| BIFURCATIONS OF ROUGH 3—POINT—LOOP WITH HIGHER DIMENSIONS |
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| 引用本文： | JIN Yinlai,ZHU Deming,ZHENG Qingyu. BIFURCATIONS OF ROUGH 3—POINT—LOOP WITH HIGHER DIMENSIONS[J]. 数学年刊B辑(英文版), 2003, 24(1): 85-96 |
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| 作者姓名： | JIN Yinlai ZHU Deming ZHENG Qingyu |
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| 作者单位： | Department of Mathematics，Linyi Teachers' University，Linyi 276005，Shandong，China. Department of Mathematics，East China Normal University，Shanghai 200062，China.，Department of Mathematics，East China Normal University，Shanghai 200062，China.，Department of Mathematics，Linyi Teachers' University，Linyi 276005，Shandong，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No.10071022)，the Shanghai Priority Academic Discipline. |
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| 摘 要： | The authors study the bifurcation problems of rough heteroclinic loop connecting three saddle points for the case β1 > 1, β2 > 1, β3 < 1 and β1β2β3 < 1. The existence, number, coexistence and incoexistence of 2-point-loop, 1-homoclinic orbit and 1-periodic orbit are studied. Meanwhile, the bifurcation surfaces and existence regions are given.
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| 关 键 词： | Poincaré map |
| 收稿时间： | 2025-09-01 |
BIFURCATIONS OF ROUGH 3-POINT-LOOP WITH HIGHER DIMENSIONS |
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| JIN Yinlai,ZHU Deming and ZHENG Qingyu. BIFURCATIONS OF ROUGH 3-POINT-LOOP WITH HIGHER DIMENSIONS[J]. Chinese Annals of Mathematics,Series B, 2003, 24(1): 85-96 |
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| Authors: | JIN Yinlai ZHU Deming ZHENG Qingyu |
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| Abstract: | The authors study the bifurcation problems of rough heteroclinic loop connecting threesaddle points for the case β1 ＞ 1, β2 ＞ 1, β3 ＜ 1 and β1β2β3 ＜ 1. The existence, number, co-existence and incoexistence of 2-point-loop, 1-homoclinic orbit and 1-periodic orbit are studied.Meanwhile, the bifurcation surfaces and existence regions are given. |
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| Keywords: | Local coordinates Poincare map 1-homoclinic orbit 1-periodic orbit Bifurcation surface |
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