Synchronization of hyperchaotic Wang-Liu system with experimental implementation on FPAA and FPGA

Yılmaz, Gülnur; Altun, Kenan; Günay, Enis

doi:10.1007/s10470-022-02073-4

Cited by 4 publications

(1 citation statement)

References 43 publications

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“…The basic principle of synchronization lies in the convergence of trajectories of two systems, commonly named master (drive) and slave (response) systems (Gularte et al, 2021). It can be also explained as adjusting the signals coming from the slave part to act as the master system (Yılmaz et al, 2022). Chaos synchronization has been studied to control nonlinear dynamical systems after the pioneering research of Pecora and Carroll (Pecora et al, 1997).…”

Section: Introductionmentioning

confidence: 99%

Fractional Order Analysis of the 4-Dimensional Hyperchaotic Pang System and Its Adaptive Synchronization

Yılmaz,

Günay

2024

UUJFE

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Fractional calculus is an effective method used to analyze the dynamics of nonlinear systems and provide more precise results. In this study, firstly, the 4-dimensional Pang system is introduced and its dynamic analyses demonstrating the hyperchaotic structure are given. Then, fractional-order calculations of the system are presented and the dynamics of the system for different fraction orders are investigated. At this point, according to the results obtained from Lyapunov exponents and phase-space representation, the Pang system exhibits periodic, chaotic, and hyperchaotic behaviors in different fractional orders. The results obtained at the end of this study present that the system is hyperchaotic for the fractional order of 3.52 and it is also confirmed that more accurate results are obtained than the integer-order analysis. In the next part of the study, adaptive synchronization of the fractional-order system is performed. Three different cases are examined and it is demonstrated that synchronization is achieved in all cases.

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Section: Introductionmentioning

confidence: 99%

Fractional Order Analysis of the 4-Dimensional Hyperchaotic Pang System and Its Adaptive Synchronization

Yılmaz,

Günay

2024

UUJFE

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Multi-frequency weak signal detection based on Liu-like chaotic synchronization system and its hardware circuit implementation

Yan,

Guo,

Song

2025

Integration

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Synchronization of a nonlinear 4D hyperchaotic system using linear feedback control strategy

Ding,

Cai,

Shi

2024

J. Phys.: Conf. Ser.

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This paper uses a linear feedback control strategy to discuss the synchronization analysis of the nonlinear 4D hyperchaotic system. Targeting four control schemes, namely four, three, two, and one simple linear feedback controller, respectively, the synchronization of this hyperchaotic system was achieved through the Backstepping method. By using some simpler controllers, global asymptotic synchronization has been achieved. Among these four schemes, sufficient conditions for the synchronization of two identical hyperchaotic systems were derived using linear feedback control and the Lyapunov stability theorem. Finally, these results were validated through numerical simulation examples, demonstrating the correctness and effectiveness of the theoretical analysis.

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Synchronization of hyperchaotic Wang-Liu system with experimental implementation on FPAA and FPGA

Cited by 4 publications

References 43 publications

Fractional Order Analysis of the 4-Dimensional Hyperchaotic Pang System and Its Adaptive Synchronization

Fractional Order Analysis of the 4-Dimensional Hyperchaotic Pang System and Its Adaptive Synchronization

Multi-frequency weak signal detection based on Liu-like chaotic synchronization system and its hardware circuit implementation

Synchronization of a nonlinear 4D hyperchaotic system using linear feedback control strategy

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