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• W4293195529 abstract "<abstract><p>In the manuscript, we deal with a type of pseudo orbit tracing property and hyperbolicity about a vector field (or a divergence free vector field). We prove that a vector field (or a divergence free vector field) of a smooth closed manifold $ M $ has the robustly ergodic pseudo orbit tracing property then it does not contain any singularities and it is Anosov. Additionally, there is a dense and open set $ mathcal{R} $ in the set of $ C^1 $ a vector field (or a divergence free vector field) of a smooth closed manifold $ M $ such that given a vector field (or a divergence free vector field) has the ergodic pseudo orbit tracing property then it does not contain singularities and it is Anosov.</p></abstract>" @default.
• W4293195529 created "2022-08-27" @default.
• W4293195529 creator A5031254787 @default.
• W4293195529 date "2022-01-01" @default.
• W4293195529 modified "2023-10-04" @default.
• W4293195529 title "Flows with ergodic pseudo orbit tracing property" @default.
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• W4293195529 doi "https://doi.org/10.3934/era.2022122" @default.
• W4293195529 hasPublicationYear "2022" @default.
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