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Title:
On algebraic approach in quadratic systems
Authors:
ID
Mencinger, Matej
(
Author
)
Files:
International_Journal_of_Mathematics_and_Mathematical_Sciences_2011_Mencinger_On_Algebraic_Approach_in_Quadratic_Systems.pdf
(2,74 MB)
MD5: A0D92C318EF074CE16E971CE30BA545C
http://www.hindawi.com/journals/ijmms/2011/230939/
Language:
English
Work type:
Scientific work
Typology:
1.02 - Review Article
Organization:
FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
Abstract:
When considering friction or resistance, many physical processes are mathematically simulated by quadratic systems of ODEs or discrete quadratic dynamical systems. Probably the most important problem when such systems are applied in engineering is the stability of critical points and (non)chaotic dynamics. In this paper we consider homogeneous quadratic systems via the so-called Markus approach. We use the one-to-one correspondence between homogeneous quadratic dynamical systems and algebra which was originally introduced by Markus in (1960). We resume some connections between the dynamics of the quadratic systems and (algebraic) properties of the corresponding algebras. We consider some general connections and the influence of power-associativity in the corresponding quadratic system.
Keywords:
quadratic systems
,
nonlinear systems
Publication status:
Published
Publication version:
Version of Record
Year of publishing:
2011
Number of pages:
str. 1-12
Numbering:
Letn. 2011
PID:
20.500.12556/DKUM-66193
ISSN:
0161-1712
UDC:
512.646
ISSN on article:
0161-1712
COBISS.SI-ID:
14945814
DOI:
10.1155/2011/230939
NUK URN:
URN:SI:UM:DK:HGFMVVLU
Publication date in DKUM:
14.06.2017
Views:
1224
Downloads:
436
Metadata:
Categories:
Misc.
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Record is a part of a journal
Title:
International Journal of Mathematics and Mathematical Sciences
Shortened title:
Int. J. Math. Math. Sci.
Publisher:
Hindawi Publishing Corporation
ISSN:
0161-1712
COBISS.SI-ID:
25648128
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.
Licensing start date:
14.06.2017
Secondary language
Language:
Slovenian
Keywords:
kvadratični sistemi
,
nelinearni sistemi
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