Browsing CAIM - 2018 by Subject "bidimensional polynomial systems"

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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 ...

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