| 高维系统周期解的共振分支 |
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| 引用本文： | 韩茂安.高维系统周期解的共振分支[J].应用数学学报,1998,21(1):1-8. |
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| 作者姓名： | 韩茂安 |
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| 作者单位： | 上海交通大学应用数学系!上海，200030 |
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| 基金项目： | 国家教委优秀青年教师基金 |
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| 摘 要： | 本文利用Liapunov－Schmidt方法获得了高维自治系统在共振情况下决定周期解个数的分支函数，并通过计算分支函数的主项，分析分支函数的零点，研究了具两对共轭特征根的四维系统多个周期解的共振分支问题．
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| 关 键 词： | 周期解 共振 分支 |
RESONANT BIFURCATIONS OF PERIODIC SOLUTIONS OF HIGHER DIMENSIONAL SYSTEMS |
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| HAN MAOAN.RESONANT BIFURCATIONS OF PERIODIC SOLUTIONS OF HIGHER DIMENSIONAL SYSTEMS[J].Acta Mathematicae Applicatae Sinica,1998,21(1):1-8. |
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| Authors: | HAN MAOAN |
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| Abstract: | By using Liapunov-Schmidt's method, a bifurcating function is obtained whichdetermines the number of periodic solutions of higher dimensional autonomous systemsunder resonant cases. By computing the main terms and analyzing the zeros of bifurcatingfunctions, resonant bifurcations of multiple periodic solutions are studied for 4--dimensionalsystems with two pairs of conjugate eigenvalues. |
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| Keywords: | Periodic solution resonance bifurcation |
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