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Article
Physics, Multidisciplinary
Zhi-Jun Li et al.
Summary: A fractional-order multistable memristor is proposed in this paper due to its similarity to biological synapses, and its characteristics and influence of fractional-order are verified. A fractional-order memristive neuron model is developed by considering the fractional-order memristor as an autapse of the HR neuron model, and the effects of various factors on the neuronal firing behavior are discussed. Three coexisting firing patterns and the role of fractional-order in inducing pattern transitions and changing firing frequency are observed. A neuron circuit with variable fractional-order is designed to verify the simulations.
Article
Engineering, Electrical & Electronic
Zhang Zhang et al.
Summary: In this study, a reconfigurable memristor emulator implemented in FPGA is proposed, which has low hardware utilization and high operating frequency. The synaptic function of the emulator is evaluated by constructing a memristor crossbar array and performing digital recognition tasks using an artificial neural network.
MICROELECTRONICS JOURNAL
(2023)
Article
Computer Science, Artificial Intelligence
Wenhao Zhou et al.
Summary: This paper proposes a new circuit for implementing the STDP learning rule based on the forgetting memristor. It analyzes and discusses the impact of synapses with long-term and short-term memory on the learning characteristics of the neural network, laying a foundation for the construction of a time-division multiplexing neural network with long-term and short-term memory synapses.
Article
Computer Science, Artificial Intelligence
Shaobo He et al.
Summary: The design of artificial neural networks based on memristors has received increasing attention from researchers. However, there have been no reports of discrete memristor-based neural networks. In this study, a novel discrete memristor BP neural network is designed. A three-layer discrete memristor BP neural network is built for MNIST-10 handwriting recognition, achieving a high classification accuracy of 97.16%, which demonstrates the effectiveness of the proposed method.
Article
Engineering, Mechanical
Junwei Sun et al.
Summary: This paper proposes a hyperbolic type memristor with local activity to generate asymmetrical hysteresis loops. A HR-FN neuron model coupled by the locally active hyperbolic memristor is constructed and its complex dynamical behaviors are investigated through numerical analysis, verifying its circuit implementation. Furthermore, an image encryption algorithm based on chaotic sequences and DNA sequence operations is introduced, with chaotic sequences generated by the HR-FN neural coupling system. Experimental results confirm the strong resistance to interference and corruption of the algorithm.
NONLINEAR DYNAMICS
(2023)
Article
Computer Science, Information Systems
Yiming Ren et al.
Summary: Researchers have developed a circuit composed of a three-terminal memristor network to artificially replicate the associative intelligence of the biological brain. This network has the ability to recall multiple digit images and improve recognition rates for fragmentary images, providing a new approach for applications such as object recognition.
SCIENCE CHINA-INFORMATION SCIENCES
(2023)
Article
Computer Science, Information Systems
Gayathri Vivekanandhan et al.
Summary: In this paper, a memristor is added to the two-dimensional neural model Chialvo to consider the effects of electromagnetic induction. The dynamics of the system are analyzed by obtaining bifurcation diagrams and Lyapunov spectra. The study shows that the magnetic strength and injected current are the most effective parameters on the dynamics. The memristive Chialvo can exhibit different neural behaviors and has coexisting attractors, similar to the primary Chialvo model. Furthermore, it is found that electrical coupling is essential for synchronization in the network of memristive Chialvo, while chemical coupling alone does not lead to synchronization.
Article
Mathematics, Applied
Feifei Yang et al.
Summary: Connecting memristors enhances potential controllability; magnetic flux-controlled memristor estimates electromagnetic induction effect; charge-controlled memristor estimates external electric field effect.
Article
Mathematics, Applied
Md Arzoo Jamal et al.
Summary: The article focuses on fixed-time synchronization (FXTS) of memristor neural networks (MNNs) with time-varying delay and impulsive effects. Sufficient conditions for achieving FXTS of MNNs under synchronizing and desynchronizing impulses are derived using the average impulsive interval concept and comparison principle. The FXTS of MNNs under desynchronizing impulses has not been investigated in literature. Numerical simulation and theoretical analysis demonstrate that the estimated settling time for MNNs under synchronizing impulses is less conservative than previous results. A numerical example is provided to illustrate the effectiveness and superiority of the improved synchronization methodology.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Physics, Multidisciplinary
Xinyu Gao et al.
