Browsing Conferințe by Author "CALIN, Iurie"

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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 ...
A rational basis of GL (2, R )-comitants for the bidimensional polynomial system of differential equations of the fifth degree

CALIN, Iurie; ORLOV, Victor (Bons Offices, 2018)

Definition 1. The set S of the comitants is called a rational basis on M ⊆ A of the comitants for the system with respect to the group GL(2, R) if any comitant of the system (1) with respect to the group GL(2, R) can be ...
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 ...
The sufficient center conditions for some classes of bidimensional cubic differential systems

CALIN, Iurie; BALTAG, Valeriu (Bons Offices, 2018)

The definition of the transvectant of two polynomials is well known in the classical invariant theory. By using the transvectants for the system (1) the following GL(2, R)-invariants were constructed.

Browsing Conferințe by Author "CALIN, Iurie"

Browsing Conferințe by Author "CALIN, Iurie"

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