弱双曲流形的逼近  

Approximation for Weak Hyperbolic Manifolds

作　　者：邓圣福 杜正东[2] 张伟年[2] 

机构地区：[1]Department of Mathematics [2]四川大学数学学院,成都610064

出　　处：《数学学报（中文版）》2005年第4期715-726,共12页Acta Mathematica Sinica：Chinese Series

基　　金：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)

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.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.

关 键 词：逼近 弱双曲流形 同宿轨 

分 类 号：O175.12[理学—数学]