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Equicontinuity of dendrite maps

Author

Listed:
  • Sun, Taixiang
  • Chen, Zhanhe
  • Liu, Xinhe
  • Xi, Hongjian

Abstract

Let (T,d) be a dendrite and f be a continuous map from T to T. Denote by ω(x,f) the ω-limit set of x under f.Write Ω(x,f)={y| there exist a sequence of points xk∈T and a sequence of positive integers n1

Suggested Citation

  • Sun, Taixiang & Chen, Zhanhe & Liu, Xinhe & Xi, Hongjian, 2014. "Equicontinuity of dendrite maps," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 10-13.
    • Handle: RePEc:eee:chsofr:v:69:y:2014:i:c:p:10-13
    DOI: 10.1016/j.chaos.2014.08.010
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    References listed on IDEAS

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    1. Sun, Taixiang & He, Qiuli & Xi, Hongjian, 2013. "Intra-orbit separation of dense orbits of dendrite maps," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 89-92.
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    Cited by:

    1. Sun, Taixiang & Su, Guangwang & Qin, Bin, 2019. "Pointwise equicontinuity of Zadeh’s extension of an interval map," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 1-4.
    2. Camargo, Javier & Rincón, Michael & Uzcátegui, Carlos, 2019. "Equicontinuity of maps on dendrites," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 1-6.

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