2 papers
math.DS2024
One-dimensional Piecewise Smooth Rational Degree Maps
MaurÃcio Firmino Silva Lima, Tiago Rodrigo Perdigão
In this paper, we consider a class of continuous maps characterized by a singularity of order (with , , and ) on one side of the discont…
math.DS2024
Zero Time Discontinuity Mapping (ZDM) and Poincaré Discontinuity Mapping (PDM) in a neighbourhood of a regular grazing point of order 4 in impacting hybrid systems
Mauricio Firmino Silva Lima, Tiago Rodrigo Perdigão
In this work, we study the dynamics of an impact hybrid system. We built applications called ZDM (Zero Discontinuity Mapping) and PDM (Poincaré Discontinuity Mapping), for points…