Memristor synapse-coupled piecewise-linear simplified Hopfield neural network: Dynamics analysis and circuit implementation

Ding, Shoukui; Wang, Ning; Bao, Han; Chen, Bei; Wu, Huagan; Xu, Quan

doi:10.1016/j.chaos.2022.112899

Cited by 85 publications

(24 citation statements)

References 66 publications

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“…Combined with proper additional circuitry, these are good candidates for the generation of robust chaos. Moreover, mem-elements can be included in standard analog computers and broaden their application potential, as suggested in [ 47 ].…”

Section: Brief Overview Of the Systematic Design Of Lumped Chaotic Os...mentioning

confidence: 99%

Hybrid Analog Computer for Modeling Nonlinear Dynamical Systems: The Complete Cookbook

Rujzl

Polák

Petržela

2023

Sensors

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This paper describes a design process for a universal development kit based on an analog computer concept that can model the dynamics of an arbitrarily complex dynamical system up to the fourth order. The constructed development kit contains digital blocks and associated analog-to-digital and digital-to-analog converters (ADCs and DAC), such that multiple-segmented piecewise-linear input–output characteristics can be used for the synthesis of the prescribed mathematical model. Polynomial input–output curves can be implemented easily by four-quadrant analog multipliers. The proposed kit was verified through several experimental scenarios, starting with simple sinusoidal oscillators and ending with generators of continuous-time robust chaotic attractors. The description of each individual part of the development kit is accompanied by links to technical documentation, allowing skilled readers in the construction of electronic systems to replicate the proposed functional example. For this purpose, the electrical scheme of the hybrid analog computer and all important source codes are available online.

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Section: Brief Overview Of the Systematic Design Of Lumped Chaotic Os...mentioning

confidence: 99%

Hybrid Analog Computer for Modeling Nonlinear Dynamical Systems: The Complete Cookbook

Rujzl

Polák

Petržela

2023

Sensors

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“…The analog circuit design of neuron models is crucial for investigating the neuron dynamics and exploring neuron-based engineering applications [45,46]. The 3D mHR neuron model can be easily designed by utilizing passive circuit components of a capacitor and resistor and the integrated chips of operational amplifier, multiplier, and trigonometric circuit modules.…”

Section: Analog Design and Psim-based Circuit Simulationmentioning

confidence: 99%

Hidden firing patterns and memristor initial condition-offset boosting behavior in a memristive Hindmarsh-Rose neuron model

et al. 2023

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Electromagnetic induction can effectively induce abundant firing patterns in neurons. In modeling a neuron model with the electromagnetic induction effect, an electromagnetic induction current is frequently added to the state equation of membrane potential. To more properly reflect the non-uniform distribution of the ions inside and outside the neuron membrane, an ideal flux-controlled memristor with sinusoidal memductance function and non-linearly modulated input is raised to depict an electromagnetic induction effect on a Hindmarsh–Rose neuron model, and thereby, a three-dimensional (3D) memristive Hindmarsh–Rose (mHR) neuron model is built in this paper. The proposed mHR neuron model possesses no equilibrium point since the involvement of the ideal flux-controlled memristor, which induces the generation of hidden dynamics. Numerical results declare that the mHR neuron model can generate abundant hidden dynamics, i.e., periodic spiking, chaotic spiking, period-doubling bifurcation route, tangent bifurcation, and chaos crisis. These hidden dynamics are much related to the memristor coupling strength and externally applied stimulus. Afterward, the memristor initial condition-offset boosting behavior is revealed. This can trigger the generation of infinite multiple coexisting firing patterns along the memristor variable coordinate. These coexisting firing patterns have identical attractor topology but different locations in the phase plane. Finally, an analog circuit is designed for implementing the mHR neuron model, and PSIM-based circuit simulation is executed. The circuit-simulated results perfectly verify the generation of hidden infinite multiple coexisting initial condition-offset boosting firing patterns in the proposed mHR neuron model.

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“…This scalability property of RRAM is one of the many reasons it has been widely studied for high-density cross-point arrays [ 16 ] and three-dimensional vertical RRAM (3D VRRAM) [ 17 ]. In addition, RRAM devices can be used as artificial synaptic devices for neuromorphic computing because of the advantages described above [ 18 , 19 , 20 , 21 ]. Neuromorphic systems are emerging as alternatives to the Von Neumann structure, which is the existing computing method, because it has reached its limit due to bottlenecks [ 22 ].…”

Section: Introductionmentioning

confidence: 99%

Analog Resistive Switching and Artificial Synaptic Behavior of ITO/WOX/TaN Memristors

et al. 2023

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In this work, we fabricated an ITO/WOX/TaN memristor device by reactive sputtering to investigate resistive switching and conduct analog resistive switching to implement artificial synaptic devices. The device showed good pulse endurance (104 cycles), a high on/off ratio (>10), and long retention (>104 s) at room temperature. The conduction mechanism could be explained by Schottky emission conduction. Further, the resistive switching characteristics were performed by additional pulse-signal-based experiments for more practical operation. Lastly, the potentiation/depression characteristics were examined for 10 cycles. The results thus indicate that the WOX-based devices are appropriate candidates for synaptic devices as well as next-generation nonvolatile memory.

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Memristor synapse-coupled piecewise-linear simplified Hopfield neural network: Dynamics analysis and circuit implementation

Cited by 85 publications

References 66 publications

Hybrid Analog Computer for Modeling Nonlinear Dynamical Systems: The Complete Cookbook

Hybrid Analog Computer for Modeling Nonlinear Dynamical Systems: The Complete Cookbook

Hidden firing patterns and memristor initial condition-offset boosting behavior in a memristive Hindmarsh-Rose neuron model

Analog Resistive Switching and Artificial Synaptic Behavior of ITO/WOX/TaN Memristors

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