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1

Al-Taani, Hussein, Ma’mon Abu Hammad, Mohammad Abudayah, Louiza Diabi, and Adel Ouannas. "On Fractional Discrete Memristive Model with Incommensurate Orders: Symmetry, Asymmetry, Hidden Chaos and Control Approaches." Symmetry 17, no. 1 (2025): 143. https://doi.org/10.3390/sym17010143.

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Memristives provide a high degree of non-linearity to the model. This property has led to many studies focusing on developing memristive models to provide more non-linearity. This article studies a novel fractional discrete memristive system with incommensurate orders using ϑi-th Caputo-like operator. Bifurcation, phase portraits and the computation of the maximum Lyapunov Exponent (LEmax) are used to demonstrate their impact on the system’s dynamics. Furthermore, we employ the sample entropy approach (SampEn), C0 complexity and the 0-1 test to quantify complexity and validate chaos in the inc
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Sun, Junwei, Nan Li, Yangfeng Wang, Shouhao Xu, and Jilei Geng. "Simplest memristive system." Optik 156 (March 2018): 1–7. http://dx.doi.org/10.1016/j.ijleo.2017.09.011.

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3

Merrikh-Bayat, Farnood, and Saeed Bagheri Shouraki. "Memristive Neuro-Fuzzy System." IEEE Transactions on Cybernetics 43, no. 1 (2013): 269–85. http://dx.doi.org/10.1109/tsmcb.2012.2205676.

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Zhang, Yin, Guodong Ren, Aatef Hobiny, Bashir Ahmad, and Jun Ma. "Mode transition in a memristive dynamical system and its application in image encryption." International Journal of Modern Physics B 34, no. 27 (2020): 2050244. http://dx.doi.org/10.1142/s0217979220502446.

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Chaotic systems can be used for secure communication and image encryption by applying a variety of encryption algorithms. While most of the low-dimensional chaotic systems and maps can be estimated by using phase reconstruction and thus the safety in signal processing and propagation is attacked. In this paper, an initial-dependent dynamical system, which is developed from the Rössler system by adding memristive function and disturbance function on the memristive variable [Formula: see text], is presented for realizing image encryption and bifurcation analysis is supplied in detail. Time-varyi
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5

Wang, S.-F. "A memristive system: dynamics, synchronization, parameter modulation and demodulation." Physica Scripta 99, no. 1 (2023): 015222. http://dx.doi.org/10.1088/1402-4896/ad1233.

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Abstract The subject of this article is to study a memristive system and modulation and demodulate the information signal in security system, a novel memristive system is presented and its dynamics are considered. Then, the adaptive synchronization control between the proposed memristive systems is demonstrated. Additionally, the original signal is modulated in a system parameter and it can be demodulated by using filter technology. Compared to previous secure systems, in this scheme, the demodulated signal can be adjusted by the adaptive filter, It has better security performance and is easy
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Feng, Xiaoyu, Tianai Lu, and Lu Zhou. "A 4D memristive chaotic system with multiple amplitude and offset controllers." Physica Scripta 100, no. 6 (2025): 065237. https://doi.org/10.1088/1402-4896/add844.

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Abstract This paper constructs a novel 4D memristive chaotic system based on the classical Lorenz-like system. The study reveals that, despite the system’s asymmetric nature, it can exhibit coexisting attractor basins with quasi-symmetric structures under specific parameter configurations. Further analysis shows that the system possesses two independent amplitude control parameters, one can simultaneously regulate the scaling of three state variables, while the other can regulate the amplitude of the memristor variable. Notably, offset control of the memristive variable can also be achieved, a
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7

Yang, J. Joshua, and R. Stanley Williams. "Memristive devices in computing system." ACM Journal on Emerging Technologies in Computing Systems 9, no. 2 (2013): 1–20. http://dx.doi.org/10.1145/2463585.2463587.

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8

Driscoll, T., H. T. Kim, B. G. Chae, M. Di Ventra, and D. N. Basov. "Phase-transition driven memristive system." Applied Physics Letters 95, no. 4 (2009): 043503. http://dx.doi.org/10.1063/1.3187531.

