Some classes of polynomial bidimensional cubic differential systems with the symmetry axis
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2019-12-01 21:07
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CALIN, Iurie, BALTAG, Valeriu. Some classes of polynomial bidimensional cubic differential systems with the symmetry axis. In: Proceedings IMCS-55: The Fifth Conference of Mathematical Society of the Republic of Moldova, 28 septembrie - 1 octombrie 2019, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2019, pp. 28-31. ISBN 978-9975-68-378-4.
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Proceedings IMCS-55 2019
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chișinău, Moldova, 28 septembrie - 1 octombrie 2019

Some classes of polynomial bidimensional cubic differential systems with the symmetry axis


Pag. 28-31

Calin Iurie12, Baltag Valeriu1
 
1 Vladimir Andrunachievici Institute of Mathematics and Computer Science,
2 Moldova State University
 
Disponibil în IBN: 1 noiembrie 2019


Rezumat

The autonomous bidimensional polynomial cubic systems of differential equations with pure imaginary eigenvalues of the Jacobian matrix at the singular point (0, 0) are considered in this paper. For these cubic systems the necessary and sufficient GL(2,R)-invariant conditions to having the symmetry axis, which passes through the origin of the coordinates of the phase plane, were obtained. Also, for the mentioned systems GL(2,R)invariant sufficient center conditions for the origin of the coordinates of the phase plane were established.

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