关于吸引域和管状邻域的Wilson定理
On Wilson's theorem about domains of attraction and tubular neighborhoods
摘要：
本文证明了自治系统的有限维光滑流形的紧致渐近稳定子流形的吸引区域与其管状邻域同胚.吸引子的紧性是至关重要的，没有它这个结果是假的;提供两个反例来证明这一点。
英文摘要：
In this paper, we show that the domain of attraction of a compact asymptotically stable submanifold of a finite-dimensional smooth manifold of an autonomous system is homeomorphic to its tubular neighborhood. The compactness of the attractor is crucial, without which this result is false; two counterexamples are provided to demonstrate this.
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。
