The Lyapunov quantities and the center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree
Închide
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
715 3
Ultima descărcare din IBN:
2018-10-10 08:03
Căutarea după subiecte
similare conform CZU
512.628+519.956 (1)
Algebră (400)
SM ISO690:2012
CALIN, Iurie, CIUBOTARU, Stanislav. The Lyapunov quantities and the center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 2(84), pp. 112-130. ISSN 1024-7696.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(84) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322

The Lyapunov quantities and the center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree

CZU: 512.628+519.956
MSC 2010: 34C05, 58F14

Pag. 112-130

Calin Iurie, Ciubotaru Stanislav
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 16 noiembrie 2017


Rezumat

For the autonomous bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree the GL(2, R)-invariant recurrence equations for determination of the Lyapunov quantities were established. Moreover, the general form of Lyapunov quantities for the mentioned systems is obtained. For a class of such systems the necessary and sufficient GL(2,R)-invariant conditions for the existence of center are given.

Cuvinte-cheie
Polynomial differential systems, invariant, comitant, transvectant, center conditions,

Lyapunov quantities