Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
This paper proposes novel forecasting models for fractional-order chaotic oscillators, such as Duffing`s, Van der Pol`s, Tamaševičius`s and Chua`s, using feedforward neural networks. The models predict a change in the state values which bears a weighted relationship with the oscillator states. Such an arrangement is a suitable candidate model for out-of-sample forecasting of system states. The proposed neural network-assisted weighted model is applied to the above oscillators. ; The improved out-of-sample forecasting results of the proposed modeling strategy compared with the literature are comprehensively analyzed. The proposed models corresponding to the optimal weights result in the least mean square error (MSE) for all the system states. Further, the MSE for the proposed model is less in most of the oscillators compared with the one reported in the literature. The proposed prediction model`s out-of-sample forecasting plots show the best tracking ability to approximate future state values.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 31, number 3 (2021) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
21 lip 2025
21 lip 2025
24
https://zbc.uz.zgora.pl/repozytorium/publication/101376
| Nazwa wydania | Data |
|---|---|
| Forecasting models for chaotic fractional-order oscillators using neural networks | 21 lip 2025 |
N`Doye, Ibrahima Darouach, Mohamed Voos, Holger Zasadzinski, Michel Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Grzymkowski, Łukasz Trofimowicz, Damian Stefański, Tomasz P. Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Djennoune, Said Bettayeb, Maamar Al-Saggaf, Ubaid Muhsen Gamper, Johann - ed. Wrembel, Robert - ed.
Si, Xindong Yang, Hongli Ivanov, Ivan G. Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Praczyk, Tomasz Korbicz, Józef (1951- ) - red.
Patan, Krzysztof Witczak, Marcin Korbicz, Józef (1951- ) Korbicz, Józef (1951- ) - ed. Sauter, Dominique - ed.
Duch, Włodzislaw Adamczak, Rafał Diercksen, Geerd H.F. Rutkowska, Danuta - ed. Zadeh, Lotfi A. - ed.
Szabó, Tamás Horváth, Gábor Korbicz, Józef (1951- ) - red. Patton, Ronald J. - red.