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The average-shadowing property and transitivity for continuous flows. (English) Zbl 1135.37300
Summary: We prove that a continuous flow with the average-shadowing property is chain transitive and a Lyapunov stable continuous flow with the average-shadowing property is a minimal flow.

37B05 Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.)
37C50 Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics
54H20 Topological dynamics (MSC2010)
Full Text: DOI
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