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9

Liu, Ping, Rui Xi, Pengbo Ren, Jialin Hou, and Xiang Li. "Analysis and Implementation of a New Switching Memristor Scroll Hyperchaotic System and Application in Secure Communication." Complexity 2018 (July 2, 2018): 1–15. http://dx.doi.org/10.1155/2018/3497640.

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This paper proposed a novel switching scroll hyperchaotic system based on a memristor device and explored its application to secure communication. The new system could be switched between the double-scroll chaotic system and multiscroll one by switch S1 and switch S2. We gave the construction process of the novel system, its numerical simulations, and dynamical properties, firstly. Moreover, the memristive circuit implementation of the new switching system was presented and the results were also in agreement with those of numerical simulation. Finally, the new switching memristive system was a
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10

Ji, Xiaoyue, Zhekang Dong, Guangdong Zhou, Chun Sing Lai, Yunfeng Yan, and Donglian Qi. "Memristive System Based Image Processing Technology: A Review and Perspective." Electronics 10, no. 24 (2021): 3176. http://dx.doi.org/10.3390/electronics10243176.

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As the acquisition, transmission, storage and conversion of images become more efficient, image data are increasing explosively. At the same time, the limitations of conventional computational processing systems based on the Von Neumann architecture continue to emerge, and thus, improving the efficiency of image processing has become a key issue that has bothered scholars working on images for a long time. Memristors with non-volatile, synapse-like, as well as integrated storage-and-computation properties can be used to build intelligent processing systems that are closer to the structure and
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11

Gautam, Mohit Kumar, Sanjay Kumar, and Shaibal Mukherjee. "Y2O3-based memristive crossbar array for synaptic learning." Journal of Physics D: Applied Physics 55, no. 20 (2022): 205103. http://dx.doi.org/10.1088/1361-6463/ac485b.

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Abstract Here, we report the fabrication of an Y2O3-based memristive crossbar array along with an analytical model to evaluate the performance of the memristive array system to understand the forgetting and retention behavior in the neuromorphic computation. The developed analytical model is able to simulate the highly dense memristive crossbar array-based neural network of biological synapses. These biological synapses control the communication efficiency between neurons and can implement the learning capability of the neurons. During electrical stimulation of the memristive devices, the memo
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12

Gerasimova, Svetlana A., Alexey I. Belov, Dmitry S. Korolev, et al. "Stochastic Memristive Interface for Neural Signal Processing." Sensors 21, no. 16 (2021): 5587. http://dx.doi.org/10.3390/s21165587.

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We propose a memristive interface consisting of two FitzHugh–Nagumo electronic neurons connected via a metal–oxide (Au/Zr/ZrO2(Y)/TiN/Ti) memristive synaptic device. We create a hardware–software complex based on a commercial data acquisition system, which records a signal generated by a presynaptic electronic neuron and transmits it to a postsynaptic neuron through the memristive device. We demonstrate, numerically and experimentally, complex dynamics, including chaos and different types of neural synchronization. The main advantages of our system over similar devices are its simplicity and r
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13

Yu, Fei, Li Liu, Shuai Qian, et al. "Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors." Complexity 2020 (March 30, 2020): 1–19. http://dx.doi.org/10.1155/2020/8034196.

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Novel memristive hyperchaotic system designs and their engineering applications have received considerable critical attention. In this paper, a novel multistable 5D memristive hyperchaotic system and its application are introduced. The interesting aspect of this chaotic system is that it has different types of coexisting attractors, chaos, hyperchaos, periods, and limit cycles. First, a novel 5D memristive hyperchaotic system is proposed by introducing a flux-controlled memristor with quadratic nonlinearity into an existing 4D four-wing chaotic system as a feedback term. Then, the phase portra
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14

Peng, Guangya, Fuhong Min, and Enrong Wang. "Circuit Implementation, Synchronization of Multistability, and Image Encryption of a Four-Wing Memristive Chaotic System." Journal of Electrical and Computer Engineering 2018 (2018): 1–13. http://dx.doi.org/10.1155/2018/8649294.

