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Quasi-shadowing and limit quasi-shadowing for quasi-partially hyperbolic strings of flows

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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.

Keywords: partially hyperbolic; limit; quasi shadowing; hyperbolic strings; quasi partially

Journal Title: Journal of Differential Equations
Year Published: 2020

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