| 一类三次系统在四次扰动下的全局分支 |
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| 引用本文： | Desheng Shang,Zheng Wang. 一类三次系统在四次扰动下的全局分支[J]. 上海师范大学学报(自然科学版), 2014, 43(5): 464-475 |
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| 作者姓名： | Desheng Shang Zheng Wang |
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| 作者单位： | Department of Mathematics,School of Sciences,Shandong University of Technology |
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| 基金项目： | supported by the Natural Science Foundation of Shandong Province,China(No.ZR2010AZ003) |
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| 摘 要： | Using the method of multi-parameter perturbation theory and qualitative analysis,a cubic system perturbed by degree four are investigated in this paper. After systematic analysis,it is found that the studied system can have nine limit cycles with their distributions are obtained.
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| 关 键 词： | Perturbation Homoclinic orbit Melnikov function bifurcation limit cycle. |
| 收稿时间： | 2014-06-22 |
Global bifurcation of a cubic system perturbed by degree four |
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| Desheng Shang,Zheng Wang. Global bifurcation of a cubic system perturbed by degree four[J]. Journal of Shanghai Normal University(Natural Sciences), 2014, 43(5): 464-475 |
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| Authors: | Desheng Shang Zheng Wang |
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| Abstract: | Using the method of multi-parameter perturbation theory and qualitative analysis,a cubic system perturbed by degree four are investigated in this paper. After systematic analysis,it is found that the studied system can have nine limit cycles with their distributions are obtained. |
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| Keywords: | Perturbation Homoclinic orbit Melnikov function bifurcation limit cycle |
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