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The inverse problem for fractal curves solved with the dynamical approach method

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  • Bevilacqua, Luiz
  • Barros, Marcelo M.

Abstract

The purpose of the present paper is to present the main applications of a new method for the determination of the fractal structure of plane curves. It is focused on the inverse problem, that is, given a curve in the plane, find its fractal dimension. It is shown that the dynamical approach extends the characterization of a curve as a fractal object introducing the effects of mass density, elastic properties, and transverse geometry. The dynamical dimension characterizes material objects and suggests that biological characterization can be much more complete with the methodology presented here.

Suggested Citation

  • Bevilacqua, Luiz & Barros, Marcelo M., 2023. "The inverse problem for fractal curves solved with the dynamical approach method," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000140
    DOI: 10.1016/j.chaos.2023.113113
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    References listed on IDEAS

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    1. Alexander S. Balankin & Juliã N Patiã‘O Ortiz & Miguel Patiã‘O Ortiz, 2022. "Inherent Features Of Fractal Sets And Key Attributes Of Fractal Models," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(04), pages 1-23, June.
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