a not previously considered three-parametric Bogdanov-Takens unfolding, showing that it is possible express its vector field as two different pert…
math.DS2016
Canards, folded nodes and mixed-mode oscillations in piecewise-linear slow-fast systems
Mathieu Desroches, Antoni Guillamon, Enrique Ponce +3
Canard-induced phenomena have been extensively studied in the last three decades, both from the mathematical and from the application viewpoints. Canards in slow-fast systems with…