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A Note on the Average-Shadowing Property and Topological Ergodicity for Flows

  • Conference paper
High Performance Networking, Computing, and Communication Systems (ICHCC 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 163))

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Abstract

The concepts of the ergodic shadowing was introduced. In this paper, we prove that a Lyapunov stable continuous flow with the average-shadowing property need not be topologically transitive. Consequently, such a flow need not be a minimal flow.

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Author information

Authors and Affiliations

  1. School of Science, Guangdong Ocean University, Zhanjiang, 524025, P.R. China

    Risong Li

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  1. Risong Li
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Editors and Affiliations

  1. Huazhong Normal University, Luoyu Road 452, 430079, Wuhan, Hubei, China

    Yanwen Wu

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Li, R. (2011). A Note on the Average-Shadowing Property and Topological Ergodicity for Flows. In: Wu, Y. (eds) High Performance Networking, Computing, and Communication Systems. ICHCC 2011. Communications in Computer and Information Science, vol 163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25002-6_8

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  • DOI: https://doi.org/10.1007/978-3-642-25002-6_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25001-9

  • Online ISBN: 978-3-642-25002-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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