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The four-wing memristive chaotic system used in synchronization is applied to secure communication which can increase the difficulty of deciphering effectively and enhance the security of information. In this paper, a novel four-wing memristive chaotic system with an active cubic flux-controlled memristor is proposed based on a Lorenz-like circuit. Dynamical behaviors of the memristive system are illustrated in terms of Lyapunov exponents, bifurcation diagrams, coexistence Poincaré maps, coexistence phase diagrams, and attraction basins. Besides, the modular equivalent circuit of four-wing mem
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15

Zhou, Ping, and Meihua Ke. "An Integer-Order Memristive System with Two- to Four-Scroll Chaotic Attractors and Its Fractional-Order Version with a Coexisting Chaotic Attractor." Complexity 2018 (July 30, 2018): 1–7. http://dx.doi.org/10.1155/2018/4970152.

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First, based on a linear passive capacitor C, a linear passive inductor L, an active-charge-controlled memristor, and a fourth-degree polynomial function determined by charge, an integer-order memristive system is suggested. The proposed integer-order memristive system can generate two-scroll, three-scroll, and four-scroll chaotic attractors. The complex dynamics behaviors are investigated numerically. The Lyapunov exponent spectrum with respect to linear passive inductor L and the two-scroll, three-scroll, and four-scroll chaotic attractors are yielded by numerical calculation. Second, based
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16

Erika, Covi, George R., Frascaroli Jacopo, et al. "Spike-driven threshold-based learning with memristive synapses and neuromorphic silicon neurons." Journal of Physics D: Applied Physics 51 (July 30, 2018): 344003. https://doi.org/10.1088/1361-6463/aad361.

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Abstract Biologically plausible neuromorphic computing systems are attracting considerable attention due to their low latency, massively parallel information processing abilities, and their high energy efficiency. To achieve these features neuromorphic silicon neuron circuits need to be integrated with plastic synapse circuits capable of on-line learning and storage of synaptic weights. Within this context, memristive devices play a key role thanks to their nonvolatility, scalability, and compatibility with the complementary metal–oxide–semiconductor fabrication process. However, n
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17

Pham, Viet-Thanh, Christos Volos, and Lucia Valentina Gambuzza. "A Memristive Hyperchaotic System without Equilibrium." Scientific World Journal 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/368986.

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A new memristive system is presented in this paper. The peculiarity of the model is that it does not display any equilibria and exhibits periodic, chaotic, and also hyperchaotic dynamics in a particular range of the parameters space. The behavior of the proposed system is investigated through numerical simulations, such as phase portraits, Lyapunov exponents, and Poincaré sections, and circuital implementation confirmed the hyperchaotic dynamic.
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18

Cai, Weiran, Torsten Schmidt, Udo Jorges, and Frank Ellinger. "A Feedback Spin-Valve Memristive System." IEEE Transactions on Circuits and Systems I: Regular Papers 59, no. 10 (2012): 2405–12. http://dx.doi.org/10.1109/tcsi.2012.2189043.

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19

Mou, Jun, Kehui Sun, Huihai Wang, and Jingya Ruan. "Characteristic Analysis of Fractional-Order 4D Hyperchaotic Memristive Circuit." Mathematical Problems in Engineering 2017 (2017): 1–13. http://dx.doi.org/10.1155/2017/2313768.

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Dynamical behaviors of the 4D hyperchaotic memristive circuit are analyzed with the system parameter. Based on the definitions of fractional-order differential and Adomian decomposition algorithm, the numerical solution of fractional-order 4D hyperchaotic memristive circuit is investigated. The distribution of stable and unstable regions of the fractional-order 4D hyperchaotic memristive circuit is determined, and dynamical characteristics are studied by phase portraits, Lyapunov exponents spectrum, and bifurcation diagram. Complexities are calculated by employing the spectral entropy (SE) alg
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20

S. Premalatha. "LMI Approach to Dissipative of Memristive Inertial Neural Networks with Time-Varying and Distributed Delay." Advances in Nonlinear Variational Inequalities 28, no. 5s (2025): 213–26. https://doi.org/10.52783/anvi.v28.3770.

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This article explores the dissipative property of Memristive Inertial Neural Networks (MINN) enclosed with the time-varying and distributed delay terms. Filippov solution approach is adopted to the memristive system for its memristive property. Variable substitution is applied to the MINN to reduce the system order. A suitable Lyapunov function is designed with the reduced system to ensure the dissipative of MINN. To ensure the dissipative criteria of the system, Linear Matrix Inequality (LMI) technique is employed. Besides, the bound of attractive sets of MINN are inferred. In the meantime, a
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21

Wang, Chunhua, Ling Zhou, and Renping Wu. "The Design and Realization of a Hyper-Chaotic Circuit Based on a Flux-Controlled Memristor with Linear Memductance." Journal of Circuits, Systems and Computers 27, no. 03 (2017): 1850038. http://dx.doi.org/10.1142/s021812661850038x.

