Adaptive Synchronization for Hyperchaotic Liu System

Li, Shunjie; Wu, Yawen; Zheng, Gang

doi:10.3389/fphy.2021.812048

Cited by 5 publications

(3 citation statements)

References 24 publications

(25 reference statements)

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“…Hyperchaotic attractors are defined as the simultaneous existence of two or more positive Lyapunov exponents in infinite time [22]. In the past few decades, the research on transient chaotic attractors, chaotic attractors, and hyperchaotic attractors has been fruitful [23][24][25]. 3) Double scroll/wing attractor, multi-scroll/wing attractor, and grid multi-scroll/wing attractor.…”

Section: Introductionmentioning

confidence: 99%

A novel grid multi-structure chaotic attractor and its application in medical image encryption

Hu,

Lin,

Wang

2023

Front. Phys.

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Grid multi-scroll/wing chaotic systems are complex non-linear dynamic systems, which are widely used in secure communication. The grid multi-scroll/wing chaotic systems are usually realized by using the function control method, which has a complex realization method, many control parameters, and a simple unit attractor structure. In this paper, based on the Hopfield neural network, a memristive Hopfield neural network model is proposed by using the memristor synapse control method. The model can generate novel grid multi-structure chaotic attractors, which have the characteristics of a simple implementation method, few control parameters, and complex unit attractor structure. Firstly, the generation mechanism of the grid multi-structure chaotic attractors is analyzed by the equilibrium points and stability. Secondly, its basic dynamical characteristics including the Lyapunov exponent spectrum, fractal dimension, time series, power spectrum, bifurcation diagram, and Poincaré section are analyzed. Thirdly, an analog circuit of the neural network model is designed and realized by Multisim. Finally, combined with the chaos encryption principle, an image encryption scheme is designed based on the generated grid multi-structure attractors. Experimental results show that compared with the existing schemes, the proposed scheme has larger information entropy, higher key sensitivity, and a good application prospect.

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Section: Introductionmentioning

confidence: 99%

A novel grid multi-structure chaotic attractor and its application in medical image encryption

Hu,

Lin,

Wang

2023

Front. Phys.

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“…Modeling of two-scroll hyperchaotic systems has attracted good research in the literature [21][22][23]. is research work reports the ndings of a new four-dimensional nonlinear dynamical system having two quadratic nonlinear terms and depicting a two-scroll hyperchaotic attractor.…”

Section: Introductionmentioning

confidence: 99%

A New Hyperchaotic Two‐Scroll System: Bifurcation Study, Multistability, Circuit Simulation, and FPGA Realization

Vaidyanathan

Sambas

Tlelo‐Cuautle

et al. 2022

Discrete Dynamics in Nature and Society

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With the swift advancement of chaos theory, the modeling, chaotic oscillations, and engineering applications of chaotic and hyperchaotic systems are important topics in research. In this research paper, we elucidate our findings of a new four-dimensional two-scroll hyperchaotic system having only two quadratic nonlinearities and carry out a detailed bifurcation study of the proposed dynamical model. Also, an electronic circuit has been constructed for the new system using MultiSim (Version 14). The implementation of the new 4-D hyperchaotic system in a field-programmable gate array (FPGA) is performed herein by applying two numerical methods, viz. Forward Euler Method and Trapezoidal Method. The experimental results show a good match with the simulated hyperchaotic attractors. We also provide details of the hardware resources used for an FPGA Basys 3 Xilinx Artix-7 XC7A35T-ICPG236C.

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“…Among the intriguing phenomena associated with chaotic systems is synchronization, where the dynamics of two chaotic systems, whether identical or non-identical, are coupled through appropriate control laws within finite time. Numerous synchronization schemes have been developed to facilitate this coupling, including adaptive control-based synchronization [18], adaptive hybrid synchronization [19], functional projective synchronization [20], and sliding mode control-based synchronization [21], [22], fuzzy synchronization [23], invariant ellipsoids method [24]. Each scheme serves specific purposes in different contexts and applications.…”

mentioning

confidence: 99%

Finite-Time Synchronization of the Rabinovich and Rabinovich-Fabrikant Chaotic Systems for Different Evolvable Parameters

Umoh,

Ma'arif,

Tola

et al. 2023

IJRCS

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This paper addresses the challenge of synchronizing the dynamics of two distinct 3D chaotic systems, specifically the Rabinovich and Rabinovich-Fabrikant systems, employing a finite-time synchronization approach. These chaotic systems exhibit diverse characteristics and evolving chaotic attractors, influenced by specific parameters and initial conditions. Our proposed low-cost finite-time synchronization method leverages the signum function's tracking properties to facilitate controlled coupling within a finite time frame. The design of finite-time control laws is rooted in Lyapunov stability criteria and lemmas. Numerical experiments conducted within the MATLAB simulation environment demonstrate the successful asymptotic synchronization of the master and slave systems within finite time. To assess the global robustness of our control scheme, we applied it across various system parameters and initial conditions. Remarkably, our results reveal consistent synchronization times and dynamics across these different scenarios. In summary, this study presents a finite-time synchronization solution for non-identical 3D chaotic systems, showcasing the potential for robust and reliable synchronization under varying conditions.

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Adaptive Synchronization for Hyperchaotic Liu System

Cited by 5 publications

References 24 publications

A novel grid multi-structure chaotic attractor and its application in medical image encryption

A novel grid multi-structure chaotic attractor and its application in medical image encryption

A New Hyperchaotic Two‐Scroll System: Bifurcation Study, Multistability, Circuit Simulation, and FPGA Realization

Finite-Time Synchronization of the Rabinovich and Rabinovich-Fabrikant Chaotic Systems for Different Evolvable Parameters

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