科研之友
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摘要
We prove that if a continuous, Lyapunov stable map f from a compact metric space X into itself is topologically transitive and has the asymptotic average shadowing property, then X is consisting of one point. As an application, we prove that the identity map i(X) : X -> X does not have the asymptotic average shadowing property, where X is a compact metric space with at least two points.
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单位广东海洋大学
