极限拟跟踪性质

he paper study the limit quasi-shadowing property for diffeomorphisms.This paper prove that any quasi-partially hyperbolic pseudoorbit ${x_{i},n_{i}}_{iin mathbb{Z}}$ can be $mathcal{L}^p$-, limit and asymptotic quasi-shadowed by a points sequence ${y_{k}}_{kin mathbb{Z}}$.Moreover, this paper also investigate the $mathcal{L}^p$-, limit and asymptotic quasi-shadowing properties for partially hyperbolic diffeomorphisms which are dynamically coherent.