| BIFURCATION OF LIMIT CYCLES FROM A DOUBLE HOMOCLINIC LOOP WITH A ROUGH SADDLE |
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| 作者姓名： | HAN Maoan BI Ping |
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| 作者单位： | HAN MAOAN BI PING Department of Mathematics，Shanghai Jiaotong University，Shanghai 200030，China.
Department of Mathematics，Shanghai Jiaotong University，Shanghai 200030，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No.10371072)，the Ministry of Education of China (No.20010248019, No.20020248010). |
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| 摘 要： | This paper concerns with the bifurcation of limit cycles from a double homoclinic loop under multiple parameter perturbations for general planar systems. The existence conditions of 4 homoclinic bifurcation curves and small and large limit cycles are especially investigated.
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| 关 键 词： | 极限周值 极限环 双重循环 分歧 存在条件 曲线 |
| 收稿时间： | 2022/11/2 0:00:00 |
BIFURCATION OF LIMIT CYCLES FROM A DOUBLE HOMOCLINIC LOOP WITH A ROUGH SADDLE |
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| HAN Maoan,BI Ping.BIFURCATION OF LIMIT CYCLES FROM A DOUBLE HOMOCLINIC LOOP WITH A ROUGH SADDLE[J].Chinese Annals of Mathematics,Series B,2004,25(2):233-242. |
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| Authors: | HAN Maoan and BI Ping |
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| Institution: | Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, China |
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| Abstract: | This paper concerns with the bifurcation of limit cycles from a double homoclinic loop under multiple parameter perturbations for general planar systems. The existence conditions of 4 homoclinic bifurcation curves and small and large limit cycles are especially investigated. |
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| Keywords: | Double homoclinic loop Bifurcation Limit cycle |
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