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In this paper, a flux-controlled memristor with linear memductance is proposed. Compared with the memristor with piecewise linear memductance and the memristor with smooth continuous nonlinearity memductance which are widely used in the study of memristive chaotic system, the proposed memristor has simple mathematical model and is easy to implement. Multisim circuit simulation and breadboard experiment are realized, and the memristor can exhibit a pinched hysteresis loop in the voltage–current plane when driven by a periodic voltage. In addition, a new hyper-chaotic system is presented in this
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22

Wang, Weiping, Manman Yuan, Xiong Luo, Linlin Liu, and Yao Zhang. "Anti-synchronization control of BAM memristive neural networks with multiple proportional delays and stochastic perturbations." Modern Physics Letters B 32, no. 03 (2018): 1850028. http://dx.doi.org/10.1142/s0217984918500288.

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Proportional delay is a class of unbounded time-varying delay. A class of bidirectional associative memory (BAM) memristive neural networks with multiple proportional delays is concerned in this paper. First, we propose the model of BAM memristive neural networks with multiple proportional delays and stochastic perturbations. Furthermore, by choosing suitable nonlinear variable transformations, the BAM memristive neural networks with multiple proportional delays can be transformed into the BAM memristive neural networks with constant delays. Based on the drive-response system concept, differen
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23

Lai, Qiang, Zhiqiang Wan, Paul Didier Kamdem Kuate, and Hilaire Fotsin. "Dynamical analysis, circuit implementation and synchronization of a new memristive hyperchaotic system with coexisting attractors." Modern Physics Letters B 35, no. 10 (2021): 2150187. http://dx.doi.org/10.1142/s0217984921501876.

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This paper constructs a novel memristive hyperchaotic system by introducing the flux-controlled memristor to an extended jerk system. The memristive system has two equilibria and coexists two symmetric hyperchaotic attractors. The dynamic behaviors of the system are studied through bifurcation analysis. The analog circuit design and microcontroller-based experimental implementation of the system are presented. The synchronization of the system is realized by using the adaptive control technique. The sufficient conditions for synchronization are established via theoretical and numerical analysi
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Yang, Jiahang, Faqiang Wang, and Xian Wang. "Modeling and Nonlinear Characteristics Analysis of Fluorescent Lamp Driven by a Full-Bridge Inverter." Energies 16, no. 18 (2023): 6622. http://dx.doi.org/10.3390/en16186622.

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Addressing the issue of system stability is a crucial step towards the successful integration of memristive devices in power electronics applications. This paper focuses on fluorescent lamps possessing memristive characteristics and investigates the instability phenomena and mechanisms within a full-bridge inverter with a fluorescent lamp load. Based on the memristive characteristics of fluorescent lamps, this paper establishes the averaged model of the system, whose coefficient matrix is nonlinear, periodic, and time-varying. This study identifies the occurrence of low-frequency oscillations
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Wan, Qiuzhen, Zhaoteng Zhou, Wenkui Ji, Chunhua Wang, and Fei Yu. "Dynamic Analysis and Circuit Realization of a Novel No-Equilibrium 5D Memristive Hyperchaotic System with Hidden Extreme Multistability." Complexity 2020 (November 6, 2020): 1–16. http://dx.doi.org/10.1155/2020/7106861.

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In this paper, a novel no-equilibrium 5D memristive hyperchaotic system is proposed, which is achieved by introducing an ideal flux-controlled memristor model and two constant terms into an improved 4D self-excited hyperchaotic system. The system parameters-dependent and memristor initial conditions-dependent dynamical characteristics of the proposed memristive hyperchaotic system are investigated in terms of phase portrait, Lyapunov exponent spectrum, bifurcation diagram, Poincaré map, and time series. Then, the hidden dynamic attractors such as periodic, quasiperiodic, chaotic, and hyperchao
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Zaripova, Viktoriya Madiyarovna, Yuliya Arkad'evna Lezhnina, Irina Yurievna Petrova, and Damir Maratovich Gimatdinov. "Memristive biosensors: classification and energy-information model." Vestnik of Astrakhan State Technical University. Series: Management, computer science and informatics 2024, no. 1 (2024): 64–72. http://dx.doi.org/10.24143/2072-9502-2024-1-64-72.

