Stability of the planar quadratic systems from the ring-theoretic viewpointZalar, Borut (Avtor) Mencinger, Matej (Avtor) quadratic differential systemscommutative nonassociative algebrasingular pointsstabilityWe 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. MDPI AG20222025-03-12 14:46:31Članek v reviji92036UDK: 512.552COBISS_ID: 108182531DOI: 10.3390/math10101629ISSN pri članku: 2227-7390sl© 2022 by the authors