Dynamical Analysis and Sampled-Data Stabilization of Memristor-Based Chua’s Circuits

Gunasekaran, Nallappan; Srinivasan, Sabarathinam; Zhai, Guisheng; Yu, Qiang

doi:10.1109/access.2021.3054653

Cited by 13 publications

(2 citation statements)

References 50 publications

(60 reference statements)

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“…Oscillatory circuits with ideal memristors have been investigated in several works (see, e.g., [1]- [4], [25]- [30], and references therein). The theory underlying the dynamic behavior in the ideal case is nowadays quite well understood.…”

Section: Introductionmentioning

confidence: 99%

Oscillatory Circuits With a Real Non-Volatile Stanford Memristor Model

et al. 2022

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Stanford memristor model is a widely used model that accurately characterizes real nonvolatile metal-oxide resistive random access memory (RRAM) devices with bipolar switching characteristics. The paper studies for the first time the dynamics and bifurcations in a class of nonlinear oscillators with real non-volatile memristor devices obeying Stanford model. This is in contrast with papers in the literature considering oscillators with ideal, abstract, or artificial memristor models, that are unable to describe physical memristors implemented in nanotechnology. One main new idea in the paper is to use the memristor as a programmable nonlinear resistor. Namely, two principal modes of operation are considered. 1) Analogue transient phase: the oscillator is designed so that in the transient oscillations the voltage on the memristor is below threshold, hence the main memristor state variable, i.e., the gap of the insulating material, is almost constant and the memristor behaves as a static nonlinear resistor. 2) Programming phase: the nonlinear characteristic of the memristor, which depends on the gap, can be changed via the application of voltages above threshold. The paper studies nonlinear oscillations in the transient phase for a fixed gap as well as the bifurcations phenomena displayed when the gap is varied. The paper also discusses the differences between the approach in the paper and those to design other memristor oscillators with nonvolatile memristors.INDEX TERMS Bifurcations, Chua's circuit, complex dynamics, memristor, Stanford model.

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Section: Introductionmentioning

confidence: 99%

Oscillatory Circuits With a Real Non-Volatile Stanford Memristor Model

et al. 2022

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“…For example, chaotic systems with optimal conditions can be used in secure communications [5], cryptography [6], economics [7], aerospace [8], event-triggered communication [9], masking communication [10], transportation [11], mechanics [12], power systems [13] and other sciences. Chaos theory also has been considered in stochastic systems [14], memristor-based circuits [15], neural systems [16], finite-size systems [17], urban systems [18], quantum systems [19], Takagi-Sugeno (TS) fuzzy systems [20,21], etc. A specific method is used to synchronize chaotic and super-chaotic systems with the possibility of oscillation of two or more systems.…”

Section: Introduction 1background and Motivationmentioning

confidence: 99%

Nonsingular Integral-Type Dynamic Finite-Time Synchronization for Hyper-Chaotic Systems

Alattas

Mostafaee

Sambas³

et al. 2021

Mathematics

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In this study, the synchronization problem of chaotic systems using integral-type sliding mode control for a category of hyper-chaotic systems is considered. The proposed control method can be used for an extensive range of identical/non-identical master-slave structures. Then, an integral-type dynamic sliding mode control scheme is planned to synchronize the hyper-chaotic systems. Using the Lyapunov stability theorem, the recommended control procedure guarantees that the master-slave hyper-chaotic systems are synchronized in the existence of uncertainty as quickly as possible. Next, in order to prove the new proposed controller, the master-slave synchronization goal is addressed by using a new six-dimensional hyper-chaotic system. It is exposed that the synchronization errors are completely compensated for by the new control scheme which has a better response compared to a similar controller. The analog electronic circuit of the new hyper-chaotic system using MultiSIM is provided. Finally, all simulation results are provided using MATLAB/Simulink software to confirm the success of the planned control method.

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