Proceedings of the 8th EAI International Conference on Green Energy and Networking, GreeNets 2021, June 6-7, 2021, Dalian, People’s Republic of China

Research Article

A novel chaotic system with 11 piecewise linear functions and its analog circuit implementation

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  • @INPROCEEDINGS{10.4108/eai.6-6-2021.2307842,
        author={Jieyang  Wang and Jiawu  Yu and Huizhen  Yan},
        title={A novel chaotic system with 11 piecewise linear functions and its analog circuit implementation},
        proceedings={Proceedings of the 8th EAI International Conference on Green Energy and Networking, GreeNets 2021, June 6-7, 2021, Dalian, People’s Republic of China},
        publisher={EAI},
        proceedings_a={GREENETS},
        year={2021},
        month={8},
        keywords={11 piecewise linear function intermittent chaos road hidden attractor analog circuit implementation},
        doi={10.4108/eai.6-6-2021.2307842}
    }
    
  • Jieyang Wang
    Jiawu Yu
    Huizhen Yan
    Year: 2021
    A novel chaotic system with 11 piecewise linear functions and its analog circuit implementation
    GREENETS
    EAI
    DOI: 10.4108/eai.6-6-2021.2307842
Jieyang Wang1, Jiawu Yu1,*, Huizhen Yan1
  • 1: Dalian Polytechnic University
*Contact email: yujiawu_dlpu@sina.com

Abstract

In this paper, a new four-dimensional chaotic system with 11 piecewise linear functions is proposed in this paper. The dynamic characteristics of the four-dimensional chaotic system are analyzed through the Lyapunov exponential spectrum and bifurcation diagram. The state of the system under different bifurcation parameter changes is observed and recorded, and the exact parameters of the system entering the chaotic state are determined by the 10 test method. Numerical simulation results show that the system has entered chaos from the intermittent chaotic road, and the system has hidden attractors. Finally, the corresponding analog circuit is designed through system dynamics equations and circuit theory, which provides a complete theoretical basis for the system.