Summary: We propose a color image encryption scheme by combining hyperchaotic map, cross-plane operation, and gene theory. The hyperchaotic map used in the scheme is analyzed and studied, and a color image encryption scheme is designed based on its dynamics. A DNA mutation operation is applied at the end of the encryption process to enhance image randomness and improve algorithm security. Simulation experiments, performance analysis, and attack tests validate the effectiveness and security of the proposed algorithm. This work explores the potential application of chaos theory and gene theory in image encryption.
Article
Computer Science, Hardware & Architecture
Fei Yu et al.
Summary: In this paper, a new 5D memristive exponential hyperchaotic system is proposed and its fundamental dynamics characteristics are analyzed. The system exhibits a rich set of dynamic behaviors when appropriate parameter sets are chosen. The system is implemented using the Field Programmable Gate Array (FPGA) and the experimental results are consistent with the numerical simulation results on MATLAB. An image encryption application based on the system is presented, and the security analysis demonstrates the feasibility and effectiveness of the image encryption algorithm.
INTEGRATION-THE VLSI JOURNAL
(2023)
Article
Computer Science, Hardware & Architecture
Jing Luo et al.
Summary: This article mainly focuses on the transmission synchronization of multiple memristor chaotic circuits using a single input controller strategy. The definition of synchronization for the transmission synchronization model is established, and the sufficient conditions for system stability are obtained based on the stability of a minimum phase system, ensuring that the system error curves of multiple memristor chaotic circuits can maintain asymptotic synchronization. Furthermore, the results of synchronization circuit experiment demonstrate the effectiveness of the designed controller for the synchronization of multiple memristor chaotic circuits. Finally, the results of a secure communication experiment based on transmission synchronization show the feasibility of the proposed scheme.
INTEGRATION-THE VLSI JOURNAL
(2023)
Article
Engineering, Mechanical
S. Dinesh Vijay et al.
Summary: This paper investigates the occurrence of superextreme spiking (SES) oscillations and multistability behavior in a memristor-based Hindmarsh-Rose neuron model. The study finds that the presence of SES oscillations is due to an interior crisis. Numerical simulations and statistical tools are used to characterize the SES oscillations and bounded chaotic spiking oscillations, while bifurcation analysis and Lyapunov exponents are employed to confirm the multistability behavior.
NONLINEAR DYNAMICS
(2023)
Article
Chemistry, Physical
Youngboo Cho et al.
Summary: In this study, an ITO/WOX/TaN memristor device was fabricated by reactive sputtering to investigate resistive switching and conduct analog resistive switching for artificial synaptic devices. The device exhibited excellent pulse endurance (10(4) cycles), a high on/off ratio (>10), and long retention (>10(4) s) at room temperature. The conduction mechanism was explained by Schottky emission conduction. Furthermore, additional pulse-signal-based experiments were conducted to study the resistive switching characteristics for practical operations. Lastly, the potentiation/depression characteristics were examined for 10 cycles. The results suggest that WOX-based devices are suitable candidates for synaptic devices and next-generation nonvolatile memory.
Article
Engineering, Electrical & Electronic
Weiwei Fan et al.
Summary: This paper investigates the dynamics of a 3D Morris-Lecar neuron model with a memristive autapse and finds that the memristive autapse can change the firing period and dynamics of the neuron. It is also discovered that increasing the autapse time delay expands the chaotic regions and leads to the emergence of multistability. Additionally, the study explores the synchronization of coupled memristive autaptic neurons and shows that considering the memristive autapse enhances the synchronization of chaotic neurons, with higher autapse gain reducing the required coupling strength for synchronization.
AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS
(2023)
Article
Mathematics, Interdisciplinary Applications
Shoukui Ding et al.
Summary: This paper proposes a new neural network model based on memristors to simulate the electromagnetic induction effect between neurons. The theoretical analysis and numerical simulations investigate the multistability and various dynamic behaviors of the model, and a simple analog circuit is designed for verification.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Interdisciplinary Applications
Quan Xu et al.
