TY - JOUR
T1 - INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS
AU - Balankin, Alexander S.
AU - Ortiz, Julián Patiño
AU - Ortiz, Miguel Patiño
N1 - Publisher Copyright:
© 2022 World Scientific Publishing Company.
PY - 2022/6/1
Y1 - 2022/6/1
N2 - The main goal of this work is to develop a robust framework for an exhaustive description of essential properties of a fractal object. For this purpose, the inherent features of fractal sets are scrutinized. The topological, metrological, morphological, and topographical attributes of fractal systems are delineated. The criteria of the fractal connectedness are established. The characteristics of the fractal connectivity and ramification are ascertained. The index of the fractal loopiness is introduced. The quantifications of the fractal heterogeneity, lacunarity, and anisotropy are briefly sketched out. A set of key attributes which enable a proper characterization of fractal system are suggested.
AB - The main goal of this work is to develop a robust framework for an exhaustive description of essential properties of a fractal object. For this purpose, the inherent features of fractal sets are scrutinized. The topological, metrological, morphological, and topographical attributes of fractal systems are delineated. The criteria of the fractal connectedness are established. The characteristics of the fractal connectivity and ramification are ascertained. The index of the fractal loopiness is introduced. The quantifications of the fractal heterogeneity, lacunarity, and anisotropy are briefly sketched out. A set of key attributes which enable a proper characterization of fractal system are suggested.
KW - Connectivity
KW - Degrees Of Freedom
KW - Dimension Numbers
KW - Fractals
KW - Loopiness
KW - Ramification
UR - http://www.scopus.com/inward/record.url?scp=85129757987&partnerID=8YFLogxK
U2 - 10.1142/S0218348X22500827
DO - 10.1142/S0218348X22500827
M3 - Artículo
AN - SCOPUS:85129757987
SN - 0218-348X
VL - 30
JO - Fractals
JF - Fractals
IS - 4
M1 - 2250082
ER -