A tristable locally-active memristor and its complex dynamics

Ying, Jiajie; Liang, Yan; Wang, Junlan; Dong, Yujiao; Wang, Guangyi; Gu, Meihua

doi:10.1016/j.chaos.2021.111038

Cited by 18 publications

(8 citation statements)

References 30 publications

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“…The particularity of this memristor model is that it is locally active tristable. Moreover, bistable memristors are usually exploited to construct non-volatile memories or binary switch while tristable memristors can be used to reset binary memories or switches [39,40].…”

Section: Memristor Modelmentioning

confidence: 99%

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Privacy data protection scheme using memristive hyperchaos and multi-scale block compressive sensing

et al. 2023

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Recently, most meaningful image encryption schemes incorporated with various compressive sensing models have been developed to achieve dual protection of private image data and appearance. However, there exist performance constraints in these schemes in terms of anti-chosen-plaintext attack capability and key management. Aiming at the above issues, a new visually secure image encryption scheme is proposed using multi-scale block compressive sensing (MSB-CS) model and asymmetric integer wavelet transform (IWT) embedding. In this scheme, a memristor model with locally active tristable is first introduced into the oscillator to construct a new 5-D memristive hyperchaotic system to generate cipher flows. Then, the non-linear MSB-CS model is designed to compress sparsely-represented plaintext coefficients. After a series of encryption operations, secret image without semantic features is asymmetrically embedded into the same-scale non-secret-involved carrier image. Additionally, both communicating parties, Alice and Bob, acquire shared secret key through the key sharing protocol based on matrix factorization problem. Finally, simulation experiments and comprehensive analysis indicate that the 5-D memristive system has complicated hyperchaotic behaviours. In the meantime, the designed encryption scheme possesses better the anti-differential attack capability and reconstruction performance than other recently proposed schemes.

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Section: Memristor Modelmentioning

confidence: 99%

“…To construct a hyperchaotic oscillator, the oscillator in [40] is modified using a recently designed locally active tristable and the result is presented in equation (8).…”

Section: Memristive Hyperchaotic Systemmentioning

confidence: 99%

Privacy data protection scheme using memristive hyperchaos and multi-scale block compressive sensing

et al. 2023

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“…Many hardware implementations of memristor have been reported, such as NbO x , VO 2 , and TaO x devices, which are passive but local activity to be locally active memristors [8][9][10][11]. A bistable and a tristable locally active memristors are applied to construct chaotic circuits with rich dynamics, respectively [12,13], whose basic characteristics, coexisting dynamics, and oscillation mechanisms are analyzed. Locally active memristors can generate complex dynamical behaviors with potential application in many fields, including neurobiology [14,15] and nonlinear dynamics [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active Domains

Ying

Liang

et al. 2022

Electronics

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This paper proposes a modified Chua Corsage Memristor endowed with two symmetrical locally active domains. Under the DC bias voltage in the locally active domains, the memristor with an inductor can construct a second-order circuit to generate periodic oscillation. Based on the theories of the edge of chaos and local activity, the oscillation mechanism of the symmetrical periodic oscillations of the circuit is revealed. The third-order memristor circuit is constructed by adding a passive capacitor in parallel with the memristor in the second-order circuit, where symmetrical periodic oscillations and symmetrical chaos emerge either on or near the edge of chaos domains. The oscillation mechanisms of the memristor-based circuits are analyzed via Domains distribution maps, which include the division of locally passive domains, locally active domains, and the edge of chaos domains. Finally, the symmetrical dynamic characteristics are investigated via theory and simulations, including Lyapunov exponents, bifurcation diagrams, and dynamic maps.

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“…[36] Ying et al proposed a nonvolatile locallyactive memristor, and the edge of chaos was observed using the method of the small-signal equivalent circuit. [37] Wang et al proposed a locally-active memristor with two pinched hysteresis loops and four locally-active regions, and the effect of locally-active memristors on the complexity of systems was discussed. [38] Fractional calculus is a generalization of the integer-order calculus, and it has the same historical memory characteristic as memristor with respect to time, therefore memristor and memristive system can be extended to fractional-order.…”

Section: Introductionmentioning

confidence: 99%

Transient transition behaviors of fractional-order simplest chaotic circuit with bi-stable locally-active memristor and its ARM-based implementation

Yang¹,

Liang²,

Ding³

et al. 2021

Chinese Phys. B

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This paper proposes a fractional-order simplest chaotic system using a bi-stable locally-active memristor. The characteristics of the memristor and transient transition behaviors of the proposed system are analyzed, and this circuit is implemented digitally using ARM-based MCU. Firstly, the mathematical model of the memristor is designed, which is nonvolatile, locally-activeand bi-stable. Secondly, the asymptotical stability of the fractional-order memristive chaotic system is investigated and some sufficient conditions of the stability are obtained. Thirdly, complex dynamics of the novel system are analyzed using phase diagram, Lyapunov exponential spectrum, bifurcation diagram, basin of attractor, and coexisting bifurcation, coexisting attractors are observed. All of these results indicate that this simple system contains the abundant dynamic characteristics. Moreover, transient transition behaviors of the system are analyzed, and it is found that the behaviors of transient chaotic and transient period transition alternately occur. Finally, the hardware implementation of the fractional-order bi-stable locally-active memristive chaotic system using ARM-based STM32F750 is carried out to verify the numerical simulation results.

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A tristable locally-active memristor and its complex dynamics

Cited by 18 publications

References 30 publications

Privacy data protection scheme using memristive hyperchaos and multi-scale block compressive sensing

Privacy data protection scheme using memristive hyperchaos and multi-scale block compressive sensing

Complex Oscillations of Chua Corsage Memristor with Two Symmetrical Locally Active Domains

Transient transition behaviors of fractional-order simplest chaotic circuit with bi-stable locally-active memristor and its ARM-based implementation

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