论文标题
关于威尔逊的定理，关于吸引力和管状社区的领域
On Wilson's theorem about domains of attraction and tubular neighborhoods
论文作者
论文摘要
在本文中，我们表明，自主系统的有限维平滑歧管的紧凑型稳定的亚体吸引的领域对其管状邻域是同构的。吸引子的紧凑性至关重要，没有这个结果是错误的。提供了两个反例来证明这一点。
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.
