A tristable locally active memristor and its application in Hopfield neural network

Li, Chunlai; Yang, Yongyan; Yang, Xuanbing; Zi, Xiangyu; Xiao, Fanlong

doi:10.1007/s11071-022-07268-y

Cited by 104 publications

(29 citation statements)

References 58 publications

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“…[13][14][15][16] The prominent characteristics with chaotic systems are their sensitivity to the initial parameters, pseudo-randomness, [17] which provides a lot of inspiration and ideas for designs of IE algorithms. Chaotic systems of different forms behave differently in terms of dynamics, [18][19][20][21][22][23][24] and selecting a suitable chaotic system for IE algorithms is an important part of securing the algorithm. Among them, chaotic maps are of great interest because of their simple structure and complex properties.…”

Section: Introductionmentioning

confidence: 99%

A color image encryption algorithm based on hyperchaotic map and DNA mutation

Gao¹,

Sun²,

Cao³

et al. 2023

Chinese Phys. B

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Combining hyperchaotic map, cross-plane operation and gene theory, a color image encryption scheme is devised. First, the hyperchaotic map used in the encryption scheme is analyzed and studied. On the basis of the dynamics of hyperchaotic map, a color image encryption scheme is designed. At the end of the encryption process, a DNA mutation operation is used to increase the encoding images’ randomness and improve the encryption algorithm’s security. Finally, simulation experiments, performance analysis, and attack tests are performed to prove its effectiveness and security of the designed algorithm. The research work in this paper offers the possibility of applying chaos theory and gene theory in image encryption.

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Section: Introductionmentioning

confidence: 99%

A color image encryption algorithm based on hyperchaotic map and DNA mutation

Gao¹,

Sun²,

Cao³

et al. 2023

Chinese Phys. B

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“…With the development of neural networks [ 6 , 7 , 8 ], memristor has become one of the important ways to realize neural network circuits [ 9 , 10 ]. Due to its ability to hysterically change its resistance in response to previously applied electrical stimuli [ 11 , 12 ], the memristor has attracted considerable interest in various hypothetical applications, such as nonvolatile memories [ 13 , 14 ], logic gates [ 15 , 16 , 17 ], hybrid logic/memory circuits [ 18 , 19 , 20 ], and neuromorphic computing [ 21 , 22 , 23 , 24 , 25 ]. In addition, the unique features of this device have stimulated interest in generating nonlinear and chaotic dynamics [ 26 , 27 ].…”

Section: Introductionmentioning

confidence: 99%

RC Bridge Oscillation Memristor Chaotic Circuit for Electrical and Electronic Technology Extended Simulation Experiment

et al. 2023

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The fourth basic circuit component, the memristor, has been proposed for a long time, but it is not mentioned in the experiment teaching system of Electrical and Electronic Technology. In this paper, an RC bridge oscillation chaotic circuit based on memristor is designed to solve this problem. The dynamical behavior of the circuit system is analyzed using Lyapunov exponents spectrum, bifurcation diagram, phase portrait and Poincaré map. A series of complex dynamical behaviors such as symmetric single-scroll coexistence, asymmetrical single-scroll coexistence, symmetric double-scroll coexistence and asymmetrical limit–cycle coexistence exist in the circuit system. This research plays a critical role in enriching students’ knowledge and improving the experiment teaching system of Electrical and Electronic Technology.

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“…Compared with the simple chaotic system, the hyperchaotic system has more complex structure. Since then, the hyperchaotic system has attracted great attention of researchers and has been widely used in cryptography [26][27][28], neural network [29][30][31] and image encryption [32][33][34], and so on. For example, in recent years, it has become one of the digital image encryption methods to construct chaotic sequences based on chaotic signals generated by chaotic systems and corresponding encoding methods [35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis and circuit realization of a novel variable-wing 5D memristive hyperchaotic system with line equilibrium

Wan

Yan

et al. 2022

Eur. Phys. J. Spec. Top.

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By introducing flux-controlled memristor and linear feedback term into the three-dimensional (3D) chaotic system, and using the state feedback control method to increase dimension, a novel variablewing 5D memristive hyperchaotic system has been proposed in this paper. The proposed memristive hyperchaotic system has a line equilibrium point whose position is directly determined by the control parameter. The remarkable feature of the system is that the influence of positive feedback memristor and negative feedback memristor on the system and their similarities and differences are considered. Meanwhile, by analyzing the complex dynamic behavior of the system under different control parameters and initial values, it can be found that the proposed memristive hyperchaotic system shows many interesting phenomena including hidden extreme multistability, transient chaotic transition behavior and variable-wing characteristics. Finally, the hardware electronic circuit of the memristive hyperchaotic system is designed. The hardware experimental results are highly consistent with the numerical simulation ones, which demonstrate the physical realizability of the proposed system.

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A tristable locally active memristor and its application in Hopfield neural network

Cited by 104 publications

References 58 publications

A color image encryption algorithm based on hyperchaotic map and DNA mutation

A color image encryption algorithm based on hyperchaotic map and DNA mutation

RC Bridge Oscillation Memristor Chaotic Circuit for Electrical and Electronic Technology Extended Simulation Experiment

Dynamic analysis and circuit realization of a novel variable-wing 5D memristive hyperchaotic system with line equilibrium

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