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

Characteristic analysis of fractional-order simplest chaotic circuit based on Adomian decomposition method

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  • @INPROCEEDINGS{10.4108/eai.6-6-2021.2307855,
        author={Haiying  Hu and Yinghong  Cao and Huizhen  Yan},
        title={Characteristic analysis of fractional-order simplest chaotic circuit based on Adomian decomposition method},
        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={adm decomposition algorithm fractional-order memristive chaotic circuit dynamical characteristic dsp implementation},
        doi={10.4108/eai.6-6-2021.2307855}
    }
    
  • Haiying Hu
    Yinghong Cao
    Huizhen Yan
    Year: 2021
    Characteristic analysis of fractional-order simplest chaotic circuit based on Adomian decomposition method
    GREENETS
    EAI
    DOI: 10.4108/eai.6-6-2021.2307855
Haiying Hu1, Yinghong Cao1,*, Huizhen Yan1
  • 1: Dalian Polytechnic University
*Contact email: caoyinghong@dlpu.edu.cn

Abstract

In this paper, a fractional order chaotic system is reconstructed in the simplest memristive chaotic circuit. The solution of this system is obtained through ADM. Phase diagrams, LEs, bifurcation diagrams and complexity are used in the dynamics study of this fractional chaotic system. At the same time, the stability of the chaotic circuit is concluded and its stability region is given. Meanwhile, the digital circuit of the system was designed and verified on the DSP board. Research results indicate that the ADM algorithm can accurately analyze and calculate effective numerical solutions of fractional-order chaotic systems. According to dynamic analysis, we can get that the system has complex dynamic behavior. This article provides a new direction for the study of the simplest fractional-order memristive chaotic circuits, and the guidance for the application of proposed systems in the actual field.