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Continuous semi-flows with the almost average shadowing property

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  • Garg, Mukta
  • Das, Ruchi

Abstract

In this article, we introduce the notion of almost average shadowing property (ALASP) for continuous semi-flows and study its properties. We give a class of continuous semi-flows possessing the ALASP. We also investigate the relationship of the ALASP with various known dynamical properties for continuous semi-flows, for instance, topological transitivity, weak mixing, strong ergodicity, equicontinuity, sensitivity, Li-Yorke chaos and Takens and Ruelle chaos.

Suggested Citation

  • Garg, Mukta & Das, Ruchi, 2017. "Continuous semi-flows with the almost average shadowing property," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 1-7.
    • Handle: RePEc:eee:chsofr:v:105:y:2017:i:c:p:1-7
    DOI: 10.1016/j.chaos.2017.10.005
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    References listed on IDEAS

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    1. Garg, Mukta & Das, Ruchi, 2016. "Relations of the almost average shadowing property with ergodicity and proximality," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 430-433.
    2. Gu, Rongbao, 2009. "The asymptotic average-shadowing property and transitivity for flows," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2234-2240.
    3. Gu, Rongbao & sheng, Yeqing & Xia, Zhijie, 2005. "The average-shadowing property and transitivity for continuous flows," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 989-995.
    4. Bessa, Mário & Ribeiro, Raquel, 2015. "Conservative flows with various types of shadowing," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 243-252.
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