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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. |
关键词: Perturbation Homoclinic orbit Melnikov function bifurcation limit cycle. |
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基金项目:the Natural Science Foundation of Shandong Province, China(No. ZR2010AZ003) |
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Global bifurcation of a cubic system perturbed by degree four |
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