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The potential of memristive biosensors as an effective and dynamic link between engineering and biology, providing direct and functional communication for extracting information about biological processes in the human body, is discussed. Memristors can be part of a processing chain and, in the future, combine signal conversion with subsequent processing, acting as intelligent sensors. An energy-informational memristor model describing this nonlinear physical and technical effect and a parametric block diagram for describing such nonlinearity are proposed. To obtain a model of the nonlinear phy
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Yu, Fei, Shuai Qian, Xi Chen, et al. "A New 4D Four-Wing Memristive Hyperchaotic System: Dynamical Analysis, Electronic Circuit Design, Shape Synchronization and Secure Communication." International Journal of Bifurcation and Chaos 30, no. 10 (2020): 2050147. http://dx.doi.org/10.1142/s0218127420501473.

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In this paper, a simple four-wing chaotic attractor is first proposed by replacing the constant parameters of the Chen system with a periodic piecewise function. Then, a new 4D four-wing memristive hyperchaotic system is presented by adding a flux-controlled memristor with linear memductance into the proposed four-wing Chen system. The memristor mathematical structure model is simple and easy to implement. Dynamical analysis and numerical simulation of the memristive hyperchaotic system are carried out. Then, the electronic circuit of the hyperchaotic system is designed and implemented. The re
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28

Wang, Bo, and L. L. Chen. "New Results on Fuzzy Synchronization for a Kind of Disturbed Memristive Chaotic System." Complexity 2018 (November 1, 2018): 1–9. http://dx.doi.org/10.1155/2018/3079108.

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This paper concerns the problem on the fuzzy synchronization for a kind of disturbed memristive chaotic system. First, based on fuzzy theory, the fuzzy model for a memristive chaotic system is presented; next, based on H-infinity technique, a multidimensional fuzzy controller and a single-dimensional fuzzy controller are designed to realize the synchronization of master-slave chaotic systems with disturbances. Finally, some typical examples are included to illuminate the correctness of the given control method.
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Ouyang, Xue, Yuling Luo, Junxiu Liu, Lvchen Cao, and Yunqi Liu. "A color image encryption method based on memristive hyperchaotic system and DNA encryption." International Journal of Modern Physics B 34, no. 04 (2020): 2050014. http://dx.doi.org/10.1142/s0217979220500149.

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In this paper, a color image encryption method using the memristive hyperchaotic system and deoxyribonucleic acid (DNA) encryption is proposed. First, the pseudo-random sequences are generated by a keystream generation mechanism based on a memristive hyperchaotic system and the plain image. Due to this, the memristive hyperchaotic system has a complex dynamical behavior and is highly sensitive to initial conditions, the proposed keystream generation mechanism is highly random which is also dependent on the plain images. Second, a permutation based on the cycle-shift operation is designed to el
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Zang, Hongyan, Lili Huang, Tengfei Lei, and Yanling Wang. "Conditional Symmetry of a Memristive System with Amplitude and Frequency Modulation Control." Mathematical Problems in Engineering 2021 (July 16, 2021): 1–11. http://dx.doi.org/10.1155/2021/4924323.

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In this study, we studied the effects of offset boosting on the memristive chaotic system. A system with symmetry and conditional symmetry was constructed, by adding the absolute value function to an offset boosting system. It is proved that the symmetric system or a conditionally symmetric system can be constructed with similar or the same dynamic characteristics by using certain correction and offset boosting in an asymmetric system. In addition to multiple stability, the memristive system can also realize the amplitude and frequency control by introducing a parameter. The simulation circuit
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Mikhaylov, A. N. "Neuroelectronics as neuromorphic and neurohybryd systems enabled by memristive technology." Genes & Cells 18, no. 4 (2023): 825–26. http://dx.doi.org/10.17816/gc623426.

