Estimating the Hölder Exponents Based on the -Complexity of Continuous Functions: An Experimental Analysis of the Algorithm

This paper describes one method for estimating the Hölder exponent based on the -complexity of continuous functions, a concept formulated lately. Computational experiments are carried out to estimate the Hölder exponent for smooth and fractal functions and study the trajectories of discrete determin...

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Bibliographic Details
Published inAutomation and remote control Vol. 84; no. 4; pp. 337 - 347
Main Authors Dubnov, Yu. A., Popkov, A. Yu, Darkhovsky, B. S.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 2023
Springer Nature B.V
Subjects
Algorithms
CAE) and Design
Calculus of Variations and Optimal Control; Optimization
Complexity
Computer-Aided Engineering (CAD
Continuity (mathematics)
Control
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Nonlinear Systems
Robotics
Stochastic systems
Systems Theory
complexity of continuous functions
the Hölder exponent
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Summary:This paper describes one method for estimating the Hölder exponent based on the -complexity of continuous functions, a concept formulated lately. Computational experiments are carried out to estimate the Hölder exponent for smooth and fractal functions and study the trajectories of discrete deterministic and stochastic systems. The results of these experiments are presented and discussed.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117923040057