Summary: This study proposes a memristive Hodgkin-Huxley circuit based on second-order and first-order local active memristors (LAMs) to simulate the complex nonlinearities of sodium and potassium ion channels, thus generating abundant spiking firing patterns. Numerical simulations and hardware experiments demonstrate the effectiveness of the circuit in generating periodic and chaotic spiking firing patterns.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Computer Science, Artificial Intelligence
Xiaoyang Liu et al.
Summary: This paper introduces memristor crossbar architectures for implementing various layers in deep neural networks, and analyzes the impact of the inherent characteristics of memristors and programming voltage errors on the networks. Simulation results show that deep neural networks built by memristor crossbars perform well in pattern recognition tasks.
COMPLEX & INTELLIGENT SYSTEMS
(2022)
Article
Engineering, Electrical & Electronic
Yitong Guo et al.
Summary: This study investigates the effect of incorporating a memristor into a chaotic circuit, showing that adjusting the dynamics and energy balance of the circuit by connecting the memristor in different ways can control the chaotic behavior effectively.
AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS
(2022)
Article
Neurosciences
Quan Xu et al.
Summary: This article presents a memristor-based neuron model that imitates the electromagnetic induction effects and exhibits various electrical activities. Through kinetic analysis, the electrical activities related to memristor parameters and initial conditions are explored. An analog circuit is implemented using discrete components to verify the numerically simulated electrical activities.
COGNITIVE NEURODYNAMICS
(2022)
Article
Engineering, Mechanical
Chunlai Li et al.
Summary: This paper introduces a nonvolatile locally active memristor with three stable equilibrium states for three-bit-per-cell memory device functionality. A neural network model composed of three Hopfield neurons is presented, showing that the distribution of system equilibrium points depends on the coupling weight of the memristor synapse. The bifurcation diagram reveals the coexistence phenomenon of multiple stable modes, with complex bursting oscillation emerging in the neural network when there is a step difference between the system's natural frequency and the external excitation frequency.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Multidisciplinary
Lin Xu et al.
Summary: This paper introduces a novel 4D HR model with a threshold flux-controlled memristor, which describes the electromagnetic induction effect. Compared to existing models, this model can more simply describe the dynamics of neuronal electrical activities and uncovers hidden dynamics.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Mathematics, Interdisciplinary Applications
Dawei Ding et al.
Summary: In this study, the dynamics of fractional-order memristor-coupled Hindmarsh-Rose neuron model considering synaptic crosstalk were investigated. The qualitative analysis revealed the equilibrium points and stability, showing that the number and stability of equilibrium points varied with different crosstalk strength parameters. The phase diagrams, Lyapunov exponent spectrums, and bifurcation diagrams demonstrated the global coexistence of multiple firing patterns and the local attraction basins. The two-parameter bifurcation diagram described the parameter-related firing behaviors. Spectral entropy and C0 complexity chaos diagram were used to observe the change of system complexity when two parameters changed simultaneously. The digital implementations based on ARM were conducted to verify the consistency with the numerical simulation results.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Multidisciplinary
Xu Ma et al.
Summary: In this study, the complex neuromorphological dynamics observed when a locally active memristor is applied to the Hindmarsh-Rose neuron are discussed. The results show that the rotation control can effectively influence the amplitude of neuron bursting without causing dynamics switching. The design of the rotation control matrix is found to be crucial for amplitude control.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Letter
Engineering, Electrical & Electronic
Sheng Xie et al.
Summary: This study presents an analytical model for memristive characteristics designed in standard CMOS process and an adaptive image recognition hardware neural network implemented using analog circuit, which shows great potential in the field of image recognition.
IEICE ELECTRONICS EXPRESS
(2022)
Article
Engineering, Electrical & Electronic
Zhenzhou Lu et al.
Summary: This brief introduces an artificial neuron circuit using local activity and edge of chaos theories to simulate the features of a biological neuron, with both simulation and experimental results confirming its practicality and validity of the theoretical analysis.
ELECTRONICS LETTERS
(2022)
Article
Engineering, Electrical & Electronic
Jie Zhang et al.
