Abstract In this paper, we study the quasi-shadowing property for quasi-partially hyperbolic δ-pseudo-orbit made by quasi-partially hyperbolic strings. We also investigate the corresponding L p , limit and asymptotic quasi-shadowing properties. As an application, we prove that the set of points with periodic center leaves is dense in the non-wondering set for some partially hyperbolic flows.

中文翻译：

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准部分双曲流串的准阴影和极限准阴影

摘要 本文研究了由准部分双曲弦构成的准部分双曲δ伪轨道的准遮蔽特性。我们还研究了相应的 L p 、极限和渐近准阴影特性。作为一个应用，我们证明了具有周期性中心叶的点集在一些部分双曲线流的非奇异集合中是密集的。