A bistable nonvolatile locally-active memristor and its complex dynamics

Dong, Yujiao; Wang, Guangyi; Chen, Guanrong; Shen, Yiran; Ying, Jiajie

doi:10.1016/j.cnsns.2020.105203

Cited by 51 publications

(14 citation statements)

References 24 publications

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“…Content may change prior to final publication. quires an adjustment for our chaotic system as given in (11).…”

Section: A the Proposed Algorithmmentioning

confidence: 99%

“…C HAOTIC OSCILLATORS have been a hot topic for research during the last years due to its usefulness in the development of chaotic secure communication systems and other applications that have been implemented using either analog or digital electronics, as already shown in [1]. Chaotic systems have attracted great attention in several application areas in engineering such as secure communication ( [2], [3]), encryption ( [4], [5]), networks [6], cryptosystems ( [7], [8]), chemical systems ( [9], [10]), memristive systems ( [11], [12]), neural networks ( [13], [14]), biology ( [15], [16]), lasers ( [17]- [19]), circuits ( [20], [21]), etc.…”

Section: Introductionmentioning

confidence: 99%

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A 3-D Multi-Stable System With a Peanut-Shaped Equilibrium Curve: Circuit Design, FPGA Realization, and an Application to Image Encryption

Sambas¹,

et al. 2020

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A new 3-D chaotic dynamical system with a peanut-shaped closed curve of equilibrium points is introduced in this work. Since the new chaotic system has infinite number of rest points, the new chaotic model exhibits hidden attractors. A detailed dynamic analysis of the new chaotic model using bifurcation diagrams and entropy analysis is described. The new nonlinear plant shows multi-stability and coexisting convergent attractors. A circuit model using MultiSim of the new 3-D chaotic model is designed for engineering applications. The new multi-stable chaotic system is simulated on a field-programmable gate array (FPGA) by applying two numerical methods, showing results in good agreement with numerical simulations. Consequently, we utilize the properties of our chaotic system in designing a new cipher colour image mechanism. Experimental results demonstrate the efficiency of the presented encryption mechanism, whose outcomes suggest promising applications for our chaotic system in various cryptographic applications.

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“…Content may change prior to final publication. quires an adjustment for our chaotic system as given in (11).…”

Section: A the Proposed Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A 3-D Multi-Stable System With a Peanut-Shaped Equilibrium Curve: Circuit Design, FPGA Realization, and an Application to Image Encryption

Sambas¹,

et al. 2020

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“…Wang et al proposed a locally active memristor with two pinched hysteresis loops and four locally active regions. The effect of locally active memristors on the complexity of systems was discussed [34]. Tang and Wang proposed a locally active memristor with two pinched hysteresis loops and wide locally active regions, and found that firing behaviors occur only within the locally active regions [35].…”

Section: Introductionmentioning

confidence: 99%

A fractional-order multistable locally active memristor and its chaotic system with transient transition, state jump

2021

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Fractional calculus is closer to reality and has the same memory characteristics as memristor. Therefore, a fractional-order multistable locally active memristor is proposed for the first time in this paper, which has infinitely many coexisting pinched hysteresis loops under different initial states and wide locally active regions. Through the theoretical and numerical analysis, it is found that the fractional-order memristor has stronger locally active and memory characteristics and wider nonvolatile ranges than the integer-order memristor. Furthermore, this fractional-order memristor is applied in a chaotic system. It is found that oscillations occur only within the locally active regions. This chaotic system not only has complex and rich nonlinear dynamics such as infinitely many discrete equilibrium points, multistability, anti-monotonicity but also produces two new phenomena that have not been found in other chaotic systems after neglecting some initial transients. The first one is transient transition: the behavior of transient chaotic and transient period transition alternately occurring. The second is state jump: the behavior of period-4 oscillation or chaotic oscillation jumping to period-2 oscillation. Finally, the circuit simulation of the fractional-order multistable locally active memristive chaotic system using PSIM is carried out to verify the validity of the numerical simulation results.

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“…By introducing an inductor and a capacitor to the memritor circuit, a third-order chaotic oscillator was found and analyzed in [11]. In addition, a bi-stable non-volatile locally active memristor with complex dynamics was proposed and analyzed in [12]. Then, a tri-stable locally active memristor with wide large active region was constructed and introduced in a Chua system, which had been implemented successfully by commercial analog elements [13].…”

Section: Introductionmentioning

confidence: 99%

A new locally active memristive synapse-coupled neuron model

Wang

Dong

2021

Nonlinear Dyn

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In this paper, a new type of non-volatile locally active memristor with bi-stability is proposed by injecting appropriate voltage pulses to realize a switching mechanism between two stable states. It is found that the memristive parameters of the new memristor can affect the local activity, which has been rarely reported, and this phenomenon is explained based on mathematical analyses and numerical simulations. Then, a locally active memristive coupled neuron model is constructed using the proposed memristor as a connecting synapse. The parameter-associated dynamical behaviors are revealed by bifurcation plots, phase plane portraits and dynamical evolution maps. Moreover, the bi-stability phenomenon of the new coupled neuron model is disclosed by local attraction basins, and the periodic burster and multi-scroll chaotic burster are found if a multi-level pulse current is used to imitate a periodical external stimulus on the neurons. The Hamiltonian energy function is calculated and analyzed with or without external excitation. Finally, the neuronal circuit is designed and implemented, which can mimic electrical activity of the neurons and is useful for physical applications. The experimental results captured from the

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A bistable nonvolatile locally-active memristor and its complex dynamics

Cited by 51 publications

References 24 publications

A 3-D Multi-Stable System With a Peanut-Shaped Equilibrium Curve: Circuit Design, FPGA Realization, and an Application to Image Encryption

A 3-D Multi-Stable System With a Peanut-Shaped Equilibrium Curve: Circuit Design, FPGA Realization, and an Application to Image Encryption

A fractional-order multistable locally active memristor and its chaotic system with transient transition, state jump

A new locally active memristive synapse-coupled neuron model

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