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math.DS2025
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…
math.DS2023
Minkowski dimension and slow-fast polynomial Liénard equations near infinity
Peter De Maesschalck, Renato Huzak, Ansfried Janssens +1
In planar slow-fast systems, fractal analysis of (bounded) sequences in has proved important for detection of the first non-zero Lyapunov quantity in singular Hopf bifu…
math.DS2021
Jump-induced mixed-mode oscillations through piecewise-affine maps
Yiorgos Patsios, Renato Huzak, Nikola Popovic +1
Mixed-mode oscillations (MMOs) are complex oscillatory patterns in which large-amplitude relaxation oscillations (LAOs) alternate with small-amplitude oscillations (SAOs). MMOs are…