Quasi-shadowing and limit quasi-shadowing for quasi-partially hyperbolic strings of flows
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.07.030
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… read more here.
Keywords: partially hyperbolic; limit; quasi shadowing; hyperbolic strings ... See more keywords
Measurable Versions of Some Topological Properties for Diffeomorphisms with Continuous Foliations
Sign Up to like & getrecommendations! Published in 2023 at "Mathematical Problems in Engineering"
DOI: 10.1155/2023/6050079
Abstract: In this paper, the concepts of plaque expansivity, topological quasi-stability, and quasi-shadowing property for Borel measures are considered. It is proved that every plaque expansive measure with the quasi-shadowing property is topologically quasi-stable with respect… read more here.
Keywords: quasi shadowing; diffeomorphisms continuous; measurable versions; topological properties ... See more keywords
On the limit quasi-shadowing property
Sign Up to like & getrecommendations! Published in 2017 at "Discrete and Continuous Dynamical Systems"
DOI: 10.3934/dcds.2017123
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} .… read more here.
Keywords: begin document; limit quasi; document; quasi shadowing ... See more keywords