Summary: In this study, a self-replicating chaotic system based on memristor was obtained by introducing magnetron memristors model and sinusoidal functions into a simple third-order memristor chaotic system. The experimental results confirmed the feasibility of the constructed system and its high security performance in image encryption.
MICROELECTRONIC ENGINEERING
(2022)
Article
Optics
Chenyang Hu et al.
Summary: This article introduces a new chaotic system based on asymmetric memristors, with high complexity and various attractor shapes. A circuit was designed to verify its physical feasibility, applied to image encryption, and analyzed from a security perspective.
Article
Mathematics, Interdisciplinary Applications
Kexin Li et al.
Summary: In this study, a discrete bi-neuron model is used to examine the effects of memory resistance on neuronal coupling, synchronization behavior, and dynamical behavior. The results demonstrate the coexistence of multiple firing patterns and provide evidence for the realization of synchronous control of coupled neurons.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Multidisciplinary
Mei Guo et al.
Summary: The paper establishes the SPICE model of SBT-memristor and analyzes its characteristics, explores the operation process of binary and multi-value memory circuits, and verifies the performance of memory circuits through simulations.
Article
Mathematics, Interdisciplinary Applications
Haoyu Li et al.
Summary: This paper presents a sliding-mode-based controller for finite-time synchronization of Memristor Chaotic Systems (MCSs), and proposes a new image encryption algorithm based on the results of finite-time synchronization. The practicality, effectiveness, and superiority of the controller and encryption algorithm are verified through numerical simulation and statistical performance analysis, especially in potential applications in secure communication.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2021)
Article
Physics, Applied
Dengwei Yan et al.
Summary: A novel four-dimensional doublescroll chaotic system based on the flux-memristor model is proposed in this paper, and the dynamic characteristics of the system are studied in detail using various methods. Complex phenomena in the system are observed, and the correctness of theoretical analysis is verified through complexity analysis algorithm, circuit simulation, and hardware experiments.
MODERN PHYSICS LETTERS B
(2021)
Article
Engineering, Mechanical
Zhijun Li et al.
Summary: Local activity is considered as the origin of complexity, with locally active memristor proposed in this study exhibiting multiple firing patterns under different initial conditions. The study also investigates phase synchronization of synapse-coupled neurons. Circuit simulations are included to confirm the effectiveness of numerical simulations.
NONLINEAR DYNAMICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Meiyuan Gu et al.
Summary: This paper presents a novel current-controlled locally-active memristor model to reveal the switching and oscillating characteristics of locally-active devices. Through the DC I-V plot, it is shown that the locally-active characteristic of the memristor can be measured, and different dynamics such as periodic oscillation and stable equilibrium point can be exhibited based on different current biases or different initial conditions. The oscillation mechanism of the memristor-based oscillator is analyzed via dynamic route map (DRM), showing that the memristor is an essential device for generating periodic and chaotic oscillations, and its local activity is the cause for complex oscillations.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2021)
Article
Engineering, Electrical & Electronic
Xiufang Zhang et al.
AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS
(2020)
Article
Mathematics, Applied
Yujiao Dong et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2020)
Article
Nanoscience & Nanotechnology
Lei Liu et al.
ADVANCED ELECTRONIC MATERIALS
(2020)
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Hairong Lin et al.
NONLINEAR DYNAMICS
(2020)
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C. W. Ian Wong et al.
SEMICONDUCTOR SCIENCE AND TECHNOLOGY
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AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS
(2020)
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Mathematics, Interdisciplinary Applications
Quan Xu et al.
CHAOS SOLITONS & FRACTALS
(2020)
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Physics, Multidisciplinary
Yang Yong-Xia et al.
ACTA PHYSICA SINICA
(2020)
Article
Mathematics, Interdisciplinary Applications
Bocheng Bao et al.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2019)
Article
Engineering, Electrical & Electronic
Maheshwar Pd Sah et al.
IEEE CIRCUITS AND SYSTEMS MAGAZINE
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Engineering, Electrical & Electronic
Leon Chua
SEMICONDUCTOR SCIENCE AND TECHNOLOGY
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Materials Science, Multidisciplinary
Leon Chua
APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING
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Multidisciplinary Sciences
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