The average-shadowing property and transitivity for continuous flows

Rongbao Gu, Yeqing Sheng and Zhijie Xia

Chaos, Solitons & Fractals, 2005, vol. 23, issue 3, 989-995

Abstract: 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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:23:y:2005:i:3:p:989-995

DOI: 10.1016/j.chaos.2004.06.059

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