4 papers
An unbounded number of canard limit cycles in linear regularizations of piecewise linear systems
Renato Huzak, Otavio Henrique Perez
The purpose of this paper is to study the number of limit cycles of canard type in linear regularizations of piecewise linear systems with non-monotonic transition functions. Using…
Canard cycles of non-linearly regularized piecewise smooth vector fields
Peter De Maesschalck, Renato Huzak, Otavio Henrique Perez
The main purpose of this paper is to study limit cycles in non-linear regularizations of planar piecewise smooth systems with fold points (or more degenerate tangency points) and c…
Cyclicity of sliding cycles with singularities of regularized piecewise smooth visible-invisible two-folds
Jicai Huang, Renato Huzak, Otavio Henrique Perez +1
In this paper we study the cyclicity of sliding cycles for regularized piecewise smooth visible-invisible two-folds, in the presence of singularities of the Filippov sliding vector…
Fractal analysis of canard cycles and slow-fast Hopf points in piecewise smooth Liénard equations
Renato Huzak, Ansfried Janssens, Otavio Henrique Perez +1
The main goal of this paper is to give a complete fractal analysis of piecewise smooth (PWS) slow-fast Liénard equations. For the analysis, we use the notion of Minkowski dimension…