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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.

MSC:
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)
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