Hybrid Memristor Chaotic System

Sun, Junwei; Han, Gaoyong; Wang, Yanfeng; Zhang, Hao; Wu, Lei

doi:10.1166/jno.2018.2326

Cited by 18 publications

(18 citation statements)

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“…There are many new chaotic systems in the literature [18][19][20]. In this section the new fractional-order chaotic system which has been introduced in [20] is considered since it has many interesting properties.…”

Section: Simulation Resultsmentioning

confidence: 99%

Robust Control and Synchronization of 3‐D Uncertain Fractional‐Order Chaotic Systems with External Disturbances via Adding One Power Integrator Control

Luo

Huang

2019

Complexity

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This paper investigates the control and synchronization of a class of 3-D uncertain fractional-order chaotic systems with external disturbances. The adding one power integrator control scheme, which is the generalization of the traditional backstepping method, is used to investigate the global stability of the control and synchronization manifold. As a result, several criteria for chaos control and synchronization are obtained. Compared with the previous results, the presented strategies can not only be applied to a class of strict-feedback systems but also be applied to more general class of fractional-order chaotic systems. In addition, the proposed controllers are robust against uncertain parameters and external disturbances. To validate the effectiveness of the proposed criteria, two illustrative examples are given.

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Section: Simulation Resultsmentioning

confidence: 99%

Robust Control and Synchronization of 3‐D Uncertain Fractional‐Order Chaotic Systems with External Disturbances via Adding One Power Integrator Control

Luo

Huang

2019

Complexity

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“…e systems (13) and (14) can be anti-synchronized under the periodic intermittent controller (15) if the following conditions are satis ed:…”

Section: Theorem 1 Suppose Assumption 1 Holdsmentioning

confidence: 99%

“…4: Dynamical behaviors of the drive system (13) and the response system (14) with periodic intermittent controller (15), where = 0.985, 1 = 30, 2 = 34, = 33, = 1, and = 0.8,…”

Section: Theorem 1 Suppose Assumption 1 Holdsmentioning

confidence: 99%

“…e memristor could "remember" its state when the voltage is turned o . Because of the characteristics of memristor, the potential applications of the chaotic system with memristor have been discovered in quite a few elds such as cryptography, lter, image encryption, etc., [10][11][12][13][14][15]. erefore, the behaviors and properties of memristor have attracted the attention of many researchers attention.…”

Section: Introductionmentioning

confidence: 99%

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Anti-Synchronization of Fractional-Order Chaotic Circuit with Memristor via Periodic Intermittent Control

Meng

Zeng

Wang

et al. 2020

Advances in Mathematical Physics

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In this paper, the anti-synchronization of fractional-order chaotic circuit with memristor (FCCM) is investigated via a periodic intermittent control scheme. Based on the principle of periodic intermittent control and the Lyapunov stability theory, a novel criterion is adopted to realize the anti-synchronization of FCCM. Finally, some examples of numerical simulations are exploited to verify the feasibility of theoretical analysis.

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“…Also, the memristor chaotic systems, for example, are also suitable cases for the investigation of combination synchronization-II. Recently, autonomous memristor systems of infinite chaotic attractors were proposed and electronic circuits of such memristor chaotic systems have been designed [36,37]. With circuitry realization where memristor chaotic systems show parallel combination, the combination synchronization-II scheme can be extended for investigating multiple memristor systems of infinite chaotic attractors [36,37].…”

Section: Combination Synchronization-ii Of Casementioning

confidence: 99%

A New Type of Combination Synchronization among Multiple Chaotic Systems

Wang

Sun

Wang

et al. 2019

Mathematical Problems in Engineering

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Based on former combination synchronization studies, a new type of combination synchronization approach is developed in this research, with the consideration of parallel combination of drive systems. This new synchronization approach is referred to as combination synchronization-II. As a representative case, the combination synchronization-II between three drive systems and one response system is studied. Applying Lyapunov stability theorem and active backstepping design, sufficient conditions for the proposed combination synchronization approach are derived. Numerical simulations are performed to show the feasibility and effectiveness of the proposed approach. Based on the investigation in this research, the proposed approach provides an applicable method for designing universal combination synchronization among multiple chaotic systems.

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Hybrid Memristor Chaotic System

Cited by 18 publications

References 0 publications

Robust Control and Synchronization of 3‐D Uncertain Fractional‐Order Chaotic Systems with External Disturbances via Adding One Power Integrator Control

Robust Control and Synchronization of 3‐D Uncertain Fractional‐Order Chaotic Systems with External Disturbances via Adding One Power Integrator Control

Anti-Synchronization of Fractional-Order Chaotic Circuit with Memristor via Periodic Intermittent Control

A New Type of Combination Synchronization among Multiple Chaotic Systems

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