弱双曲流形的逼近

Approximation for Weak Hyperbolic Manifolds

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.