On a class of fractal functions with graph box dimension 2

DOI10.1016/j.chaos.2003.12.100zbMath1062.28011OpenAlexW2079345122MaRDI QIDQ1771500

Tingfan Xie, Song Ping Zhou

Publication date: 21 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.12.100

zbMATH Keywords

Weierstrass functionHausdorff dimensiongraphsbox dimension

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (8)

A REVIEW OF FRACTAL FUNCTIONS AND APPLICATIONS ⋮ CARDINALITY AND FRACTAL LINEAR SUBSPACE ABOUT FRACTAL FUNCTIONS ⋮ SEVERAL SPECIAL FUNCTIONS IN FRACTALS AND APPLICATIONS OF THE FRACTAL IN MACHINE LEARNING ⋮ FRACTAL DIMENSION VARIATION OF CONTINUOUS FUNCTIONS UNDER CERTAIN OPERATIONS ⋮ A geometric based connection between fractional calculus and fractal functions ⋮ FRACTAL DIMENSION OF PRODUCT OF CONTINUOUS FUNCTIONS WITH BOX DIMENSION ⋮ On a class of fractal functions with graph Hausdorff dimension 2 ⋮ APPROXIMATION OF THE SAME BOX DIMENSION IN CONTINUOUS FUNCTIONS SPACE

Cites Work

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• On dimensions of Cantor set related systems
• The Minkowski dimension and critical effects in fractal evolution of defects
• On a class of Besicovitch functions to have exact box dimension: A necessary and sufficient condition
• The Lyapunov dimension of a nowhere differentiable attracting torus

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