| Homoclinic Bifurcation of Orbit Flip with Resonant Principal Eigenvalues |
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| 作者姓名： | Tian Si ZHANG De Ming ZHU |
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| 作者单位： | Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China |
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| 基金项目： | Project supported by NNSFC （Grant： 10371040） |
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| 摘 要： |
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| 关 键 词： | 周期轨道 谐振 轨道翻转 数学分析 特征值 |
| 收稿时间： | 2003-08-01 |
| 修稿时间： | 2003-08-012004-02-23 |
Homoclinic Bifurcation of Orbit Flip with Resonant Principal Eigenvalues |
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| Tian Si ZHANG De Ming ZHU.Homoclinic Bifurcation of Orbit Flip with Resonant Principal Eigenvalues[J].Acta Mathematica Sinica,2006,22(3):855-864. |
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| Authors: | Tian Si Zhang De Ming Zhu |
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| Institution: | (1) Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China |
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| Abstract: | Codimension-3 bifurcations of an orbit-flip homoclinic orbit with resonant principal eigenvalues are studied for a four-dimensional system. The existence, number, co-existence and noncoexistence of 1-homoclinic orbit, 1-periodic orbit, 2n-homoclinic orbit and 2n-periodic orbit are obtained. The bifurcation surfaces and existence regions are also given. |
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| Keywords: | Orbit flip Homoclinic orbit Periodic orbit Resonance Principal eigenvalues |
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