A Time-Efficient CMOS-Memristive Programmable Circuit Realizing Logic Functions in Generalized AND–XOR Structures

Aljafar, Muayad J.; Perkowski, Marek; Acken, John M.; Tan, Robin

doi:10.1109/tvlsi.2017.2750074

Cited by 13 publications

(6 citation statements)

References 37 publications

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“…As a new type of nonlinear components, memristors have widely used in artificial neural networks [1][2][3], logic operations [4], chaotic oscillator circuit design [5][6][7][8][9] and other fields. Compared with typical chaotic circuits, the chaotic signal generated by the memristive chaotic system has better dynamic behavior [10,11].…”

Section: Introductionmentioning

confidence: 99%

Design and analysis of a three-dimensional discrete memristive chaotic map with infinitely wide parameter range

Huang¹,

Liu²,

Xiang³

et al. 2022

Phys. Scr.

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In this paper, a new discrete memristive chaotic map with infinitely wide parameter range is designed. Firstly, a discrete memristor based on a triangular wave function is constructed. The memristor conforms to the definition of generalized memristor, and a new three-dimensional memristive chaotic map is designed based on it. Numerical simulations show that the map has complex dynamic behavior. An improved perturbation method is proposed to estimate the output sequence of the chaotic system. At the same time, it is proved mathematically that the new map can always be in chaotic or hyperchaotic state with infinitely wide parameter range under certain conditions. By observing the Lyapunov exponent spectrum and the phase diagram, it is found as the absolute value of the parameter increases, the output range and ergodicity of the new map are also enhanced. We demonstrate that the new map has an initial-boosting behavior that depends on the initial conditions of the memristor. By changing the initial values of the memristor, we can control the appearance of attractor at different locations without loss. At the same time, this paper analyzes the mechanism of the discrete memristive chaotic map generating initial-boosting behavior, puts forward a method to make ordinary chaotic maps easier to obtain this behavior. Finally, the DSP hardware platform is used to implement the new map, which proves the physical existence and realizability of the map.

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Section: Introductionmentioning

confidence: 99%

Design and analysis of a three-dimensional discrete memristive chaotic map with infinitely wide parameter range

Huang¹,

Liu²,

Xiang³

et al. 2022

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…As a new type of nonlinear components, memristors have widely used in artificial neural networks [1,2], logic operations [3], non-volatile memory [4], chaotic oscillator circuit design [5,6,7,8] and other fields. Compared with typical chaotic circuits, the chaotic signal generated by the memristive chaotic system has better dynamic behavior, and it is easier to design chaotic circuits with super multi-stability properties [9,10].…”

Section: Introductionmentioning

confidence: 99%

“…From relation (II) and inequality (3)(4)(5)(6)(7)(8)(9)(10)(11)(12), it can be seen that S 1 + S 2 and S 2 have the same positivity and negativity, and S 1 +mS 2 and S 2 also have the same positivity and negativity. The deduction can be obtained,…”

mentioning

confidence: 99%

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Design and Analysis of a Three-Dimensional Discrete Memristive Chaotic System with Infinite Wide Parameter Range

Huang

Liu

Xiang

et al. 2021

Preprint

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In this paper, a new discrete memristive chaotic system with infinitely wide parameter range is designed. Firstly, a discrete memristor based on a triangular wave function is constructed. The memristor conforms to the definition of generalized memristor, and a new three-dimensional memristive chaotic system is designed based on it. Numerical simulations show that it can generate chaotic sequences with high complexity.Otherwise, an improved perturbation method is proposed to estimate the output sequence of the differential system. At the same time, it is proved mathematically that the new system can always be in chaotic or hyperchaotic state with infinitely wide parameter range under certain conditions. By observing the Lyapunov exponent spectrum and the phase diagram, it is found as the absolute value of the parameter increases, the output range and ergodicity of the new system are also enhanced, and the new system has super multi-stability. This paper analyzes the mechanism of the discrete memristive chaotic system generating infinitely coexisting attractors, puts forward a method to make ordinary chaotic systems easier to obtain super multi-stability, and verifies it. The results show it is effective. Finally, the DSP hardware platform is used to implement the new system, which proves the physical existence and realizability of the system.

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“…According to the TL084 datasheet, the upper and lower output saturation voltages of U5 are 13.5V and 1.5V, respectively. According to(8) and(9), the maximal memristance value R off of MR is 2.22k , and the lower boundary memristance value R on is 246.91 . In order to verify the filtering performance of the chosen filter A, the simulation verification is performed in Pspice software and then imported into the Origin software for curve plotting, as shown inFig.…”

mentioning

confidence: 99%

A Family of Binary Memristor-Based Low-Pass Filters With Controllable Cut-Off Frequency

Zhang

et al. 2020

IEEE Access

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The nanoscale size and controllable memristance of Memristor (MR) have shown evident superiorities for structuring new integrated circuits with different functions. With regards to the reported MR based filters, their cutoff frequencies could be hardly hot-line controlled on purposes. In this paper, by using the boundary values of memristance, a method for hot-line adjusting cutoff frequencies is newly proposed by inputting a preset DC voltage together with the to-be-filtered signal, without the requirement of extra memristance write circuits, which is hence beneficial for integrated implementation. The floating MR emulator is firstly presented and the saturation operation of its memristance is interpreted. A family of MR based low-pass filters with controllable cutoff frequency are proposed by combining the connection nodes of a memristive circuit network Z with the op amp. Two circuits of the low-pass filter family are chosen for demonstration, and the cutoff frequency and passband gain are calculated. Square and sinusoidal voltage signals are used to test the performance of the proposed low-pass filter family. Both the simulation and experimental results show that the proposed filters can achieve cutoff frequency adjustment with good filtering performance.

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A Time-Efficient CMOS-Memristive Programmable Circuit Realizing Logic Functions in Generalized AND–XOR Structures

Cited by 13 publications

References 37 publications

Design and analysis of a three-dimensional discrete memristive chaotic map with infinitely wide parameter range

Design and analysis of a three-dimensional discrete memristive chaotic map with infinitely wide parameter range

Design and Analysis of a Three-Dimensional Discrete Memristive Chaotic System with Infinite Wide Parameter Range

A Family of Binary Memristor-Based Low-Pass Filters With Controllable Cut-Off Frequency

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