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Hidden oscillation and chaotic sea in a novel 3d chaotic system with exponential function

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Abstract

In this work, a novel 3D chaotic system which has an exponential function is proposed. Especially, the sum of Lyapunov exponents in the proposed system is 0. It indicates that the system can generate attractive sea not attractor. In comparison with some other 3D chaotic systems, this type of chaotic system is relatively rare. In particular, the proposed system has non-equilibrium point, and it can produce hidden sea. Furthermore, the perpetual point of the proposed system is calculated. It is considered to be potentially related to the generation of hidden dynamics. By using the dynamic analysis tool such as 0-1 test and 2D dynamical map, the dynamic behaviors with different control parameters are analyzed. And then, based on the proposed 3D chaotic system, two new system models are reconstructed. The new model can produce the rotational hidden attractive sea with different angles. DSP implementation shows the feasibility of the system for industrial applications.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (Nos.: 12171004 and 61672124), the Password Theory Project of the 13th Five-Year Plan National Cryptography Development Fund (No: MMJJ

20170203), Liaoning Province Science and Technology Innovation Leading Talents Program Project (No.: XLYC1802013), Key R & D Projects of Liaoning Province (No.: 2019020105-JH2/103), Jinan City ‘20 universities’ Funding Projects Introducing Innovation Team Program (No: 2019GXRC031), Research Fund of Guangxi Key Lab of Multi-source Information Mining & Security (No: MIMS20-M-02).

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Authors and Affiliations

  1. School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan, 114051, China

    Xiaolin Ye

  2. School of Information Science and Technology, Dalian Maritime University, Dalian, 116026, China

    Xingyuan Wang

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  1. Xiaolin Ye
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  2. Xingyuan Wang
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Correspondence to Xiaolin Ye.

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Prof. Xingyuan Wang passed away during the peer review process.

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Ye, X., Wang, X. Hidden oscillation and chaotic sea in a novel 3d chaotic system with exponential function. Nonlinear Dyn 111, 15477–15486 (2023). https://doi.org/10.1007/s11071-023-08647-9

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  • DOI: https://doi.org/10.1007/s11071-023-08647-9

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