THE POINCAR(E) BIFURCATION OF THE NON-HAMILTONIAN QUADRATIC INTEGRABLE SYSTEM WITH A DEGENERATE CRITICAL POINT FORMED BY CUBICS

摘要

In this paper, we investigate the Poincar(e) bifurcation of the non-Hamiltonian quadratic integrable system with a degenerate critical point formed by cubics. It is proved that the cyclicity of the period annulus under quadratic perturbations is equal to two.