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A 3D autonomous chaotic system: dynamics and synchronization

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Abstract

A 3D autonomous chaotic system is proposed, and its dynamics are also investigated. Then, based on adaptive synchronization control theory and sliding mode technology, an approach of adaptive sliding mode control (SMC) is proposed by constructing an adaptive law and a simple controller, the trajectories of this chaotic system can be globally stabilized, and the global synchronization is also presented. The results prove the effectiveness of the proposed method. Compared to previous synchronization schemes, this adaptive SMC mechanism can help the control design by estimating the unknown parameters, the controller is simple to design, and it is particularly easy to implement in engineering.

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References

  1. S Saifullah, E F Doungmo Goufo and A Ali Physica Scripta 97 7 (2022)

    Article  Google Scholar 

  2. S H Yan, Z L Song, W L Shi et al Int. J. Bifur. Chaos Appl. Sci. Eng. 32 4 (2022)

    Google Scholar 

  3. C Y Hu, Q Wang and X F Zhang Chaos, Solit. Fract. 162 (2022)

  4. A Sambas, S Vaidyanathan, X C Zhang et al IEEE Access, 10 (2022)

  5. L L Jia and B C Lai Eur. Phys. J. Plus 137 5 (2022)

    Article  ADS  Google Scholar 

  6. K Rajagopal, Y Shekofteh, F Nazarimehr et al Indian J of Phys 96 5 (2022)

    Article  Google Scholar 

  7. H Y Jia, Z G Chen, W X Shi, et al Int. J. Bifur. Chaos Appl. Sci. Eng. 32 2 (2022)

  8. S Vaidyanathan, K Benkouider and A Sambas Arch. Control Sci. 32 1 (2022)

    Google Scholar 

  9. R Ramamoorthy, R Karthikeyan, L Gervais Dolvis, et al Chaos, Solitons & Fractals. 156 (2022)

  10. L-J Ye, Y Cao, S-H Yang et al Comput. Chem. Eng. 159 107662 (2022)

    Article  Google Scholar 

  11. B Subartini, Sukono, V, Sundarapandian, et al Int. J. Appl. Math.. 51 4 (2021)

  12. Y Chen, Y Y Xu and Q Lin IMA J. Math. Control Inf. 38 2 (2021)

    Article  Google Scholar 

  13. C H Lien, S Vaidyanathan, A Sambas, et al IOP Conf. Ser.: Mater. Sci. Eng., 621 (2019)

  14. X Zhang, Z J Li and Chang Int. J. Electr. Commun. (AEÜ) 82 435 (2017)

    Article  Google Scholar 

  15. Q Lin, X F Wu and YC Chen Control Theory Appl. 35 8 (2018)

    Google Scholar 

  16. S Vaidyanathan Adv. Chaos Theory Intell. Control. 337 (2016)

  17. A Abbes, A Ouannas, N Shawagfeh and H Jahanshahi Nonlinear Dyn. 111 1 (2023)

    Article  Google Scholar 

  18. M Ma, Y Lu, Z Li, Y Sun and C Wang Fractal Fract. 7 1 (2023)

    Google Scholar 

  19. M T Shatnawi, A Abbes, A Ouannas and I M Batiha Physica Scripta 98 035213 (2023)

    Article  ADS  Google Scholar 

  20. A Abbes, A Ouannas and N Shawagfeh Chinese Physics B. 32 3 (2023)

    Article  Google Scholar 

  21. O A Almatroud and V T Pham Mathematics 11 6 (2023)

    Google Scholar 

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Authors and Affiliations

  1. School of Information and Management, Guangxi Medical University, Nanning, 530021, People’s Republic of China

    Shaofu Wang

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  1. Shaofu Wang
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Wang, S. A 3D autonomous chaotic system: dynamics and synchronization. Indian J Phys (2024). https://doi.org/10.1007/s12648-024-03189-1

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