Stability of the Planar Quadratic Systems from the Ring-Theoretic Viewpoint

Author:

Zalar Borut,Mencinger MatejORCID

Abstract

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.

Funder

Slovenian Research Agency

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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