LAPSE:2023.36887
Published Article
LAPSE:2023.36887
Adomian Decomposition, Firing Change Process Analysis and Synchronous Control of Fractional-Order Hindmarsh−Rose Neurons in Electromagnetic Field
November 30, 2023
In this paper, based on integer-order Hindmarsh−Rose (HR) neurons under an electric field, the fractional-order model is constructed, and the nonlinear term is decomposed by the Adomian decomposition method, and the numerical solution of the system is obtained. The firing behavior of the neuron model is analyzed by using a phase diagram, interspike interval (ISI) bifurcation diagram, sample entropy (SE) complexity, and largest Lyapunov exponent (LLE). Based on the sliding mode control theory, a chaos synchronization controller of the system is designed. Matlab simulation results show that the controller is realizable and effective, and also has the characteristic of fast response, which provides a reference for the control and application of a memristor neural network system.
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Keywords
firing, fractional-order HR neurons, ISI bifurcation diagram, synchronous control
Subject
Suggested Citation
Lei T, Fu H, Zang H, Huang L, Sun W. Adomian Decomposition, Firing Change Process Analysis and Synchronous Control of Fractional-Order Hindmarsh−Rose Neurons in Electromagnetic Field. (2023). LAPSE:2023.36887
Author Affiliations
Lei T: School of Computer and Information Engineering, Qilu Institute of Technology, Jinan 250200, China; Collaborative Innovation Center of Memristive Computing Application (CICMCA), Qilu Institute of Technology, Jinan 250200, China [ORCID]
Fu H: School of Computer and Information Engineering, Qilu Institute of Technology, Jinan 250200, China; Collaborative Innovation Center of Memristive Computing Application (CICMCA), Qilu Institute of Technology, Jinan 250200, China [ORCID]
Zang H: School of Computer and Information Engineering, Qilu Institute of Technology, Jinan 250200, China; Collaborative Innovation Center of Memristive Computing Application (CICMCA), Qilu Institute of Technology, Jinan 250200, China
Huang L: Collaborative Innovation Center of Memristive Computing Application (CICMCA), Qilu Institute of Technology, Jinan 250200, China
Sun W: Department of Rehabilitation, Taishan Vocational College of Nursing, Taian 271000, China
Fu H: School of Computer and Information Engineering, Qilu Institute of Technology, Jinan 250200, China; Collaborative Innovation Center of Memristive Computing Application (CICMCA), Qilu Institute of Technology, Jinan 250200, China [ORCID]
Zang H: School of Computer and Information Engineering, Qilu Institute of Technology, Jinan 250200, China; Collaborative Innovation Center of Memristive Computing Application (CICMCA), Qilu Institute of Technology, Jinan 250200, China
Huang L: Collaborative Innovation Center of Memristive Computing Application (CICMCA), Qilu Institute of Technology, Jinan 250200, China
Sun W: Department of Rehabilitation, Taishan Vocational College of Nursing, Taian 271000, China
Journal Name
Processes
Volume
11
Issue
9
First Page
2568
Year
2023
Publication Date
2023-08-27
Published Version
ISSN
2227-9717
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Original Submission
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PII: pr11092568, Publication Type: Journal Article
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Published Article
LAPSE:2023.36887
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External Link
doi:10.3390/pr11092568
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[v1] (Original Submission)
Nov 30, 2023
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Nov 30, 2023
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https://psecommunity.org/LAPSE:2023.36887
Original Submitter
Calvin Tsay
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