Browsing CAIM - 2018 by Author "CIUBOTARU, Stanislav"

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Minimal polynomial basis of GL (2, R )-comitants and of GL (2, R )-invariants of the planar system of differential equations with nonlinearities of the fourth degree

CIUBOTARU, Stanislav; CALIN, Iurie (Bons Offices, 2018)

The theory of algebraic invariants and comitants for polynomial autonomous systems of differential equations has been developed by C. Sibirschi and his disciples. One of the important problems concerning this theory is the ...
The sufficient center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree

CALIN, Iurie; CIUBOTARU, Stanislav (Bons Offices, 2018)

In this paper we consider the class of systems (1) (or (2)) with the conditions I3 = 0, I1 =0, I2 > 0. The conditions I1 = 0, I2 > 0 mean that the eigenvalues of the Jacobian matrix at the singular point (0, 0) are pure ...

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