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On some stochastic properties in Devaney’s chaos

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  • Lardjane, Salim

Abstract

The author complements recent results obtained by Xu et al. [Xu Z, Lin W, Ruan J. Decay of correlations implies chaos in the sense of Devaney. Chaos, Solitons & Fractals 2004;22:305–10, Wu C., Xu Z, Lin W, Ruan J. Stochastic properties in Devaney’s chaos. Chaos, Solitons & Fractals 2005;23:1195–9.] and Abraham et al. [Abraham C, Biau G, Cadre B. Chaotic properties of a mapping on a probability space. J Math Anal Appl 2002;266:420–31] on the links between several topological and stochastic properties of dynamical systems.

Suggested Citation

  • Lardjane, Salim, 2006. "On some stochastic properties in Devaney’s chaos," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 668-672.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:3:p:668-672
    DOI: 10.1016/j.chaos.2005.08.154
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    References listed on IDEAS

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    1. Wu, Chen & Xu, Zhengjie & Lin, Wei & Ruan, Jiong, 2005. "Stochastic properties in Devaney’s chaos," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1195-1199.
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    Cited by:

    1. Li, Risong, 2012. "A note on stronger forms of sensitivity for dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 45(6), pages 753-758.

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