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Complexity Analysis and Synchronization Control of Fractional-Order Jafari-Sprott Chaotic System
IEEE Access, 2020 Aiming at the complexity problem of fractional-order Jafari-Sprott chaotic system, in this paper, Adomian decomposition method is used to study its numerical analysis and a complexity analysis method of fractional-order Jafari-Sprott chaotic system based
Guohui Li, Xiangyu Zhang, Hong Yang
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Controlling and synchronizing a fractional-order chaotic system using stability theory of a time-varying fractional-order system. [PDF]
PLoS ONE, 2018 Control and synchronization of fractional-order chaotic systems have attracted wide attention due to their numerous potential applications. To get suitable control method and parameters for fractional-order chaotic systems, the stability analysis of time-
Yu Huang +3 more
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A New Fractional-Order Chaotic System with Different Families of Hidden and Self-Excited Attractors [PDF]
Entropy, 2018 In this work, a new fractional-order chaotic system with a single parameter and four nonlinearities is introduced. One striking feature is that by varying the system parameter, the fractional-order system generates several complex dynamics: self-excited ...
Jesus M. Munoz-Pacheco +5 more
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Analysis and implementation of fractional-order chaotic system with standard components. [PDF]
J Adv Res, 2020 This paper is devoted to the problem of uncertainty in fractional-order Chaotic systems implemented by means of standard electronic components. The fractional order element (FOE) is typically substituted by one complex impedance network containing a huge number of discrete resistors and capacitors. In order to balance the complexity and accuracy of the
Yao J +4 more
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Fractal and Fractional, 2023 Chaos-based image encryption has become a prominent area of research in recent years. In comparison to ordinary chaotic systems, fractional-order chaotic systems tend to have a greater number of control parameters and more complex dynamical ...
Wei Feng +7 more
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Parameter Identification of Fractional-Order Discrete Chaotic Systems [PDF]
Entropy, 2019 Research on fractional-order discrete chaotic systems has grown in recent years, and chaos synchronization of such systems is a new topic. To address the deficiencies of the extant chaos synchronization methods for fractional-order discrete chaotic ...
Yuexi Peng +3 more
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Synchronization of fractional order chaotic systems [PDF]
Physical Review E, 2003 The chaotic dynamics of fractional order systems begin to attract much attentions in recent years. In this brief report, we study the master-slave synchronization of fractional order chaotic systems. It is shown that fractional order chaotic systems can also be synchronized.
Li, Chunguang +2 more
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Frontiers in Applied Mathematics and Statistics, 2023 This paper presents the fractional-order projection of a chaotic system, which delivers a collection of self-excited and hidden chaotic attractors as a function of a single system parameter.
Fernando E. Serrano +2 more
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Introduction to the fractional-order chaotic system under fractional operator in Caputo sense
Alexandria Engineering Journal, 2021 In this paper, we consider a new fractional-order chaotic system described by the Caputo fractional derivative. This paper’s main objective is to analyze the bifurcation maps to detect the chaotic regions for a new fractional-order chaotic system.
Ndolane Sene
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IEEE Access, 2022 To solve the problem that the fractional-order system is difficult to implement on FPGA, the chaotic behavior of a single fractional-order Chen system is realized on the FPGA platform in this article by using Laplace transform and Bode-domain ...
Lixiong Lin, Qing Wang, Guowei Cai
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