Dynamical analysis, circuit implementation, and simultaneous application of a novel four-dimensional hyperchaotic system based on cosine functions

Zhang, Jie; Hou, Jinyou; Xu, Longhao; Zhu, Xing; Xie, Qinggang

doi:10.1016/j.mee.2023.111939

Cited by 6 publications

(6 citation statements)

References 28 publications

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“…If we modify (24) with the adaptation law given in (15) and the control law given in (17), we obtain (25):…”

Section: Adaptive Observer Based Synchronization Of the Proposed Hype...mentioning

confidence: 99%

“…Circuit simulations of hyperchaotic systems facilitate real-world exploration and analysis of their dynamics, validating theoretical models and providing insights into system behavior under different conditions [12,13]. The implementation of hyperchaotic systems in circuits offers practical applications in secure communications, random number generation and nonlinear dynamics research [14,15].…”

Section: Introductionmentioning

confidence: 99%

“…This synchronization has been used in secure communication applications. Zhang et al [15] proposed a 4dimensional hyperchaotic system based on cosine function. The authors have demonstrated the dynamic analysis and synchronization of the new system.…”

Section: Introductionmentioning

confidence: 99%

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Synchronization and Application of a Novel Hyperchaotic System Based on Adaptive Observers

Ozpolat,

Gulten

2024

Applied Sciences

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This paper explores the synchronization and implementation of a novel hyperchaotic system using an adaptive observer. Hyperchaotic systems, known for possessing a greater number of positive Lyapunov exponents compared to chaotic systems, present unique challenges and opportunities in control and synchronization. In this study, we introduce a novel hyperchaotic system, thoroughly examining its dynamic properties and conducting a comprehensive phase space analysis. The proposed hyperchaotic system undergoes validation through circuit simulation to confirm its behavior. Introducing an adaptive observer synchronization technique, we successfully synchronize the dynamics of the novel hyperchaotic system with an identical counterpart. Importantly, we extend the application of this synchronization method to the domain of secure communication, showcasing its practical usage. Simulation outcomes validate the effectiveness of our methodology, demonstrating favorable results in the realm of adaptive observer-based synchronization. This research contributes significantly to the understanding and application of hyperchaotic systems, offering insights into both the theoretical aspects and practical implementation. Our findings suggest potential advancements in the field of chaotic systems, particularly in their applications within secure communication systems. By presenting motivations, methods, results, conclusions and the significance of our work in a more appealing manner, we aim to engage readers and highlight the innovative contributions of this study.

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“…If we modify (24) with the adaptation law given in (15) and the control law given in (17), we obtain (25):…”

Section: Adaptive Observer Based Synchronization Of the Proposed Hype...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Synchronization and Application of a Novel Hyperchaotic System Based on Adaptive Observers

Ozpolat,

Gulten

2024

Applied Sciences

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“…in the parameter space is obtained by simulation, as shown in Figure 13. As can be seen from Figure 13, the complexity is mainly concentrated between The complexity of the system proposed in this study is compared with the literature [32][33][34][35], and the results are shown in Table 4. Therefore, the four-dimensional chaotic system of system four has the highest complexity and has a greater advantage in practical more complex encryption environments.…”

Section: Complexity Analysismentioning

confidence: 99%

Research on Variable Parameter Color Image Encryption Based on Five-Dimensional Tri-Valued Memristor Chaotic System

Wang,

Ding

2024

Entropy

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To construct a chaotic system with complex characteristics and to improve the security of image data, a five-dimensional tri-valued memristor chaotic system with high complexity is innovatively constructed. Firstly, a pressure-controlled tri-valued memristor on Liu’s pseudo-four-wing chaotic system is introduced. Through analytical methods, such as Lyapunov exponential map, bifurcation map and attractor phase diagram, it is demonstrated that the new system has rich dynamical behaviors with periodic limit rings varying with the coupling parameter of the system, variable airfoil phenomenon as well as transient chaotic phenomenon of chaos-periodic depending on the system parameter and chaos-quasi-periodic depending on the memristor parameter. The system is simulated with dynamic circuits based on Simulink. Secondly, the differently structured synchronous controls of chaotic systems are realized using a nonlinear feedback control method. Finally, based on the newly constructed five-dimensional chaotic system, a variable parameter color image encryption scheme is proposed to iteratively generate varying chaotic pseudo-random sequences by varying the system parameters, which will be used for repetition-free disambiguation, additive modulo left-shift diffusion and DNA encryption for the three components of RGB of the color image after chunking. The simulation results are analyzed by histogram, information entropy, adjacent pixel correlation, etc., and the images are tested using differential attack, noise attack and geometric attack, as well as analyzing the PSNR and SSIM of the decrypted image quality. The results show that the encryption method has a certain degree of security and can be applied to medical, military and financial fields with more complex environmental requirements.

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“…Hyperchaotic systems can offer richer and more complicated dynamical behaviors in the application of chaotic image encryption since they are more complex in comparison to that of general chaotic systems. A new hyperchaotic system on the basis of the cosine function was proposed by Zhang et al [13], which is characterized by disorder, complexity and rich dynamics, and has a stronger anti-jamming ability. These studies have shown that the hyperchaotic system is more complex and attack-resistant compared to ordinary chaos, making it good fit for use in chaotic image encryption.…”

Section: Introductionmentioning

confidence: 99%

Cross-channel image encryption algorithm on the basis of a conservative hyperchaotic system

Zhao,

Sun,

Sun

et al. 2024

Phys. Scr.

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In image encryption, the traditional encryption means of scrambling and diffusion are widely used, but they fail to completely eliminate the correlation between the channels of the ciphertext image and still exist security risks. The selecting channel and position scrambling and cross-channel S-shaped diffusion methods proposed in this study push the encryption to a new depth. Compared with ordinary methods, it is more thorough in disrupting pixel positions, increases the complexity of pixel relationships between different channels, and substantially improves the unpredictability of encryption. To support this approach, we design a four-dimensional conservative hyperchaotic system with a very large hyperchaotic interval, which combines the high randomness of the conservative system and the broad key-space property of the hyperchaotic system, effectively defending against the risk of phase-space reconstruction aroused by missing attractors and reducing the possibility of being cracked. We deeply analyze the dynamic properties of the system by means of phase diagrams, bifurcation diagrams and Lyapunov exponents. The cross-channel scrambling and diffusion encryption algorithm designed based on this system not only ensures the security of image information during transmission, but also greatly enhances the ability to resist various attacks. The proposal of this method undoubtedly brings a secure solution to the field of image encryption.

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Dynamical analysis, circuit implementation, and simultaneous application of a novel four-dimensional hyperchaotic system based on cosine functions

Cited by 6 publications

References 28 publications

Synchronization and Application of a Novel Hyperchaotic System Based on Adaptive Observers

Synchronization and Application of a Novel Hyperchaotic System Based on Adaptive Observers

Research on Variable Parameter Color Image Encryption Based on Five-Dimensional Tri-Valued Memristor Chaotic System

Cross-channel image encryption algorithm on the basis of a conservative hyperchaotic system

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