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Chaos of a sequence of maps in a metric space

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  • Tian, Chuanjun
  • Chen, Guanrong

Abstract

During the last two decades, chaos of a time-invariant map on a metric space has been extensively studied in the literature. In this paper, by introducing several new concepts, chaos of a time-varying map (i.e., a sequence of time-invariant maps) in a metric space is discussed and, by using these new concepts, broader chaotic discrete dynamical systems are further studied with several new results derived.

Suggested Citation

  • Tian, Chuanjun & Chen, Guanrong, 2006. "Chaos of a sequence of maps in a metric space," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 1067-1075.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:4:p:1067-1075
    DOI: 10.1016/j.chaos.2005.08.127
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    Cited by:

    1. Dhaval Thakkar & Ruchi Das, 2014. "On Nonautonomous Discrete Dynamical Systems," International Journal of Analysis, Hindawi, vol. 2014, pages 1-6, June.
    2. Salman, Mohammad & Das, Ruchi, 2018. "Multi-sensitivity and other stronger forms of sensitivity in non-autonomous discrete systems," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 341-348.
    3. Shao, Hua & Shi, Yuming & Zhu, Hao, 2018. "On distributional chaos in non-autonomous discrete systems," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 234-243.
    4. Llorens-Fuster, Enrique & Petruşel, Adrian & Yao, Jen-Chih, 2009. "Iterated function systems and well-posedness," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1561-1568.

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