On Algebraic Approach in Quadratic Systems
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-06
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Mencinger, Matej. 2011. On Algebraic Approach in Quadratic Systems. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-455748
Modern Language Association (MLA)
Mencinger, Matej. On Algebraic Approach in Quadratic Systems. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-455748
American Medical Association (AMA)
Mencinger, Matej. On Algebraic Approach in Quadratic Systems. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-455748
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455748