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

Liu, Juan; Cheng, Xue‐Feng; Zhou, Ping

doi:10.1155/2021/6771261

Cited by 3 publications

(3 citation statements)

References 28 publications

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“…is assumed to be Hurwitz. (17) Since the trajectories of the master system are bounded, the term ḡ(t, ẽ) can be regarded as a perturbation that will vanish on e if it satisfies ( )…”

Section: Synchronization Scheme Based On Ameliorated Dynamic Controlmentioning

confidence: 99%

See 1 more Smart Citation

Circuit Implementation of Chaos Synchronization Based on Advanced Ameliorated Dynamic Control

Chiu¹,

Lu²,

Tseng³

et al. 2023

Sensors and Materials

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In this paper, Lü-like chaotic systems, which failed to achieve chaos synchronization via a general dynamic control scheme, were chosen for the circuit implementation of chaos synchronization based on our proposed advanced ameliorated dynamic control, which combined two controllers involving different variables into one controller. This not only simplified the controller but also reduced the number of electronic components. Experimental results show that our proposed advanced ameliorated dynamic control is feasible and effective and can be applied to chaos synchronization sensors.

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“…is assumed to be Hurwitz. (17) Since the trajectories of the master system are bounded, the term ḡ(t, ẽ) can be regarded as a perturbation that will vanish on e if it satisfies ( )…”

Section: Synchronization Scheme Based On Ameliorated Dynamic Controlmentioning

confidence: 99%

“…Moreover, the applications of this concept have been explored in a wide range of fields, such as secure communication (15,16) and electronic circuit design. (17,18) In 1998, static feedback control, which successfully synchronized many systems, was proposed. However, this approach failed as systems became increasingly complicated.…”

Section: Introductionmentioning

confidence: 99%

Circuit Implementation of Chaos Synchronization Based on Advanced Ameliorated Dynamic Control

Chiu¹,

Lu²,

Tseng³

et al. 2023

Sensors and Materials

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show abstract

“…Since Rŏssler discovered the first hyperchaotic system 1 in 1979, the evolution of hyperchaotic systems [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] from discovery to application has encompassed multiple stages, including theoretical research, numerical simulation, experimental validation, and application exploration. Initially, researchers extended and improved chaotic systems to derive hyperchaotic system [3][4][5][6][11][12][13][14][15][16][17] models with higher dimensions and more complex dynamics. Subsequently, numerical simulation methods such as MATLAB were employed to conduct in-depth analyses of the dynamic characteristics of hyperchaotic systems, including Lyapunov exponents' spectrum and bifurcation diagrams.…”

Section: Introductionmentioning

confidence: 99%

A new hyperchaotic system with dynamical analysis and its application in image encryption based on STM32

Cheng,

Zhu,

Liu

2023

Preprint

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This paper proposes a new 4D hyperchaotic system based on a modified 3D Lorenz chaotic system. The stability of equilibrium points in this hyperchaotic system is analyzed, with a notable feature being the presence of only one equilibrium point. Subsequently, dynamic characteristics of the new system, such as Lyapunov exponents' spectrum, bifurcation diagram, and chaotic attractors, are analyzed using MATLAB numerical simulation software. The numerical analysis indicates that the hyperchaotic system exhibits hyperchaotic characteristics over a wide range of parameterdvalues, and its chaotic attractor manifests four states: hyperchaotic, chaotic, periodic, and quasi-periodic. This illustrates the complex dynamic behavior of the hyperchaotic system. Experimental validation is then conducted using embedded hardware STM32, reproducing the four types of chaotic attractors observed in numerical analysis and confirming the accuracy of theoretical analysis. The proposed new hyperchaotic system is deemed effective and reliable. Finally, the system is applied to image encryption, presenting a novel encryption method based on the hyperchaotic system. The designed hyperchaotic encryption sequence satisfies 15 tests of the NIST SP800-22 standard, and experimental verification using STM32 demonstrates the effectiveness, simplicity, non-linearity, and high security of the proposed image encryption algorithm. This method can be extended to applications such as audio encryption, image encryption, video encryption, and other fields.

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Dynamical Analysis of a 3D Fractional-Order Chaotic System for High-Security Communication and its Electronic Circuit Implementation

Beyene,

Rahma,

Rajagopal

et al. 2023

J Nonlinear Math Phys

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This article, a 3D fractional-order chaotic system (FOCS) is designed; system holds Equilibria can take on various shapes and forms by introducing a nonlinear function and the value of its parameters. To comprehend the system’s behavior under diverse conditions and parameter values, a dynamical analysis is conducted through analytical and numerical means. This analysis employs techniques like phase portraits, Lyapunov exponents (LEs), bifurcation analysis, and Lyapunov spectra. The system demonstrates attractors that are more intricate compared to a regular chaotic system with an integer value, specifically if we set the fractional order q to 0.97. This characteristic makes it highly appropriate for developing secure communication systems. Moreover, a practical implementation has been developed using an electronic circuit to showcase its feasibility of the system. A secure communication system was built using two levels of encryption techniques. The propose sound encryption algorithm is verified through tests like histogram, correlation, and spectrogram investigation. The encryption correlation coefficient between the original signal and the encrypted one is 0.0010, this result shows a strong defences against pirate attacks.

show abstract

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

Cited by 3 publications

References 28 publications

Circuit Implementation of Chaos Synchronization Based on Advanced Ameliorated Dynamic Control

Circuit Implementation of Chaos Synchronization Based on Advanced Ameliorated Dynamic Control

A new hyperchaotic system with dynamical analysis and its application in image encryption based on STM32

Dynamical Analysis of a 3D Fractional-Order Chaotic System for High-Security Communication and its Electronic Circuit Implementation

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