S¹×S²上非奇异Morse-Smale流的李雅普诺夫图
Lyapunov graphs of Non-singular Morse-Smale flows on $S^1 \times S^2$
首次发表
浏览论文内容
中文总结 AI 辅助
本文在B. Yu的研究基础上，以过滤邻域为局部数据，刻画S¹×S²上非奇异Morse-Smale流的李雅普诺夫图，并明确了可实现为该类图的有向图类型。
中文摘要 AI 辅助
继B. Yu关于S¹×S²上非奇异Smale流的李雅普诺夫图的工作后，我们以附着于顶点的过滤邻域作为局部数据，刻画S¹×S²上非奇异Morse-Smale流的李雅普诺夫图；更确切地说，我们确定了哪些由过滤邻域标记顶点的有向图可实现为这类李雅普诺夫图。
英文摘要
Following B. Yu's work on Lyapunov graphs of non-singular Smale flows on $S^1\times S^2$, we characterize the Lyapunov graphs of non-singular Morse-Smale flows on $S^1 \times S^2$ by using filtrating neighborhoods as the local data attached to the vertices. More precisely, we determine which oriented graphs with vertices labeled by filtrating neighborhoods can be realized as such Lyapunov graphs.