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Due to its distinctive capability to replicate vital functions of synapses and neurons, memristive devices and arrays enable both the hardware implementation of neural networks and a significant advancement towards integrating artificial electronic and biological systems to address pressing issues in artificial intelligence (AI), robotics, and medicine. This research area is still nascent and can be viewed as part of the broader field of neuroelectronics. The aforementioned is a fusion of analog and digital solutions used for diverse computational tasks inspired by biology. Notably, analog neu
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32

Wang, Zhen, Abdul Jalil M. Khalaf, Sajad Jafari, Shirin Panahi, Chunbiao Li, and Iqtadar Hussain. "A New Memristive Chaotic System with a Plane and Two Lines of Equilibria." International Journal of Bifurcation and Chaos 31, no. 05 (2021): 2150066. http://dx.doi.org/10.1142/s0218127421500668.

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A new 4D memristive chaotic system with an infinite number of equilibria is proposed via exhaustive computer search. Interestingly, such a new memristive system has a plane of equilibria and two other lines of equilibria. Lyapunov exponent and bifurcation analysis show that this system has chaotic solutions with coexisting attractors. The basins of attraction of the coexisting attractors show chaos, stable fixed-points, and unbounded solutions. Furthermore, the 2D parameter space of the system is explored to find the optimum values of the parameters using the ALO (Ant Lion Optimizer) optimizat
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Haliuk, Serhii, Oleh Krulikovskyi, Dmytro Vovchuk, and Fernando Corinto. "Memristive Structure-Based Chaotic System for PRNG." Symmetry 14, no. 1 (2022): 68. http://dx.doi.org/10.3390/sym14010068.

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This paper suggests an approach to generate pseudo-random sequences based on the discrete-time model of the simple memristive chaotic system. We show that implementing Euler’s and Runge–Kutta’s methods for the simulation solutions gives the possibility of obtaining chaotic sequences that maintain general properties of the original chaotic system. A preliminary criterion based on the binary sequence balance estimation is proposed and applied to separate any binary representation of the chaotic time sequences into random and non-random parts. This gives us the possibility to delete obviously non
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Wang, Lidan, and Shukai Duan. "A Chaotic Attractor in Delayed Memristive System." Abstract and Applied Analysis 2012 (2012): 1–8. http://dx.doi.org/10.1155/2012/726927.

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Over the last three decades, theoretical design and circuitry implementation of various chaotic generators by simple electronic circuits have been a key subject of nonlinear science. In 2008, the successful development of memristor brings new activity for this research. Memristor is a new nanometre-scale passive circuit element, which possesses memory and nonlinear characteristics. This makes it have a unique charm to attract many researchers’ interests. In this paper, memristor, for the first time, is introduced in a delayed system to design a signal generator to produce chaotic behaviour. By
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Saha, P., D. C. Saha, A. Ray, and A. R. Chowdhury. "Memristive non-linear system and hidden attractor." European Physical Journal Special Topics 224, no. 8 (2015): 1563–74. http://dx.doi.org/10.1140/epjst/e2015-02480-1.

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Zhang, Xin, Chunbiao Li, Tengfei Lei, Haiyan Fu, and Zuohua Liu. "Offset boosting in a memristive hyperchaotic system." Physica Scripta 99, no. 1 (2023): 015247. http://dx.doi.org/10.1088/1402-4896/ad156e.

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Abstract In this article, an autonomous memristive hyperchaotic system with multi-dimensional offset boosting is constructed and analyzed. Besides this, the oscillation can be rescaled by an independent controller in the memristor. Two independent constants are obtained for offset boosting with one or two variables, which provide two modes of offset boosting, including single control and synchronous reverse control. In addition, the offset of the variables is also modified by the system bifurcation parameters or combined with amplitude control. The multistability can also be identified accordi
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37

Prousalis, Dimitrios, Christos Volos, Ioannis Stouboulos, and Ioannis Kyprianidis. "A 4-D Hyperchaotic Memristive Dynamical System." MATEC Web of Conferences 76 (2016): 02047. http://dx.doi.org/10.1051/matecconf/20167602047.

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38

Karakulak, Ertuğrul, and Reşat Mutlu. "The memristive system behavior of a diac." Journal of Computational Electronics 19, no. 3 (2020): 1344–55. http://dx.doi.org/10.1007/s10825-020-01495-5.

