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Fractal properties of refined box dimension on functional graph

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  • Dai, Meifeng
  • Tian, Lixin

Abstract

Many fractals, which have theoretical and practical significance, take the form of functional graphs. For continuous functions whose graphs are fractal sets, their fractal characteristics are studied, and the relations between refined box dimensions of functional graphs before and after four arithmetic operations are discussed.

Suggested Citation

  • Dai, Meifeng & Tian, Lixin, 2005. "Fractal properties of refined box dimension on functional graph," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1371-1379.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:4:p:1371-1379
    DOI: 10.1016/j.chaos.2004.06.037
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    Cited by:

    1. Wang, Daohua & Zeng, Cheng & Zhao, Zixuan & Wu, Zhiqiang & Xue, Yumei, 2023. "Kirchhoff index of a class of polygon networks," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).

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