Dynamic Analysis of a One-Parameter Chaotic System in Complex Field

Zhao, Xiu; Liu, Jian; Liu, Hongjun; Zhang, Fangfang

doi:10.1109/access.2020.2968226

Cited by 19 publications

(6 citation statements)

References 37 publications

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“…Chaos has inherent randomness and ergodicity [34,35]. It allows the chaotic search to be programmed and traverses every state in a certain search region, while every state is visited only once.…”

Section: Chaotic Searchmentioning

confidence: 99%

Improved Chaotic Quantum-Behaved Particle Swarm Optimization Algorithm for Fuzzy Neural Network and Its Application

Peng

Lei

Yang

et al. 2020

Mathematical Problems in Engineering

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Traditional fuzzy neural network has certain drawbacks such as long computation time, slow convergence rate, and premature convergence. To overcome these disadvantages, an improved quantum-behaved particle swarm optimization algorithm is proposed as the learning algorithm. In this algorithm, a new chaotic search is introduced, and benchmark function experiments prove it outperforms the other five existing algorithms. Finally, the proposed algorithm is presented as the learning algorithm for Takagi-Sugeno fuzzy neural network to form a new neural network, and it is utilized in the water quality evaluation of Dongjiang Lake of Hunan province. Simulation results demonstrated the effectiveness of the new neural network.

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Section: Chaotic Searchmentioning

confidence: 99%

Improved Chaotic Quantum-Behaved Particle Swarm Optimization Algorithm for Fuzzy Neural Network and Its Application

Peng

Lei

Yang

et al. 2020

Mathematical Problems in Engineering

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“…Time-delay system:

where

represent the complex state variables and

is the time-delay factor vector. When there exists a controller v ,

where x(t) and y(t) represent self-time-delay synchronization [ 27 , 28 , 29 , 30 , 31 ].…”

Section: Stds Of a Complex Lü Systemmentioning

confidence: 99%

Time-Delay Characteristics of Complex Lü System and Its Application in Speech Communication

Guo

Wang

et al. 2020

Entropy

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Although complex Lü systems have been considered in many studies, application of the self-time-delay synchronization (STDS) of complex Lü systems in secure speech communications does not appear to have been covered in much of the literature. Therefore, it is meaningful to study the STDS of complex Lü systems and its application in secure speech communication. First, a complex Lü system with double time-delay is introduced and its chaotic characteristics are analyzed. Second, a synchronization controller is designed to achieve STDS. Third, the improved STDS controller is used to design a speech communication scheme based on a complex Lü system. Finally, the effectiveness of the controller and communication scheme are verified by simulation.

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“…In 1963, Lorenz [2] proposed the concept of chaos theory. Since then, scholars began to study various chaotic models, such as continuous chaotic system [3][4][5], discrete chaotic system [6,7], complex chaotic system [8][9][10], time-delay chaotic system [11,12] and fractional chaotic system [13][14][15]. Due to the unpredictability, ergodicity and extremely sensitivity to initial conditions of chaotic system [16], it is eminently suitable for chaotic cryptography.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of a fractional-order hyperchaotic system and its application in image encryption

Shi¹,

An²,

Yang³

et al. 2022

Phys. Scr.

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Compared with integer order chaotic systems, fractional order chaotic systems can reflect natural phenomena more accurately, which are more suitable for chaotic cryptosystems. In order to explore the application of fractional order chaotic system in cryptography, a novel fractional order hyperchaotic system is constructed and implemented on DSP platform. More progressively, based on Adomian decomposition method, the dynamic behavior is studied by phase diagram, bifurcation diagram, Lyapunov exponent spectrum and spectral entropy (SE) complexity. It is found that each parameter and order have a large range of intervals that can keep the system in a hyperchaotic state. Therefore, the hyperchaotic sequences generated by the constructed fractional order hyperchaotic system have sufficient randomness and are well suited for applications in secure communications. In addition, a color image encryption scheme is designed based on the fractional order hyperchaotic system and DNA dynamic coding. Firstly, the improved Arnold algorithm is used to scramble the original image, then the column cyclic shift method is applied for secondary scrambling, and finally the pixel value is diffused by DNA sequence operation. The security analysis results indicate that the designed encryption algorithm can not only encrypt images effectively, but also has high security and can resist various common attacks.

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Dynamic Analysis of a One-Parameter Chaotic System in Complex Field

Cited by 19 publications

References 37 publications

Improved Chaotic Quantum-Behaved Particle Swarm Optimization Algorithm for Fuzzy Neural Network and Its Application

Improved Chaotic Quantum-Behaved Particle Swarm Optimization Algorithm for Fuzzy Neural Network and Its Application

Time-Delay Characteristics of Complex Lü System and Its Application in Speech Communication

Dynamic analysis of a fractional-order hyperchaotic system and its application in image encryption

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