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39

Bao, B. C., H. Bao, N. Wang, M. Chen, and Q. Xu. "Hidden extreme multistability in memristive hyperchaotic system." Chaos, Solitons & Fractals 94 (January 2017): 102–11. http://dx.doi.org/10.1016/j.chaos.2016.11.016.

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40

Pincella, Francesca, Paolo Camorani, and Victor Erokhin. "Electrical properties of an organic memristive system." Applied Physics A 104, no. 4 (2011): 1039–46. http://dx.doi.org/10.1007/s00339-011-6399-8.

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Hu, Xikui, and Ping Zhou. "Coexisting Three-Scroll and Four-Scroll Chaotic Attractors in a Fractional-Order System by a Three-Scroll Integer-Order Memristive Chaotic System and Chaos Control." Complexity 2020 (January 8, 2020): 1–7. http://dx.doi.org/10.1155/2020/5796529.

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Based on the integer-order memristive system that can generate two-scroll, three-scroll, and four-scroll chaotic attractors, in this paper, we found other phenomena that two kinds of three-scroll chaotic attractors coexist in this system with different initial conditions. Furthermore, we proposed a coexisting fractional-order system based on the three-scroll chaotic attractors system, in which the three-scroll or four-scroll chaotic attractors emerged with different fractional-orders q. Meanwhile, with fractional-order q=0.965 and different initial conditions, coexistence of two kinds of three
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Zhang, Yunzhen, Yuan Ping, Zhili Zhang, and Guangzhe Zhao. "Recent Advances in Dimensionality Reduction Modeling and Multistability Reconstitution of Memristive Circuit." Complexity 2021 (July 9, 2021): 1–18. http://dx.doi.org/10.1155/2021/2747174.

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Due to the introduction of memristors, the memristor-based nonlinear oscillator circuits readily present the state initial-dependent multistability (or extreme multistability), i.e., coexisting multiple attractors (or coexisting infinitely many attractors). The dimensionality reduction modeling for a memristive circuit is carried out to realize accurate prediction, quantitative analysis, and physical control of its multistability, which has become one of the hottest research topics in the field of information science. Based on these considerations, this paper briefly reviews the specific multi
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43

Il'ina, M. V., O. I. Soboleva, M. R. Polyvianova, and O. I. Il'in. "Nitrogen-doped carbon nanotubes for self-powered memristive systems." Genes & Cells 18, no. 4 (2023): 810–13. http://dx.doi.org/10.17816/gc623422.

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Memristive devices are one of the promising candidates for creating neuromorphic systems due to the possibility of multilevel switching, low operating voltages and high scalability. However, as with any passive element, the memristor requires an external bias voltage to operate, which requires the inclusion of a power source in the circuit. In this regard, of great interest are works on the creation of self-powered memristive systems consisting of connecting in series a memristor and a nanogenerator that converts the energy of the external environment into electrical energy [1, 2]. Such a memr
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Chen, Mo, Yang Feng, Han Bao, Bocheng Bao, Huagan Wu, and Quan Xu. "Hybrid State Variable Incremental Integral for Reconstructing Extreme Multistability in Memristive Jerk System with Cubic Nonlinearity." Complexity 2019 (June 23, 2019): 1–16. http://dx.doi.org/10.1155/2019/8549472.

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Memristive system with infinitely many equilibrium points has attracted much attention for the generation of extreme multistability, whose initial-dependent dynamics can be interpreted in a reduced-order model through incremental integral transformation of state variables. But, the memristive system with any extra nonlinear terms besides the memristor ones cannot be handled directly using this method. In addition, the transformed state variables could be divergent due to the asymmetry of the original system. To solve these problems, a hybrid state variable incremental integral (HSVII) method i
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45

Ding, Dawei, Yecui Weng, Yongbing Hu, and Zongli Yang. "Bifurcation analysis of a fractional order time-delay Chua’s circuit based on coupled memristors." Modern Physics Letters B 33, no. 30 (2019): 1950366. http://dx.doi.org/10.1142/s0217984919503664.

