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Numerical Study and FPGA Implementation of a New 3D Chaotic System

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Abstract

A new 3D chaotic system with only one nonlinear term is constructed in this paper, which has conservative and dissipative features respectively by choosing different parameters. The complex dynamic behaviors of the system are analyzed theoretically and numerically by using nonlinear analytical tools, such as Lyapunov exponents, phase portraits, and bifurcation diagrams. In a certain range of parameters, the new system is a non-Hamiltonian conservative chaotic system, which can produce infinitely many coexisting conservative flows. With the variation of parameters, the divergence of the system is less than zero, and the system can also generate hidden and self-excited attractors with multi-scroll. To verify the feasibility of the new system, it has been implemented by field-programmable gate array; phase diagrams obtained in the experiment are consistent with the simulation of the data.

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Funding

This work was supported by the National Natural Science Foundations of China under Grant No. 62071411.

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  1. School of Physics and Optoelectric Engineering, Xiangtan University, Xiangtan, 411105, Hunan, People’s Republic of China

    Yange Zhang, Yicheng Zeng & Jingliang Gao

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  1. Yange Zhang
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  2. Yicheng Zeng
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  3. Jingliang Gao
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Correspondence to Yicheng Zeng.

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Zhang, Y., Zeng, Y. & Gao, J. Numerical Study and FPGA Implementation of a New 3D Chaotic System. Braz J Phys 51, 1884–1896 (2021). https://doi.org/10.1007/s13538-021-00990-9

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