Cyclicity of homoclinic loops and degenerate cubic Hamiltonians

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：jeffyi2009

【摘要】

：

New conditions for a planar homoclinic loop to have cyclicity two under multiple parameter perturbations have been obtained. As an application it is proved that

【作者】

：

韩茂安叶彦谦朱德明

【机构】

：

1.DepartmentofMathematics,2.DepartmentofMathematics,3.DepartmentofMathematics

【出处】

：

中国科学：数学英文版

【发表日期】

：

1999年6期

【关键词】

：

HOMOCLINIC loop bifurcation CYCLICITY QUADRATIC system. homoclinic loop bifurcat

【基金项目】

：

Project supported by the National Natural Science Foundation of China (Grant Nos. 19531070 and 19771037)

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New conditions for a planar homoclinic loop to have cyclicity two under multiple parameter perturbations have been obtained. As an application it is proved that a homoclinic loop of a nongeneric cubic Hamiltonian has cyclicity two under arbitrary quadrati

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