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

Hu, Haiying and Cao, Yinghong and Yan, Huizhen (2021) Characteristic analysis of fractional-order simplest chaotic circuit based on Adomian decomposition method. In: GREENETS 2021, 6-7 June 2021, Dalian, People’s Republic of China.

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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.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: adm decomposition algorithm fractional-order memristive chaotic circuit dynamical characteristic dsp implementation
Subjects: T Technology > T Technology (General)
Depositing User: EAI Editor IV
Date Deposited: 10 Sep 2021 11:00
Last Modified: 10 Sep 2021 11:00
URI: https://eprints.eudl.eu/id/eprint/6793

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