| 弱双曲流形的逼近 |
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| 引用本文： | 邓圣福,杜正东,张伟年.弱双曲流形的逼近[J].数学学报,2005,48(4):715-726. |
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| 作者姓名： | 邓圣福 杜正东 张伟年 |
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| 作者单位： | [1]DepartmentofMathematics,VirginiaPoly.Inst.andStateUniversity,Blacksburg,VA24061,USA [2]四川大学数学学院，成都610064,VirginiaPoly.Inst.andStateUniversity,Blacksburg,VA24061,USA |
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| 基金项目： | 国家杰出青年科学基金资助项目(10428104)，国家自然科学基金资助项目(10471101)，四川大学青年科学基金资助项目(0020105505017) |
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| 摘 要： | 弱双曲流形是一类包含中心流形作为其特例的不变流形.本文讨论了它的逼近问题,不仅给出了计算其逼近的方法,还估计了使得这一逼近有效的它的局部性半径. 同时给出了一个具体实例来展示这些计算和估计.
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| 关 键 词： | 逼近 弱双曲流形 同宿轨 |
Approximation for Weak Hyperbolic Manifolds |
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| Sheng Fu DENG.Approximation for Weak Hyperbolic Manifolds[J].Acta Mathematica Sinica,2005,48(4):715-726. |
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| Authors: | Sheng Fu DENG |
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| Institution: | Sheng Fu DENG Department of Mathematics, Virginia Poly. Inst. and State University, Blacksburg, VA 24061, USA Zheng Dong DU Wei Nian ZHANG School of Mathematics, Sichuan University, Chengdu 610064, P. R. China |
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| Abstract: | In this paper, we approximate weak hyperbolic manifolds, a kind of invariant manifolds which include center manifolds as a special case. We not only give a method to compute the approximation but also estimate the locality radius for which the approximation is effective. We also give an example to show how the computation and estimation work. |
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| Keywords: | Approximation Weak hyperbolic manifold Homoclinic orbit |
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