A memristive conservative chaotic circuit consisting of a memristor and a capacitor

Deng, Yue; Li, Yuxia

doi:10.1063/1.5128384

Cited by 33 publications

(9 citation statements)

References 34 publications

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“…This system is the honorary member of a class of chaotic systems to which also belong: Sprott systems [6], Murali-Lakshmanan-Chua circuits [19], memristor based circuits as in [9] or 3-dimensional piecewise-linear system as shown in [27,30]. That systems can be relatively easily designed through electronic circuits and the corresponding dynamical equations can be numerically analysed and theoretically investigated.…”

Section: Numerical Resultsmentioning

confidence: 99%

Synchronization in a class of chaotic systems

J.¹,

Acosta²,

Garcia³

2021

Preprint

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In this work, the synchronization problem of a master-slave system of autonomous ordinary differential equations (ODEs) is considered. Here, the systems are, chaotic with a nonlinearity represented by a piecewise linear function, non-identical and linearly coupled.The idea behind our methodology is quite simple: we couple the systems with a linear function of the difference between the states of the systems and we propose a formal solution for the ODE that governs the evolution of that difference and then we determine what the parameters should be of the coupling function, so that the solution of that ODE is a fixed point close to zero.As the main result, we obtain conditions for the coupling function that guarantize the synchronization, based on a suitable descomposition of the system joined to a fixed point theorem.The scheme seems to be valid for a wide class of chaotic systems of great practical utility.

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Section: Numerical Resultsmentioning

confidence: 99%

Synchronization in a class of chaotic systems

J.¹,

Acosta²,

Garcia³

2021

Preprint

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“…The MC circuit experiments show the memristor does exist (Pershin and Ventra, 2018 ). The main application of the MC circuit is used as the chaos circuit (Wang et al, 2019 ; Deng and Li, 2020 ), filter circuits (Sozen and Cam, 2014 ; Gursul and Hamamci, 2019 ), relaxation oscillators (Mutlu, 2015 ), and charging circuit (John et al, 2016 ). Not only that, the MC circuit can be utilized to solve the differential equations (Fu et al, 2021 ), perform the complex dynamical behaviors (Chen et al, 2019 ), stochastic computing (Benito et al, 2021 ), and bursting oscillations (Njitacke et al, 2020 ).…”

Section: Introductionmentioning

confidence: 99%

Transient Response and Firing Behaviors of Memristive Neuron Circuit

et al. 2022

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The signal transmission mechanism of the Resistor-Capacitor (RC) circuit is similar to the intracellular and extracellular signal propagating mechanism of the neuron. Thus, the RC circuit can be utilized as the circuit model of the neuron cell membrane. However, resistors are electronic components with the fixed-resistance and have no memory properties. A memristor is a promising neuro-morphological electronic device with nonvolatile, switching, and nonlinear characteristics. First of all, we consider replacing the resistor in the RC neuron circuit with a memristor, which is named the Memristor-Capacitor (MC) circuit, then the MC neuron model is constructed. We compare the charging and discharging processes between the RC and MC neuron circuits. Secondly, two models are compared under the different external stimuli. Finally, the synchronous and asynchronous activities of the RC and MC neuron circuits are performed. Extensive experimental results suggest that the charging and discharging speed of the MC neuron circuit is faster than that of the RC neuron circuit. Given sufficient time and proper external stimuli, the RC and MC neuron circuits can produce the action potentials. The synchronous and asynchronous phenomena in the two neuron circuits reproduce nonlinear dynamic behaviors of the biological neurons.

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“…The circuit is modeled in a three differential equation system and shows complicated dynamics. Many more strives have been made of recent in an effort to simplify chaotic systems in terms the number of elements used in the circuit (10)(11)(12) . Recently, researchers are using not just the properties of memristors, but memory devices (memdevices) to reduce the number of elements in a circuit that are required for chaotic oscillations (13) .…”

Section: Introductionmentioning

confidence: 99%

FPGA Implementation of a Novel Two-internal-State Memristor and its Two Component Chaotic Circuit

Alombah¹,

Tchendjeu²,

Kengne³

et al. 2021

IJST

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Objectives: To propose a second-order locally-active memristor, a twocomponent chaotic circuit resulting from this current-controlled generic memristor and an application in steganography. Methods/statistical analysis: Using a one-state-variable first-order memristor, a model is proposed which is obtained by modifying a locally-active memristor based on a current-controlled generic memristor. The model has two internal state variables: a voltage stored up in a capacitor and a current stored up in an inductor. With an external inductor, 3D-two-component chaotic circuit is developed. Numerical studies are made using MATLAB and confirmed by a field programmable gate array (FPGA) based hardware implementation. Findings: A two-state-variable based second-order memristor model is presented. The novel memristor configuration leads to the design of a simple two-component chaotic circuit. By investigating the characteristics of the memristor, it is shown that the memristor can be switched from a predominantly passive region to an active region with a wide locally-active region. An application in steganography helps to hide a secrete message inside an image. Application/improvements: The results obtained in this investigation will enrich the literature of memristive circuits, enhance the simplification of chaotic circuits and can be used to improve the memristive circuit based applications in many research domains such as secure information in telecommunications, Random Number Generation (RNG) and image encryption.

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A memristive conservative chaotic circuit consisting of a memristor and a capacitor

Cited by 33 publications

References 34 publications

Synchronization in a class of chaotic systems

Synchronization in a class of chaotic systems

Transient Response and Firing Behaviors of Memristive Neuron Circuit

FPGA Implementation of a Novel Two-internal-State Memristor and its Two Component Chaotic Circuit

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