Vladimir V. Basov
Universitetsky prospekt, 28,
198504, Peterhof, St. Petersburg, Russia,
Saint-Petersburg State University,
The Faculty of Mathematics and Mechanics,
Differential Equations Department
Svetlana E. Petrova
Universitetsky prospekt, 28, 198504, Peterhof, Saint-Petersburg, Russia,
Saint-Petersburg State University,
The Faculty of Mathematics and Mechanics, Differential Equations Department
All structures of generalized normal forms, to which a two-dimensional autonomous system of ordinary differential equations, whose unperturbed part is a quadratic-cubic polynomial, represented by a quasi-homogeneous polynomial, are obtained by a constructive method.