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Stochastic properties in Devaney’s chaos

Author

Listed:
  • Wu, Chen
  • Xu, Zhengjie
  • Lin, Wei
  • Ruan, Jiong

Abstract

In this paper, stochastic properties proposed in the research of deterministic systems are associated with the topological properties in the Devaney’s definition of chaos.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:4:p:1195-1199
    DOI: 10.1016/j.chaos.2004.06.063
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    Citations

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    Cited by:

    1. Gu, Rongbao, 2007. "The large deviations theorem and ergodicity," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1387-1392.
    2. Lardjane, Salim, 2006. "On some stochastic properties in Devaney’s chaos," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 668-672.
    3. Li, Risong, 2012. "A note on stronger forms of sensitivity for dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 45(6), pages 753-758.
    4. Bessa, Mário, 2009. "Are there chaotic maps in the sphere?," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 235-237.
    5. Gu, Rongbao & Guo, Wenjing, 2006. "On mixing property in set-valued discrete systems," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 747-754.
    6. Niu, Yingxuan, 2009. "The large deviations theorem and sensitivity," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 609-614.

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