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In this paper, we study the limit quasi-shadowing property for diffeomorphisms. We prove that any quasi-partially hyperbolic pseudoorbit \begin{document}$\{x_{i},n_{i}\}_{i∈ \mathbb{Z}}$\end{document} can be \begin{document}$\mathcal{L}^p$\end{document} -, limit and asymptotic quasi-shadowed by a… Click to show full abstract
In this paper, we study the limit quasi-shadowing property for diffeomorphisms. We prove that any quasi-partially hyperbolic pseudoorbit \begin{document}$\{x_{i},n_{i}\}_{i∈ \mathbb{Z}}$\end{document} can be \begin{document}$\mathcal{L}^p$\end{document} -, limit and asymptotic quasi-shadowed by a points sequence \begin{document}$\{y_{k}\}_{k∈ \mathbb{Z}}$\end{document} . We also investigate the \begin{document}$\mathcal{L}^p$\end{document} -, limit and asymptotic quasi-shadowing properties for partially hyperbolic diffeomorphisms which are dynamically coherent.
Journal Title: Discrete and Continuous Dynamical Systems
Year Published: 2017
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