Research Article
Characteristic analysis of fractional-order simplest chaotic circuit based on Adomian decomposition method
@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
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.
