Adomian Decomposition, Firing Change Process Analysis and Synchronous Control of Fractional-Order Hindmarsh–Rose Neurons in Electromagnetic Field

Lei, Tengfei; Fu, Haiyan; Zang, Hongyan; Huang, Lili; Sun, Wenqiang

doi:10.3390/pr11092568

Cited by 3 publications

(2 citation statements)

References 36 publications

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“…Memristors have been proposed to work as synaptic weights in neural networks [39]. By using memristors as an alternative to synaptic connections, these networks are able to perform with higher computing parallelism and energy efficiency [40][41][42]. As the father of memristors, Leon Chua accrued many important achievements in his later work, such as Chua circuit, cellular neural networks, electronic computing, and so on.…”

Section: Memristor-based Pufsmentioning

confidence: 99%

Advances in Physical Unclonable Functions Based on New Technologies: A Comprehensive Review

Cao,

Xu,

et al. 2023

Mathematics

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A physical unclonable function (PUF) is a technology designed to safeguard sensitive information and ensure data security. PUFs generate unique responses for each challenge by leveraging random deviations in the physical microstructures of integrated circuits (ICs), making it incredibly difficult to replicate them. However, traditional silicon PUFs are now susceptible to various attacks, such as modeling attacks using conventional machine learning techniques and reverse engineering strategies. As a result, PUFs based on new materials or methods are being developed to enhance their security. However, in the realm of survey papers, it has come to our attention that there is a notable scarcity of comprehensive summaries and introductions concerning these emerging PUFs. To fill this gap, this article surveys PUFs based on novel technologies in the literature. In particular, we first provide an insightful overview of four types of PUFs that are rooted in advanced technologies: bionic optical PUF, biological PUF, PUF based on printed electronics (PE), and PUF based on memristors. Based on the overview, we further discuss the evaluation results of their performance based on specific metrics and conduct a comparative analysis of their performance. Despite significant progress in areas such as limited entry and regional expertise, it is worth noting that these PUFs still have room for improvement. Therefore, we have identified their potential shortcomings and areas that require further development. Moreover, we outline various applications of PUFs and propose our own future prospects for this technology. To sum up, this article contributes to the understanding of PUFs based on novel technologies by providing an in-depth analysis of their characteristics, performance evaluation, and potential improvements. It also sheds light on the wide range of applications for PUFs and presents enticing prospects for future advancements in this field.

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Section: Memristor-based Pufsmentioning

confidence: 99%

Advances in Physical Unclonable Functions Based on New Technologies: A Comprehensive Review

Cao,

Xu,

et al. 2023

Mathematics

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“…They constructed a new fractional parameter with higher degrees of freedom compared to ordinary operators, exhibiting more complex dynamic behavioral characteristics. Lei et al [52] established a new fractional-order model based on Hindmarsh Rose neurons in an electric field environment. Throughthe Adomian resolving approach, they decomposed each nonlinear term and analyzed the firing behavior of the neuron model.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis and Field-Programmable Gate Array Implementation of a 5D Fractional-Order Memristive Hyperchaotic System with Multiple Coexisting Attractors

Yu,

Zhang,

Xiao

et al. 2024

Fractal Fract

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On the basis of the chaotic system proposed by Wang et al. in 2023, this paper constructs a 5D fractional-order memristive hyperchaotic system (FOMHS) with multiple coexisting attractors through coupling of magnetic control memristors and dimension expansion. Firstly, the divergence, Kaplan–Yorke dimension, and equilibrium stability of the chaotic model are studied. Subsequently, we explore the construction of the 5D FOMHS, introducing the definitions of the Caputo differential operator and the Riemann–Liouville integral operator and employing the Adomian resolving approach to decompose the linears, the nonlinears, and the constants of the system. The complex dynamic characteristics of the system are analyzed by phase diagrams, Lyapunov exponent spectra, time-domain diagrams, etc. Finally, the hardware circuit of the proposed 5D FOMHS is performed by FPGA, and its randomness is verified using the NIST tool.

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Dynamics and Complexity Analysis of A Fractional-order Financial Risk System Based on Adomian Decomposition Method

Yang,

Fu,

Zheng

et al. 2023

2023 IEEE International Conference on Memristive Computing and Applications (ICMCA)

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Adomian Decomposition, Firing Change Process Analysis and Synchronous Control of Fractional-Order Hindmarsh–Rose Neurons in Electromagnetic Field

Cited by 3 publications

References 36 publications

Advances in Physical Unclonable Functions Based on New Technologies: A Comprehensive Review

Advances in Physical Unclonable Functions Based on New Technologies: A Comprehensive Review

Dynamic Analysis and Field-Programmable Gate Array Implementation of a 5D Fractional-Order Memristive Hyperchaotic System with Multiple Coexisting Attractors

Dynamics and Complexity Analysis of A Fractional-order Financial Risk System Based on Adomian Decomposition Method

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