Synchronization control between two Chua′s circuits via capacitive coupling

Liu, Zhilong; Ma, Jun; Zhang, Ge; Zhang, Yin

doi:10.1016/j.amc.2019.05.004

Cited by 30 publications

(13 citation statements)

References 45 publications

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“…Synchronization and control of the Chua system have attracted more attention. Over the past decades, several control approaches have been used to synchronize two different Chua oscillators, such as active control (Mahmoud et al, 2007), adaptive control (Hu et al, 2005), impulsive control (Sun and Zhang, 2004), robust control (Li and Zhao, 2016), sliding mode control (Mufti et al, 2018), robust adaptive state feedback sliding-mode control (Xue et al, 2017), and synchronization via capacitive coupling (Liu et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Control and synchronization for two Chua systems based on intuitionistic fuzzy control scheme: A comparative study

Hamdy

Magdy

Helmy

2021

Transactions of the Institute of Measurement and Control

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This paper presents control and synchronization for two nonlinear chaotic systems in the presence of uncertainties and external disturbances based on an intuitionistic fuzzy control (IFC) scheme. Two classes of Chua and cubic Chua oscillators have been formulated as master and slave respectively. The master and slave systems have different initial conditions and parameters, which leads to the butterfly effect that rules the chaotic systems’ behaviour. IFC scheme is chosen as a different method that has not been used before to control and synchronize Chua and cubic Chua oscillators. The main objective of the IFC scheme is to collect more information about the system and provide flexibility for the controller that increases the robustness of the control system to uncertainties in the structure of the chaotic systems. The stability analysis of the overall system is guaranteed using Routh-Hurwitz and Lyapunov criteria. The simulation results accomplished to evaluate the effectiveness of the proposed control and to demonstrate its reliability to control Chua’s circuit system with a comparative study.

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Section: Introductionmentioning

confidence: 99%

Control and synchronization for two Chua systems based on intuitionistic fuzzy control scheme: A comparative study

Hamdy

Magdy

Helmy

2021

Transactions of the Institute of Measurement and Control

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“…Referring to synchronization between chaotic electronic circuits, the linear resistor coupling between two electronic circuits can realize the linear state variable coupling between chaotic systems, and the linear capacitive coupling or linear inductor coupling between two electronic circuits can realize the first derivative of state variable linear coupling. Up to now, many scholars [19][20][21][22][23] have proposed some synchronization approaches on integer-order chaotic electronic circuits by linear resistor coupling or linear capacitive coupling or a linear inductor coupling. However, to the best of our knowledge, there are little results on synchronization fractional-order chaotic electronic circuits coupled by a linear resistor or linear capacitive or linear inductor.…”

Section: Introductionmentioning

confidence: 99%

Circuit Implementation Synchronization between Two Modified Fractional-Order Lorenz Chaotic Systems via a Linear Resistor and Fractional-Order Capacitor in Parallel Coupling

Liu

Cheng

Zhou

2021

Mathematical Problems in Engineering

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In this study, a modified fractional-order Lorenz chaotic system is proposed, and the chaotic attractors are obtained. Meanwhile, we construct one electronic circuit to realize the modified fractional-order Lorenz chaotic system. Most importantly, using a linear resistor and a fractional-order capacitor in parallel coupling, we suggested one chaos synchronization scheme for this modified fractional-order Lorenz chaotic system. The electronic circuit of chaos synchronization for modified fractional-order Lorenz chaotic has been given. The simulation results verify that synchronization scheme is viable.

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“…e dynamics of complex systems has been a hot topic in nonlinear science due to its wide application in biology, ecology, physics, and chemistry. To investigate the collective behavior, the model of coupled nonlinear oscillators is simple but powerful [1][2][3][4][5][6][7][8]. Aging transition (AT), one of the significant collective behaviors, has been concerned by physical researchers and studied in different dynamical models [9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

A Chimera Oscillatory State in a Globally Delay-Coupled Oscillator Network

Yao

2020

Complexity

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Oscillatory behavior is absolutely necessary for the normal functioning of various organisms and their performance. Therefore, it is necessary to protect the oscillatory behavior in an aging network which consists of oscillatory and nonoscillatory nodes. In this work, we investigate numerically and theoretically the effect of time delay on oscillatory behaviors in a network which includes active and inactive Stuart–Landau oscillators. Interestingly, we find a chimera oscillatory state where a part of oscillators is a steady state while other oscillators preserve oscillatory motion; such dynamical behaviors are considered generally to be impossible for globally coupled systems when the coupling strength is sufficiently large. Furthermore, our results reveal that time delay can effectively inhibit aging transition and recover the oscillatory behavior from the aging network.

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Synchronization control between two Chua′s circuits via capacitive coupling

Cited by 30 publications

References 45 publications

Control and synchronization for two Chua systems based on intuitionistic fuzzy control scheme: A comparative study

Control and synchronization for two Chua systems based on intuitionistic fuzzy control scheme: A comparative study

Circuit Implementation Synchronization between Two Modified Fractional-Order Lorenz Chaotic Systems via a Linear Resistor and Fractional-Order Capacitor in Parallel Coupling

A Chimera Oscillatory State in a Globally Delay-Coupled Oscillator Network

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