The Lyapunov quantities and the GL(2,R)-invariant center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree
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2018-10-10 08:03
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CIUBOTARU, Stanislav, CALIN, Iurie. The Lyapunov quantities and the GL(2,R)-invariant center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 263-268. ISBN 978-9975-71-915-5.
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Conference of Mathematical Society of the Republic of Moldova
4, 2017
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chişinău, Moldova, 28 iunie - 2 iulie 2017

The Lyapunov quantities and the GL(2,R)-invariant center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree

Pag. 263-268

Ciubotaru Stanislav1, Calin Iurie2
 
1 Institute of Mathematics and Computer Science ASM,
2 Moldova State University
 
 
Disponibil în IBN: 5 octombrie 2017


Rezumat

For the bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree the recurent equations for determination of the Lyapunov quantities were established. Moreover, the general form of Lyapunov quantities for the mentioned systems were 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