曲面上双曲不动点稳定流形定理的新证明
A new proof of the Stable Manifold Theorem for hyperbolic fixed points on surfaces
摘要：
本文介绍了一种新的证明方法，证明了经典的双曲不动点的稳定流形定理。这种方法比依赖于抽象的不动点定理的标准方法更具几何性。它是基于收敛的规范序列的“有限时间局部稳定流形”，这是有关的动态有限数量的迭代。
英文摘要：
We introduce a new technique for proving the classical Stable Manifold theorem for hyperbolic fixed points. This method is much more geometrical than the standard approaches which rely on abstract fixed point theorems. It is based on the convergence of a canonical sequence of ``finite time local stable manifolds'' which are related to the dynamics of a finite number of iterations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
