In this paper we study the weak two-sided limit shadowing for flows on a compact metric space which is different with the usual shadowing, two-sided limit shadowing and L-shadowing, and characterize the weak two-sided limit shadowing flows from the pointwise and measurable viewpoints. Moreover, we prove that if a flow $ \phi $ has the weak two-sided limit shadowing property on its chain recurrent $ CR(\phi) $ then the set $ CR(\phi) $ is decomposed by a finite number of closed invariant sets on which $ \phi $ is topologically transitive and has the two-sided limit shadowing property.

中文翻译：

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具有弱的双向极限阴影特性的流

在本文中，我们研究了紧凑度量空间上与常规阴影，两侧极限阴影和L阴影不同的弱两边极限阴影流，并从点方向刻画了弱两边极限阴影流的特征。和可衡量的观点。此外，我们证明了，如果流$ \ phi $在其链循环$ CR（\ phi）$上具有较弱的双向限制阴影属性，则集合$ CR（\ phi）$将被有限个闭合数分解$ \ phi $在拓扑上是可传递的，并且具有两侧限制阴影属性的不变量集。