论文标题
拓扑流的定向和标准阴影特性
Oriented and standard shadowing properties for topological flows
论文作者
论文摘要
我们证明，面向和标准的阴影特性对于具有有限的单一奇异物的拓扑流是等效的。此外，我们证明，直接产品$ ϕ_1 \ times ϕ_2两个拓扑流的ϕ_2 $具有定向的shdowing属性，如果$ ϕ_1 $带有有限的缩写具有方向的阴影属性，而$ ϕ_2 $具有由有限的限制设置，这些限制设置由Lyapunov Stable stable或lyapunov stable或lyapunov Unpectable不稳定。
We prove that oriented and standard shadowing properties are equivalent for topological flows with finite singularites that are Lyapunov stable or Lyapunov unstable. Moreover, we prove that the direct product $ϕ_1 \times ϕ_2$ of two topological flows has the oriented shdowing property if $ϕ_1$ with finite singuralities has the oriented shadowing property, while $ϕ_2$ has the limit set consisting of finite singularities that are Lyapunov stable or Lyapunov unstable.
