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… Click to show full abstract
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.
               
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