论文标题
CECH的共同体学，同型轨迹轨迹和鲁棒性的稳健性
Cech cohomology, homoclinic trajectories and robustness of non-saddle sets
论文作者
论文摘要
在本文中，我们研究流量$φ：M \ Times \ Mathbb {r} \ LongrightArrow m $，具有隔离的非助手集。我们看到，隔离的非助手集$ k $的影响区域的复杂性取决于$ k $在同一个级别的相位空间上的方式。我们在具有其影响区域的规定结构的表面上构建流动。我们还研究了光滑流的参数性家族和非助剂组的延续。
In this paper we study flows $φ:M\times\mathbb{R}\longrightarrow M$ having an isolated non-saddle set. We see that the complexity of the region of influence of an isolated non-saddle set $K$ depends on the way in which $K$ sits on the phase space at the cohomological level. We construct flows in surfaces having isolated non-saddle sets with a prescribed structure for its region of influence. We also study parametrized families of smooth flows and continuations of non-saddle sets.
