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A remark on accessibility

Author

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  • Wu, Xinxing
  • Wang, Jianjun

Abstract

This note obtains some characteristics of accessibility and Kato’s chaos. Applying these results, an accessible dynamical system whose product system is not accessible is constructed, giving a negative answer to a question in [Li R, Wang H, Zhao Y. Kato’s chaos in duopoly games. Chaos Solit Fract 2016;84:69–72]. Besides, it is proved that every transitive interval self-map is accessible.

Suggested Citation

  • Wu, Xinxing & Wang, Jianjun, 2016. "A remark on accessibility," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 115-117.
    • Handle: RePEc:eee:chsofr:v:91:y:2016:i:c:p:115-117
    DOI: 10.1016/j.chaos.2016.05.015
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    Cited by:

    1. Yang, Xiaofang & Lu, Tianxiu & Waseem, Anwar, 2021. "Chaotic properties of a class of coupled mapping lattice induced by fuzzy mapping in non-autonomous discrete systems," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).

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