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Fractional-order chaotic oscillator-based Aquila optimization algorithm for maximization of the chaotic with Lorentz oscillator

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Abstract

The random structures in the Aquila optimization algorithm are modeled with fractional chaotic oscillators, and the fractional-order chaotic oscillator-based Aquila optimization (FOCOBAO) algorithm was suggested in this study. First of all, the basic AO algorithm was examined. In particular, random variables that affect the optimization performance of the AO algorithm have been determined. Then, instead of the determined random variables, the coefficients were derived with fractional chaotic oscillators and used in the FOCOBAO. The superiority of the proposed algorithm was primarily demonstrated via twenty-three benchmark functions. The results were matched with GO, EO, GWO, MPA, WOA, SMA and basic AO optimization algorithms. Then, the design of the Lorenz chaotic oscillator, according to maximum chaotic objective function, is a topic that remains up to date in the literature. In this study, a fractional chaotic Lorenz oscillator was designed with FOCOBAO as an engineering application. Especially for maximum chaoticity, maximum positive Lyapunov exponents were determined. In this way, a different design process has been proposed in the literature. The basic AO algorithm, which includes stochastic processes, was developed with fractional chaotic oscillators, and a deterministic method was obtained. The parameters of the Lorenz system were calculated for maximum chaoticity, and the results were presented comparatively.

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Author information

Authors and Affiliations

  1. Engineering Faculty Computer Engineering Department, Inonu University, Malatya, Turkey

    Yakup Cavlak & Abdullah Ateş

  2. Computer Science Department, Prince Hussein Bin Abdullah Faculty for Information Technology, Al Al-Bayt University, Mafraq, 25113, Jordan

    Laith Abualigah

  3. College of Engineering, Yuan Ze University, Taoyuan, Taiwan

    Laith Abualigah

  4. Hourani Center for Applied Scientific Research, Al-Ahliyya Amman University, Amman, 19328, Jordan

    Laith Abualigah

  5. MEU Research Unit, Middle East University, Amman, Jordan

    Laith Abualigah

  6. Applied Science Research Center, Applied Science Private University, Amman, 11931, Jordan

    Laith Abualigah

  7. School of Computer Sciences, Universiti Sains Malaysia, 11800, Gelugor, Pulau Pinang, Malaysia

    Laith Abualigah

  8. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

    Mohammed Abd Elaziz

  9. Faculty of Computer Science and Engineering, Galala University, Suez, 435611, Egypt

    Mohammed Abd Elaziz

  10. Artificial Intelligence Research Center (AIRC), College of Engineering and Information Technology, Ajman University, Ajman, UAE

    Mohammed Abd Elaziz

  11. Department of Electrical and Computer Engineering, Lebanese American University, Byblos, 13-5053, Lebanon

    Laith Abualigah & Mohammed Abd Elaziz

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  1. Yakup Cavlak
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  2. Abdullah Ateş
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Correspondence to Abdullah Ateş.

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Cavlak, Y., Ateş, A., Abualigah, L. et al. Fractional-order chaotic oscillator-based Aquila optimization algorithm for maximization of the chaotic with Lorentz oscillator. Neural Comput & Applic 35, 21645–21662 (2023). https://doi.org/10.1007/s00521-023-08945-8

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