IMI/Publicaţii/BASM/Ediţii/BASM n.3 (16), 1994/

New classes of cubic systems with seven limit cycles. (English)

Authors: Cherkas L. A., Shcheglova N. L.


Two-dimensional autonomous systems with homogeneous cubic nonlinearities are considered. Simultaneous bifurcation from centers in $(x_i, y_i)\not=(0, 0),\; i=1, 2$ is investigated. Classes of systems with seven limit cycles with distributions $(1) \supset ((3) + (3)),\; (1) + (3) + (3) $ are described.

Byelorussian State University of Informatics and Radioelectronics
Minsk, Byelorussia