Electromagnetic induction effects on electrical activity within a memristive Wilson neuron model

Xu, Quan; Ju, Zhutao; Ding, Shoukui; Feng, Chengtao; Chen, Mo; Bao, Bocheng

doi:10.1007/s11571-021-09764-0

Cited by 81 publications

(30 citation statements)

References 46 publications

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“…PSIM (power simulation) circuit simulation is a common method to verify numerical analyses [40][41][42]. The implementation circuit of the reconstructed System (15) is presented in Figure 9.…”

Section: Circuit Simulation For the Reconstructed Systemmentioning

confidence: 99%

Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator

et al. 2022

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Extreme multistability has frequently been reported in autonomous circuits involving memory-circuit elements, since these circuits possess line/plane equilibrium sets. However, this special phenomenon has rarely been discovered in non-autonomous circuits. Luckily, extreme multistability is found in a simple non-autonomous memcapacitive oscillator in this paper. The oscillator only contains a memcapacitor, a linear resistor, a linear inductor, and a sinusoidal voltage source, which are connected in series. The memcapacitive system model is firstly built for further study. The equilibrium points of the memcapacitive system evolve between a no equilibrium point and a line equilibrium set with the change in time. This gives rise to the emergence of extreme multistability, but the forming mechanism is not clear. Thus, the incremental integral method is employed to reconstruct the memcapacitive system. In the newly reconstructed system, the number and stability of the equilibrium points have complex time-varying characteristics due to the presence of fold bifurcation. Furthermore, the forming mechanism of the extreme multistability is further explained. Note that the initial conditions of the original memcapacitive system are mapped onto the controlling parameters of the newly reconstructed system. This makes it possible to achieve precise control of the extreme multistability. Furthermore, an analog circuit is designed for the reconstructed system, and then PSIM circuit simulations are performed to verify the numerical results.

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Section: Circuit Simulation For the Reconstructed Systemmentioning

confidence: 99%

Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator

et al. 2022

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“…It is obvious that the equilibrium point S 0 has two zero roots and three nonzero roots, similar to that reported in [36]. For the nonzero roots, the corresponding cubic characteristic equation can be derived from the Jacobian matrix of system (6) at S 0 as:…”

Section: Stability Distribution For Plane Equilibrium Pointmentioning

confidence: 54%

“…In fact, the memristor-based dynamical system has a total bifurcation route to chaos with the evolution of the initial conditions [19] and can display the coexistence of various types of attractors [27]. However, most of the recently published literature only focuses on the extreme multi-stability related to the initial conditions of memristors [35][36][37][38], and little on the extreme multi-stability related to the initial conditions of non-memristors. In this paper, we present a new 5-D TMJ system and emphatically study complex dynamical effects induced by the initial conditions of memristors and non-memristors therein.…”

Section: Introductionmentioning

confidence: 99%

Initial-Condition Effects on a Two-Memristor-Based Jerk System

et al. 2022

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Memristor-based systems can exhibit the phenomenon of extreme multi-stability, which results in the coexistence of infinitely many attractors. However, most of the recently published literature focuses on the extreme multi-stability related to memristor initial conditions rather than non-memristor initial conditions. In this paper, we present a new five-dimensional (5-D) two-memristor-based jerk (TMJ) system and study complex dynamical effects induced by memristor and non-memristor initial conditions therein. Using multiple numerical methods, coupling-coefficient-reliant dynamical behaviors under different memristor initial conditions are disclosed, and the dynamical effects of the memristor initial conditions under different non-memristor initial conditions are revealed. The numerical results show that the dynamical behaviors of the 5-D TMJ system are not only dependent on the coupling coefficients, but also dependent on the memristor and non-memristor initial conditions. In addition, with the analog and digital implementations of the 5-D TMJ system, PSIM circuit simulations and microcontroller-based hardware experiments validate the numerical results.

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“…What is important is the memory characteristics of the memristor, which can effectively simulate the synapses of neurons. Moreover, the low power consumption and nanometer size enable the memristor to achieve high-density distribution of the human brain, which can be used to construct neural networks based on the memristor [ 41 , 42 ]. Memristive neural network (MNN) not only inherits the advantages of low power consumption and nano-size of memristor, but also contributes to the improvement of neural network performance [ 43 , 44 ].…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis and application in medical digital image watermarking of a new multi-scroll neural network with quartic nonlinear memristor

Chen

Kong

et al. 2022

Eur. Phys. J. Plus

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Memristor is widely used in various neural bionic models because of its excellent characteristics in biological neural activity simulation. In this paper, a piecewise nonlinear function is used to transform the quartic memristor, which is introduced into the ternary Hopfield neural network (HNN) with self-feedback, and a piecewise quartic memristive chaotic neural network model with multi-scroll is constructed. Through simulation analysis, the number of scroll layers changes with memristor parameters and has significant coexistence of multi-scroll attractors and high initial value sensitivity has been found. Using its excellent unpredictability, a digital watermarking algorithm based on wavelet transform is improved and used in the protection of personal medical data. The results show that it not only improves the confidentiality and convenience, but also ensures its robustness and has good encryption effect.

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Electromagnetic induction effects on electrical activity within a memristive Wilson neuron model

Cited by 81 publications

References 46 publications

Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator

Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator

Initial-Condition Effects on a Two-Memristor-Based Jerk System

Dynamic analysis and application in medical digital image watermarking of a new multi-scroll neural network with quartic nonlinear memristor

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