@article{Giné2024, 
author = {Jaume Giné and Valery G. Romanovski and Joan Torregrosa},
title = {Time-reversibility and integrability of    p  :  −  q resonant vector fields},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {1},
pages = {73-88},
keywords = {planar systems of ODEs, time-reversibility, integrability, resonant singularity},
url = {https://www.sciopen.com/article/10.3934/math.2024005},
doi = {10.3934/math.2024005},
abstract = {We study the local analytical integrability in a neighborhood of    p  :  −  q resonant singular point of a two-dimensional vector field and its connection to time-reversibility with respect to the non-smooth involution    φ  (  x  ,  y  )  =  (      y          p              /            q        ,      x          q              /            p        )  . Some generalizations of the theory developed by Sibirsky for the    1  :  −  1 resonant case to the    p  :  −  q resonant case are presented.}
}