20.500.12556/DKUM-66193 On algebraic approach in quadratic systems 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. quadratic systems nonlinear systems kvadratični sistemi nelinearni sistemi true false true Angleški jezik Slovenski jezik Znanstveno delo 2017-06-14 12:03:16 2017-06-14 12:04:33 2022-07-10 03:06:48 2021-05-16 03:19:30 2011 0 0 str. 1-12 Letn. 2011 2011 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 0161-1712 512.646 25648128 14945814 10.1155/2011/230939 0161-1712 URN:SI:UM:DK:HGFMVVLU International_Journal_of_Mathematics_and_Mathematical_Sciences_2011_Mencinger_On_Algebraic_Approach_in_Quadratic_Systems.pdf International_Journal_of_Mathematics_and_Mathematical_Sciences_2011_Mencinger_On_Algebraic_Approach_in_Quadratic_Systems.pdf 1 A0D92C318EF074CE16E971CE30BA545C ebd3e1a07ae142ea6ed34d0b832997a5de0dfcda4a84580c260b1b2182973492 3e1ffeb9-7c0e-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=112517 http://www.hindawi.com/journals/ijmms/2011/230939/ 1 https://dk.um.si/Dokument.php?lang=slv&id=112516 Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo 0 0 0