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arXiv · 2407.02434

Zero Time Discontinuity Mapping (ZDM) and Poincar\'e 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
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Abstract

In this work, we study the dynamics of an impact hybrid system. We built applications called ZDM (Zero Discontinuity Mapping) and PDM (Poincar\'e 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.

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Mauricio Firmino Silva Lima, Tiago Rodrigo Perdigão. 2024-07-02. Zero Time Discontinuity Mapping (ZDM) and Poincar\'e Discontinuity Mapping (PDM) in a neighbourhood of a regular grazing point of order 4 in impacting hybrid systems. https://arxiv.org/abs/2407.02434

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