摘要
In this paper we consider global and local bifurcations in disturbed planar Hamiltonianvector fields which are invariant under a rotation over π. All calculation formulas of bifurcationcurves have been obtained. Various possible distributions and the existence of limit cycles andsingular cycles in different parameter regions have been determined. It is shown that for a planarcubic differential system there are infinitely many parameters in the three-parameter space suchthat Hilbert number H(3)≥11.
In this paper we consider global and local bifurcations in disturbed planar Hamiltonianvector fields which are invariant under a rotation over π. All calculation formulas of bifurcationcurves have been obtained. Various possible distributions and the existence of limit cycles andsingular cycles in different parameter regions have been determined. It is shown that for a planarcubic differential system there are infinitely many parameters in the three-parameter space suchthat Hilbert number H(3)≥11.
基金
This project is supported by National Natural Science Foundation of China
