Time-reversibility and integrability of p : -q resonant vector fieldsGiné, Jaume (Avtor) Romanovski, Valery (Avtor) Torregrosa, Joan (Avtor) planar systems of ODEstime-reversibilityintegrabilityresonant singularityWe 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 nonsmooth involution ϕ(x, y) = (yp/q, xq/p). Some generalizations of the theory developed by Sibirsky for the 1 : −1 resonant case to the p : −q resonant case are presented.AIMS Press20242025-07-03 08:01:09Članek v reviji93576sl© 2024 the Author(s)