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.

Bibliographic Details

Published in:	Mathematics
Main Authors:	Borut Zalar, Matej Mencinger
Format:	Article
Language:	English
Published:	MDPI AG 2022-05-01
Subjects:	quadratic differential systems commutative nonassociative algebra singular points stability
Online Access:	https://www.mdpi.com/2227-7390/10/10/1629