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Ji-bin Li (1985)
Planer Cubic Hamiltonian Systems and Distributions of Limit Cycles of (E3)Acta. Math. Sinica, 28
Qi-ming Huang, Ji-bin Li (1985)
Bifurcations of Limit Cycles forming Compound Eyes in the Planer Cubic System (II)J. of Yunnan University, 7
V. Arnold (1983)
Geometrical Methods in the Theory of Ordinary Differential Equations
Ji-bin Li (1987)
Bifurcations of Limit Cycles Forming Compound Eyes in the Cubic SystemChin. Ann. of Math., 8
In this paper we consider global and local bifurcations in disturbed planar Hamiltonian vector fields which are invariant under a rotation over π. All calculation formulas of bifurcation curves have been obtained. Various possible distributions and the existence of limit cycles and singular cycles in different parameter regions have been determined. It is shown that for a planar cubic differential system there are infinitely many parameters in the three-parameter space such that Hilbert numberH(3)≥11.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 13, 2005
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