On algebraic approach in quadratic systems

review article

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;

Data

Language:	English
Year of publishing:	2011
Typology:	1.02 - Review Article
Organization:	UM FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
UDC:	512.646
COBISS:	14945814
ISSN:	0161-1712
Views:	664
Downloads:	336
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary keywords:	kvadratični sistemi;nelinearni sistemi;
URN:	URN:SI:UM:
Type (COBISS):	Scientific work
Pages:	12 str.
Volume:	ǂVol. ǂ2011
Issue:	ǂArticle ID ǂ230939
Chronology:	2011
DOI:	10.1155/2011/230939
ID:	10842671