On the number of limit cycles in double homoclinic bifurcations

被引：0
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作者：
韩茂安
陈健
机构：
[1] Department of Mathematics
[2] Shanghai Jiao Tong University
[3] Shanghai
[4] China
[5] Shanghai
来源：
Science in China,SerA. | 2000年 / Ser.A.2000卷 / 09期
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摘要：
<正> Let L be a double homoclinic loop of a Hamiltonian system on the plane. We obtain a condition under which L generates at most two large limit cycles by perturbations. We also give conditions for the existence of at most five or six limit cycles which appear near L under perturbations.
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页码：914 / 928
页数：15
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