A new 2D Hindmarsh-Rose neuron, its circuit implementation, and its application in dynamic flexible job shops problem

doi:10.1088/1674-1056/ae0892

中国物理B ›› 2025, Vol. 34 ›› Issue (12): 120503-120503.doi: 10.1088/1674-1056/ae0892

A new 2D Hindmarsh-Rose neuron, its circuit implementation, and its application in dynamic flexible job shops problem

Yao Lu(卢尧)^1,2, Weijie Nie(聂伟杰)¹, Xu Wang(王旭)¹, Xianming Wu(吴先明)^1,†, and Qingyao Ma(马晴瑶)¹

1 School of Mechanical and Electrical Engineering, Guizhou Normal University, Guiyang 550025, China;
2 Technical Engineering Center of Manufacturing Service and Knowledge Engineering, Guizhou Normal University, Guiyang 550025, China

收稿日期:2025-07-11 修回日期:2025-09-13 接受日期:2025-09-18 发布日期:2025-12-04
通讯作者: Xianming Wu E-mail:jsdxwxm@126.com
基金资助:
This work was supported by the Graduate Research Fund of Guizhou Province (Grant No. 2024YJSKYJJ165), the National Natural Science Foundation of China (Grant No. 62061008), and the Guizhou Provincial Basic Research Program (Natural Science) (Grant No. Qian Ke He Ji Chu-ZK [2024] General 439).

A new 2D Hindmarsh-Rose neuron, its circuit implementation, and its application in dynamic flexible job shops problem

Yao Lu(卢尧)^1,2, Weijie Nie(聂伟杰)¹, Xu Wang(王旭)¹, Xianming Wu(吴先明)^1,†, and Qingyao Ma(马晴瑶)¹

1 School of Mechanical and Electrical Engineering, Guizhou Normal University, Guiyang 550025, China;
2 Technical Engineering Center of Manufacturing Service and Knowledge Engineering, Guizhou Normal University, Guiyang 550025, China

Received:2025-07-11 Revised:2025-09-13 Accepted:2025-09-18 Published:2025-12-04
Contact: Xianming Wu E-mail:jsdxwxm@126.com
Supported by:
This work was supported by the Graduate Research Fund of Guizhou Province (Grant No. 2024YJSKYJJ165), the National Natural Science Foundation of China (Grant No. 62061008), and the Guizhou Provincial Basic Research Program (Natural Science) (Grant No. Qian Ke He Ji Chu-ZK [2024] General 439).

摘要/Abstract

摘要： We propose a simplified version of the classic two-dimensional Hindmarsh-Rose neuron (2DHR), resulting in a new 2DHR that exhibits novel chaotic phenomena. Its dynamic characteristics are analyzed through bifurcation diagrams, Lyapunov exponent spectra, equilibrium points, and phase diagrams. Based on this system, a corresponding circuit is designed and circuit simulations are carried out, yielding results consistent with the numerical simulations. To explore practical applications of chaotic systems, 2DHR is employed to improve the solution of the flexible job-shop scheduling problem with dynamic events. The research results demonstrate that applying 2DHR can significantly enhance the convergence rate of the optimization algorithm and improve the quality of the scheduling solution.

关键词: chaos, nervous system, meta-heuristic algorithm, dynamic flexible job-shop scheduling problem

Abstract: We propose a simplified version of the classic two-dimensional Hindmarsh-Rose neuron (2DHR), resulting in a new 2DHR that exhibits novel chaotic phenomena. Its dynamic characteristics are analyzed through bifurcation diagrams, Lyapunov exponent spectra, equilibrium points, and phase diagrams. Based on this system, a corresponding circuit is designed and circuit simulations are carried out, yielding results consistent with the numerical simulations. To explore practical applications of chaotic systems, 2DHR is employed to improve the solution of the flexible job-shop scheduling problem with dynamic events. The research results demonstrate that applying 2DHR can significantly enhance the convergence rate of the optimization algorithm and improve the quality of the scheduling solution.

Key words: chaos, nervous system, meta-heuristic algorithm, dynamic flexible job-shop scheduling problem

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

87.19.ll (Models of single neurons and networks) 89.75.-k (Complex systems)

Yao Lu(卢尧), Weijie Nie(聂伟杰), Xu Wang(王旭), Xianming Wu(吴先明), and Qingyao Ma(马晴瑶). A new 2D Hindmarsh-Rose neuron, its circuit implementation, and its application in dynamic flexible job shops problem[J]. 中国物理B, 2025, 34(12): 120503-120503.

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A new 2D Hindmarsh-Rose neuron, its circuit implementation, and its application in dynamic flexible job shops problem

A new 2D Hindmarsh-Rose neuron, its circuit implementation, and its application in dynamic flexible job shops problem

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