The average-shadowing property and topological ergodicity for flows

Rongbao Gu and Wenjing Guo

Chaos, Solitons & Fractals, 2005, vol. 25, issue 2, 387-392

Abstract: In this paper, the transitive property for a flow without sensitive dependence on initial conditions is studied and it is shown that a Lyapunov stable flow with the average-shadowing property on a compact metric space is topologically ergodic.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:25:y:2005:i:2:p:387-392

DOI: 10.1016/j.chaos.2004.11.046

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