| Bifurcation of Degenerate Homoclinic Orbits toSaddle-Center in Reversible Systems |
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| 作者姓名： | Xingbo LIU Deming ZHU |
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| 作者单位： | Xingbo LIU Deming ZHU Department of Mathematics，East China Normal University，Shanghai 200241，China. |
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| 基金项目： | 国家自然科学基金，the Shanghai Leading Academic Discipline Project |
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| 摘 要： | The authors study the bifurcation of homoclinic orbits from a degenerate homoclinic orbit in reversible system. The unperturbed system is assumed to have saddle-center type equilibrium whose stable and unstable manifolds intersect in two-dimensional manifolds. A perturbation technique for the detection of symmetric and nonsymmetric homoctinic orbits near the primary homoclinic orbits is developed. Some known results are extended.
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| 关 键 词： | 可逆系统 鞍点 分岐 等偏轨道 |
| 收稿时间： | 1/8/2022 12:00:00 AM |
Bifurcation of Degenerate Homoclinic Orbits to Saddle-Center in Reversible Systems |
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| Xingbo LIU,Deming ZHU.Bifurcation of Degenerate Homoclinic Orbits toSaddle-Center in Reversible Systems[J].Chinese Annals of Mathematics,Series B,2008,29(6):575-584. |
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| Authors: | Xingbo LIU and Deming ZHU |
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| Institution: | Department of Mathematics, East China Normal University, Shanghai 200241, China |
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| Abstract: | The authors study the bifurcation of homoclinic orbits from a degenerate ho-moclinic orbit in reversible system. The unperturbed system is assumed to have saddle-center type equilibrium whose stable and unstable manifolds intersect in two-dimensional manifolds. A perturbation technique for the detection of symmetric and nonsymmetric homoclinic orbits near the primary homoclinic orbits is developed. Some known results are extended. |
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| Keywords: | Reversible system Homoclinic orbits Saddle-center Bifurcation |
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