| 一类三维系统的次调和解与不变环面的分支 |
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| 引用本文： | 刘宣亮,刘永奇.一类三维系统的次调和解与不变环面的分支[J].数学的实践与认识,2010,40(21). |
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| 作者姓名： | 刘宣亮 刘永奇 |
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| 摘 要： | 讨论一类三维自治系统的闭轨在周期扰动下的分支问题.利用Poincare映射与积分流形定理,得到扰动系统存在次调和解和不变环面的条件,以及次调和解的鞍结点分支.
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| 关 键 词： | 分支 次调和解 不变环面 |
Bifurcation of Subharmonic Solutions and Invariant Tori of a Three-dimensional System |
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| LIU Xuan-liang,LIU Yong-qi.Bifurcation of Subharmonic Solutions and Invariant Tori of a Three-dimensional System[J].Mathematics in Practice and Theory,2010,40(21). |
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| Authors: | LIU Xuan-liang LIU Yong-qi |
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| Abstract: | We study bifurcations of a closed orbit of a three-dimensional system under periodic perturbation.By using Poincare map and integral manifold theory,sufficient conditions for the existence of subharmonic solutions and invariant tori of the perturbed system are obtained.Moreover,saddle-node bifurcations of subharmonic solutions are studied. |
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| Keywords: | bifurcation subharmonic solutions invariant tori |
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