LQR Chaos Synchronization for a Novel Memristor-Based Hyperchaotic Oscillator

Fu, Qifeng; Xu, Xuemei; Xiao, Chuwen

doi:10.3390/math11010011

Cited by 3 publications

(3 citation statements)

References 48 publications

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“…Synchronous control is the key to achieving confidential communication and has important applications in the fields of communication, secure transmission and information processing [12][13][14]. In 2019, Yu Fei et al achieved synchronization between five-dimensional memristor hyperchaotic systems with different structures by actively controlling the synchronization and successfully applied it in the field of confidential communication [15].…”

Section: Introductionmentioning

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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Section: Introductionmentioning

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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“…Recent research studies show the application of hyperchaotic systems in several engineering areas such as robotics, 1 memristors, 2–4 neural networks, 5,6 encryption, 7,8 and circuits 9,10 . In the hyperchaos literature, there is also a significant interest in developing hyperchaotic systems with no rest points, as such systems are known to possess hidden attractors 11–13 …”

Section: Introductionmentioning

confidence: 99%

A new 4‐D hyperchaotic two‐scroll system with hidden attractor and its field‐programmable gate array implementation

Vaidyanathan,

Benkouider,

Ovilla‐Martinez

et al. 2023

Circuit Theory & Apps

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SummaryThis research work reports the finding of a new 4‐D hyperchaotic two‐scroll system having three second‐order nonlinear terms. It is detailed that the system does not have any rest point for non‐zero values of the system parameters. Thus, we deduce that the new hyperchaotic system has a hidden attractor. The main findings of the new hyperchaotic system include a detailed bifurcation analysis, coexisting attractors, and offset‐boosting control. The new 4‐D hyperchaotic two‐scroll system with hidden attractor is prototyped using the field‐programmable gate array (FPGA) Zybo Z7‐20 development board, Xilinx Vivado tool, and the hardware description by VHDL. It is highlighted that the simulation of the circuit design, and the experimental results from the FPGA synthesis, all of them are in good agreement with theoretical simulations.

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“…The Linear Quadratic Regulator (LQR) is a widely used technique for chaotic system synchronization [16], [17]. LQR facilitates synchronization between master and slave chaotic systems, aligning the slave's behavior with the desired master behavior, pivotal for reliable and secure communication [18], [19].…”

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confidence: 99%

NeuroChaosCrypt: Revolutionizing Chaotic-Based Cryptosystem With Artificial Neural Networks—A Comparison With Traditional Cryptosystems

Bonny,

Al Nassan

2024

IEEE Access

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Encryption systems play a vital role in the transfer of sensitive data, and the integration of chaotic systems into this domain has garnered significant attention. However, these systems often grapple with complexity and insufficient security, posing challenges for real-world implementation. Researchers introduced the synchronization techniques to fix these problems, which means making sure that the chaotic systems in bothe the transmitter and receiver systems behave in a way that can be understood so that accurate signal recovery can happen. Chaotic system synchronisation presents challenges and security risks besides the limited of the encryption keys make them subjected to attacks. Because of their advantages over traditional chaotic systems in terms of flexibility, adaptability, and computational efficiency, artificial neural networks, or ANNs, are being used more and more to study chaotic systems. This paper presents NeuroChaosCrypt, a novel cryptographic framework employing unique methodologies for secure data transmission. It utilizes an Artificial Neural Network (ANN)-based chaotic system at both transmitter and receiver, eliminating the need for synchronization. A comprehensive case study, including audio signal transmission, underscores NeuroChaosCrypt's efficacy. Comparison with a traditional encryption system integrating a Linear Quadratic Regulator (LQR) controller reveals comparable security levels, correlation coefficient (cc), Signal-to-Noise Ratio (SNR), Peak-to-Root Mean Square Distortion (PRD), and encryption time. NeuroChaosCrypt, enhanced by ANNs, excels in decryption speed, key-space coverage, and hardware implementation using field-programmable gate arrays (FPGAs). This methodology achieves a higher maximum frequency while requiring fewer logic units. The comparison offers valuable insights into audio encryption methods, aiding informed decision-making for selecting the most suitable solution based on specific application requirements. Finally, we introduce an application of the proposed NeuroChaosCrypt for image encryption to ensure that thr study can exploit other data types for broader applicability.

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LQR Chaos Synchronization for a Novel Memristor-Based Hyperchaotic Oscillator

Cited by 3 publications

References 48 publications

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

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

A new 4‐D hyperchaotic two‐scroll system with hidden attractor and its field‐programmable gate array implementation

NeuroChaosCrypt: Revolutionizing Chaotic-Based Cryptosystem With Artificial Neural Networks—A Comparison With Traditional Cryptosystems

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