3 papers
math.DS2025
On entry-exit formulas for degenerate turning point problems in planar slow-fast systems
Renato Huzak, Kristian Uldall Kristiansen
In this paper, we study degenerate entry-exit problems associated with planar slow-fast systems having an invariant line with a turning point at . The dege…
math.DS2025
Fractal analysis of slow-fast and regular systems: A survey of recent results and future perspectives
Renato Huzak, Goran RadunoviÄ, Vesna ŽupanoviÄ
We survey recent developments in fractal analysis of regular and slow-fast dynamical systems using Minkowski dimension. Our focus is on spiral trajectories near monodromic limit pe…
math.DS2024
Ergodicity in planar slow-fast systems through slow relation functions
Renato Huzak, Hildeberto Jardón-Kojakhmetov, Christian Kuehn
In this paper, we study ergodic properties of the slow relation function (or entry-exit function) in planar slow-fast systems. It is well known that zeros of the slow divergence in…