Estimating the Hölder exponents based on the \(\epsilon \)-complexity of continuous functions: an experimental analysis of the algorithm. (English. Russian original) Zbl 1521.93185
Autom. Remote Control 84, No. 4, 337-347 (2023); translation from Avtom. Telemekh. 2023, No. 4, 19-34 (2023).
Summary: This paper describes one method for estimating the Hölder exponent based on the \(\epsilon \)-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.
MSC:
| 93E03 | Stochastic systems in control theory (general) |
| 93C10 | Nonlinear systems in control theory |
| 26B35 | Special properties of functions of several variables, Hölder conditions, etc. |
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