paper

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

arXiv:2407.02434

Abstract

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 in a neighbourhood of the 4 order regular grazing point, whose objective is to correct the behaviour of flows in the neighbourhood of this points.

23 pages, 6 figures

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 · wovepaper