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Title:
Stability of the planar quadratic systems from the ring-theoretic viewpoint
Authors:
ID
Zalar, Borut
(Author)
ID
Mencinger, Matej
(Author)
Files:
mathematics-10-01629.pdf
(288,81 KB)
MD5: A63CC8E1DF85273E976ABDFCCC801541
https://www.mdpi.com/2227-7390/10/10/1629
Language:
English
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
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.
Keywords:
quadratic differential systems
,
commutative nonassociative algebra
,
singular points
,
stability
Publication status:
Published
Publication version:
Version of Record
Submitted for review:
23.03.2022
Article acceptance date:
05.05.2022
Publication date:
10.05.2022
Publisher:
MDPI AG
Year of publishing:
2022
Number of pages:
12 str.
Numbering:
Vol. 10, no. 10 (1629)
PID:
20.500.12556/DKUM-92036
UDC:
512.552
ISSN on article:
2227-7390
COBISS.SI-ID:
108182531
DOI:
10.3390/math10101629
Copyright:
© 2022 by the authors
Publication date in DKUM:
12.03.2025
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0
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0
Metadata:
Categories:
Misc.
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Record is a part of a journal
Title:
Mathematics
Shortened title:
Mathematics
Publisher:
MDPI AG
ISSN:
2227-7390
COBISS.SI-ID:
523267865
Document is financed by a project
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
P1-0288-2022
Name:
Algebra in njena uporaba
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
N1-0063-2017
Name:
Algebraične metode za uporabo diferencialnih enačb
Licences
License:
CC BY 4.0, Creative Commons Attribution 4.0 International
Link:
http://creativecommons.org/licenses/by/4.0/
Description:
This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Secondary language
Language:
Slovenian
Keywords:
kvadratične diferencialne enačbe
,
kvadratični sistem
,
komutativna algebra
,
kritične točke
,
stabilnost
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