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In this paper, a fractional-order (and an integer-order) chaotic system, obtained from Chua’s circuit by substituting Chua’s diode with two active coupled memristors (MRs) characterized by quadratic nonlinearity, is introduced to probe the memristive coupling effect. Two MRs connected in parallel are coupled by the flux. For the integer-order memristive system, the dynamical characteristics depending on the coupling strength coefficient between MRs without changing the circuit parameters are illustrated theoretically and numerically by using phase portraits, time domain diagram, bifurcation di
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Cabral, Vitor, Alessandro Cultrera, Shaochuan Chen, et al. "Memristive devices for metrological applications." Acta IMEKO 12, no. 3 (2023): 1–5. http://dx.doi.org/10.21014/actaimeko.v12i3.1450.

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The EMPIR project 20FUN06 MEMQuD - “Memristive devices as quantum standard for nanometrology” has as one of its fundamental goals the development of technical capability and scientific knowledge for the implementation of a quantum resistance standard based on memristive devices characterized by high scalability down to the nanometer scale, CMOS compatibility and working in air at room temperature. In this work it is presented an overview of the project, highlighted relevant characteristics and working principles of memristive devices and potential applications with focus on metrological applic
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Matsukatova, A. N., N. V. Prudnikov, V. A. Kulagin, A. D. Trofimov, and A. V. Emelyanov. "A reservoir computing system with volatile and non-volatile organic memristors as a promising hardware architecture." Genes & Cells 18, no. 4 (2023): 814–17. http://dx.doi.org/10.17816/gc623423.

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In recent years, many scientific groups have been working on hardware implementation of the artificial neural networks to approach the computational efficiency of their biological counterpart. Memristors may play the role of synapses in such networks [1]. Varieties of memristive structures and materials have already been tested in different neural network architectures, but still no memristor is considered ideal for hardware synapse implementation [1]. One of the most significant problems is the presence of inherent stochasticity distinctive for all memristive devices, which complicates the tr
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48

Lei, Tengfei, You Zhou, Haiyan Fu, Lili Huang, and Hongyan Zang. "Multistability Dynamics Analysis and Digital Circuit Implementation of Entanglement-Chaos Symmetrical Memristive System." Symmetry 14, no. 12 (2022): 2586. http://dx.doi.org/10.3390/sym14122586.

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Aiming at an entangled-chaos system with a memristor, the dynamic analysis and circuit realization are studied. Combining with the quadratic flux-controlled memristor, a memristive chaotic system is constructed, and the multistable behavior of the system when the initial value of the system changes is studied by using the system phase diagram, bifurcation diagram, and Lyapunov exponent spectrum (LE). Spectral entropy (SE), C0, and SampEn are used to describe the complexity of the memristive entanglement-chaos system. Finally, the multistable behavior of the system is realized by the digital ci
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Wei, Ruoyu, and Jinde Cao. "Synchronization Analysis of Inertial Memristive Neural Networks with Time-Varying Delays." Journal of Artificial Intelligence and Soft Computing Research 8, no. 4 (2018): 269–82. http://dx.doi.org/10.1515/jaiscr-2018-0017.

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Abstract This paper investigates the global exponential synchronization and quasi-synchronization of inertial memristive neural networks with time-varying delays. By using a variable transmission, the original second-order system can be transformed into first-order differential system. Then, two types of drive-response systems of inertial memristive neural networks are studied, one is the system with parameter mismatch, the other is the system with matched parameters. By constructing Lyapunov functional and designing feedback controllers, several sufficient conditions are derived respectively
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Ahamed, A. Ishaq, and M. Lakshmanan. "Discontinuity Induced Hopf and Neimark–Sacker Bifurcations in a Memristive Murali–Lakshmanan–Chua Circuit." International Journal of Bifurcation and Chaos 27, no. 06 (2017): 1730021. http://dx.doi.org/10.1142/s021812741730021x.

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We report using Clarke’s concept of generalized differential and a modification of Floquet theory to nonsmooth oscillations, the occurrence of discontinuity induced Hopf bifurcations and Neimark–Sacker bifurcations leading to quasiperiodic attractors in a memristive Murali–Lakshmanan–Chua (memristive MLC) circuit. The above bifurcations arise because of the fact that a memristive MLC circuit is basically a nonsmooth system by virtue of having a memristive element as its nonlinearity. The switching and modulating properties of the memristor which we have considered endow the circuit with two di
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