Abstract:
This paper talks about the usage of algebraic methods in the studying of polinomial autonomus differential systems where ) , ( y x Pi m and ) , ( y x Qi m are homogeneous polynomials of degree im in x and .y With the help of Hilbert series and Sibirsky graded
algebras of comitants and invariants we obtain the nummerical upper bound of the number of algebraically independent focal pseudo–quantities, which take part in solving the center–focus problem for the
differential systems.
