20.500.12556/DKUM-92036 Stability of the planar quadratic systems from the ring-theoretic viewpoint We show that the classical result on the stability of the origin in a quadratic planar system of ODEs can be formulated using either matrix theory or via its associated real and complex Marcus algebra. A generalization to a three-dimensional case is considered and some counterexamples provided. quadratic differential systems commutative nonassociative algebra singular points stability kvadratične diferencialne enačbe kvadratični sistem komutativna algebra kritične točke stabilnost true false true MDPI AG Angleški jezik Slovenski jezik https://www.mdpi.com/journal/mathematics © 2022 by the authors Članek v reviji 2025-03-12 14:46:31 2025-03-12 14:46:31 2025-03-13 03:12:45 0000-00-00 00:00:00 2022 0 0 12 str. no. 10 (1629) Vol. 10 May 2022 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2022-03-23 2022-05-05 2022-05-10 512.552 108182531 10.3390/math10101629 2227-7390 mathematics-10-01629.pdf mathematics-10-01629.pdf 1 A63CC8E1DF85273E976ABDFCCC801541 50d2f77cd830859bb4928e8fb2860c1d78fb55abff6ce8e44acf800a7fe80ac5 962e8314-ff48-11ef-9eb9-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=189212 https://www.mdpi.com/2227-7390/10/10/1629 0 9b2797ae-ff48-11ef-9eb9-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=189213 Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo 0 0 0