| BIFURCATION OF CUBIC INTEGRABLE SYSTEM UNDER CUBIC PERTURBATION |
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| 引用本文： | Wei Guoqiang (Fujian University of Traditional Chinese Medicine,Fuzhou 350001) Chen Guowei (College of Math.and Computer Science,Fuzhou University,Fuzhou 350002). BIFURCATION OF CUBIC INTEGRABLE SYSTEM UNDER CUBIC PERTURBATION[J]. Annals of Differential Equations, 2006, 22(4): 573-581 |
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| 作者姓名： | Wei Guoqiang (Fujian University of Traditional Chinese Medicine Fuzhou 350001) Chen Guowei (College of Math.and Computer Science Fuzhou University Fuzhou 350002) |
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| 作者单位： | Wei Guoqiang (Fujian University of Traditional Chinese Medicine，Fuzhou 350001) Chen Guowei (College of Math.and Computer Science，Fuzhou University，Fuzhou 350002) |
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| 摘 要： | In this paper, we consider the bifurcation for a class of cubic integrable system under cubic perturbation. Using bifurcation theory and qualitative analysis, we obtain a complete bifurcation diagram of the system in a neighbourhood of the origin for parameter plane.
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| 关 键 词： | 极限环 Hopf分歧 多重轨道分歧 定性分析 数学分析 |
BIFURCATION OF CUBIC INTEGRABLE SYSTEM UNDER CUBIC PERTURBATION |
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| Wei Guoqiang Chen Guowei. BIFURCATION OF CUBIC INTEGRABLE SYSTEM UNDER CUBIC PERTURBATION[J]. 微分方程年刊(英文版), 2006, 22(4): 573-581 |
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| Authors: | Wei Guoqiang Chen Guowei |
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| Affiliation: | [1]Fujian University of Traditional Chinese Medicine, Fuzhou 350001 [2]College of Math. and Computer Science, Fuzhou University, Fuzhou 350002 |
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| Abstract: | In this paper, we consider the bifurcation for a class of cubic integrable system under cubic perturbation. Using bifurcation theory and qualitative analysis, we obtain a complete bifurcation diagram of the system in a neighbourhood of the origin for parameter plane. |
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| Keywords: | system E31 limit cycles Hopf bifurcation heteroclinic loop bifurcation multiple orbit bifurcation |
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