20.500.12556/DKUM-93576 Time-reversibility and integrability of p : -q resonant vector fields 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 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. planar systems of ODEs time-reversibility integrability resonant singularity planarni sistemi integrabilnost časovna reverzibilnost true false true AIMS Press Angleški jezik Slovenski jezik https://www.aimspress.com/journal/math © 2024 the Author(s) Članek v reviji 2025-07-03 08:01:09 2025-07-03 08:01:09 2025-07-04 03:09:21 0000-00-00 00:00:00 2024 0 0 str. 73-88 št. 1 let. 9 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2023-08-26 2023-10-12 2023-11-27 51 184528899 10.3934/math.2024005 2473-6988 10.3934_math.2024005.pdf 10.3934_math.2024005.pdf 1 08FA16DB242700C416FD7A752845F1BD 89034de55705fe31934c2a9cb3b497511710c9cf54acf566595b1202b975cb1e 436d1d7e-57d4-11f0-95d1-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=193196 https://www.aimspress.com/article/doi/10.3934/math.2024005 0 4d3f37a4-57d4-11f0-95d1-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=193197 Fakulteta za elektrotehniko, računalništvo in informatiko 0 0 0