Isochronicity and normal forms of polynomial systems of ODEs

Maoan Han (Avtor), Valery Romanovski (Avtor)

Povzetek

We propose a generalization of the notion of isochronicity for real polynomial autonomous systems to the case of complex two dimensional systems of ODEs. We study the generalized problem in the case of a quadratic system and a system with homogeneous cubic nonlinearities. Main tools of the study are algorithms of computational algebra based on the Groebner basis theory.

Ključne besede

polynomial systems of ODE`s;isochronicity;linearizability;normal forms;

Podatki

Jezik:	Angleški jezik
Leto izida:	2012
Tipologija:	1.08 - Objavljeni znanstveni prispevek na konferenci
Organizacija:	UM FNM - Fakulteta za naravoslovje in matematiko
UDK:	51
COBISS:	19324168
ISSN:	0747-7171
Št. ogledov:	661
Št. prenosov:	85
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
URN:	URN:SI:UM:
Vrsta dela (COBISS):	Delo ni kategorizirano
Strani:	str. 1163-1174
Letnik:	ǂVol. ǂ47
Zvezek:	ǂiss. ǂ10
Čas izdaje:	Oct. 2012
DOI:	10.1016/j.jsc.2011.12.039
ID:	1440182