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Multi-stability analysis and energy control for 4D hyperchaotic system with hidden attractors

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Abstract

Multi-stability and control of hyperchaotic system are researched in this paper. Firstly, a new 4D hyperchaotic system containing hidden attractors is modeled. Secondly, the coexistence of different attractors is confirmed and transient hyperchaotic phenomena is found as the parameters are changed. Then, the Hamiltonian energy function of the system is calculated and the energy feedback controller is designed to control the system. Finally, numerical simulations are performed to verify the validity of the results.

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Acknowledgements

The National Natural Science Foundation of China (No. 12362005), Major Special project of North Minzu University (No. ZDZX201902), Ningxia higher education first-class discipline construction funding project (NXYLXK2017B09).

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Authors and Affiliations

  1. School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, China

    Shaojuan Ma, Meibo Wang, **aoyan Ma & Hufei Li

  2. Ningxia Key Laboratory of Intelligent Information and Big Data Processing, Yinchuan, 750021, China

    Shaojuan Ma

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  1. Shaojuan Ma
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  2. Meibo Wang
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  3. **aoyan Ma
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  4. Hufei Li
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Contributions

SM: investigation, methodology, experiment and writing (original draft and editing). MW: supervision, funding acquisition and writing (review). XM: investigation, methodology, experiment and writing. HL: investigation, experiment and writing.

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Correspondence to **aoyan Ma.

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Ma, S., Wang, M., Ma, X. et al. Multi-stability analysis and energy control for 4D hyperchaotic system with hidden attractors. Eur. Phys. J. Spec. Top. (2023). https://doi.org/10.1140/epjs/s11734-023-00997-0

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