20.500.12556/DKUM-84857 Linearizability of 2:-3 resonant systems with quadratic nonlinearities In this paper, the linearizability of a 2:-3 resonant system with quadratic nonlinearities is studied. We provide a list of the conditions for this family of systems having a linearizable center. The conditions for linearizablity are obtained by computing the ideal generated by the linearizability quantities and its decomposition into associate primes. To successfully perform the calculations, we use an approach based on modular computations. The sufficiency of the obtained conditions is proven by several methods, mainly by the method of Darboux linearization. polynomial systems ODE's linearizability problem linearizability quantities Darboux linearization p:-q resonant system polinomi resonance linearni problemi true true true Angleški jezik Slovenski jezik Članek v reviji 2023-08-01 14:36:51 2023-08-01 14:36:51 2024-03-01 09:29:26 0000-00-00 00:00:00 2021 0 0 str. 1-25 no. 1510 Vol. 13 2021 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2021-01-01 514.2 73890563 10.3390/sym13081510 2073-8994 Linearizability_of_2_-3_Resonant_Sys-Zulj-2021.pdf Linearizability_of_2_-3_Resonant_Sys-Zulj-2021.pdf 1 BBC30813175AB42AEE5767825CF865D9 51a7a59534ec1a07d079094c6b675d6a04fd39d239aede5315c74e2df47e86b9 baa18ad1-3068-11ee-8110-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=169142 https://www.mdpi.com/2073-8994/13/8/1510 0 c6460b76-3068-11ee-8110-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=169143 Fakulteta za energetiko Fakulteta za naravoslovje in matematiko Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo 0 0 0