A S-type bistable locally active memristor model and its analog implementation in an oscillator circuit

Li, Chunlai; Li, Haodong; Xie, Wenwu; Du, Jianrong

doi:10.1007/s11071-021-06814-4

Cited by 54 publications

(12 citation statements)

References 43 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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“…In recent years, the research and application on chaotic systems have become more and more abundant [ 28 , 29 , 30 , 31 ]. By introducing memristors with different nonlinearities into existing circuits, a large number of circuits based on memristor have been proposed and very fruitful results have been obtained [ 32 , 33 , 34 , 35 , 36 , 37 , 38 ]. For example, complex dynamic behaviors have been discovered in various memristor-based circuits, including multistability [ 39 ], transient chaos [ 40 ], and hyperchaos [ 41 ].…”

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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“…The emergence of the memristor [19][20][21][22] is also a milestone event for chaos research. Professor Chua predicted the existence of the memristor based on the principle of circuit symmetry in 1971 and sorted out the types and principles of the memristor in subsequent years.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis and DSP Implementation of Memristor Chaotic Systems with Multiple Forms of Hidden Attractors

2022

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In this paper, a new six dimensional memristor chaotic system is designed by combining the chaotic system with a memristor. By analyzing the phase diagram of the chaotic attractors, eleven different attractors are found, including a multi-wing attractor and symmetric attractors. By analyzing the equilibrium point of the system, it is proven that the system has the property of a hidden chaotic attractor. The dynamic behavior of the system when the three parameters change is analyzed by means of LEs and a Bifurcation diagram. Other phenomenon, such as chaos degradation, coexistence of multiple attractors and bias boosting, are also found. Finally, the simulation on the DSP platform also verifies the accuracy of the chaotic system simulation. The theoretical analysis and simulation results show that the system has rich dynamical characteristics; therefore, it is suitable for secure communication and image encryption and other fields.

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A S-type bistable locally active memristor model and its analog implementation in an oscillator circuit

Cited by 54 publications

References 43 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 DSP Implementation of Memristor Chaotic Systems with Multiple Forms of Hidden Attractors

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