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

Guo, Junmei; Ma, Chunrui; Wang, Zuoxun; Zhang, Fangfang

doi:10.3390/e22111260

Cited by 5 publications

(2 citation statements)

References 38 publications

(54 reference statements)

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“…Therefore, Chen et al [31] improved Chua circuit using memristor and VOLUME 4, 2016 analyzed its hidden attractor by numerical and experimental methods. Besides, in classical chaotic systems, such as Chen system [32]- [36] , Lorenz system [37]- [39] and Lü system [40]- [42], scholars have also found the possibility of hidden attractor in these systems. Therefore, Lai et al [43] improved some classical chaotic systems, and found that coexistingattractors and hidden attractor exist for some parameter regions.…”

Section: Introductionmentioning

confidence: 99%

Dynamical Analysis of a New Chaotic System: Hidden Attractor, Coexisting-Attractors, Offset Boosting, and DSP Realization

et al. 2021

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In this paper, a new 5-D chaotic system with hidden attractor was presented. The stability and equilibrium points set of the system were analyzed by the traditional dynamical analysis method. Meanwhile, several special phenomena were found in the system, such as chaos degradation, state transition, multiwing chaotic attractors, coexisting-attractors etc. verifying the application of the system in engineering, offset boosting control method is introduced and numerical simulation of the system is implemented. In addition, the complexity of Spectral Entropy (SE) and C 0 are analyzed. Finally, the new system was simulated by the digital signal processing (DSP) technology, and the results agree well with the numerical simulation result. Theoretical analysis and simulation results show that the system has complex dynamical characteristics and can be applied to secure communication and image encryption.

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Section: Introductionmentioning

confidence: 99%

Dynamical Analysis of a New Chaotic System: Hidden Attractor, Coexisting-Attractors, Offset Boosting, and DSP Realization

et al. 2021

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“…Many researchers achieved the synchronization of the complex Lorenz system and other complex chaotic systems, and adopted them to develop the encryption technology. [14][15][16] From the above discussions, we propose a new communication scheme employing complex parameter modulation and the complex Lorenz system for underwater wireless communication network. We find that there exist large parameter space and parametric attractors in the complex Lorenz system.…”

Section: Introductionmentioning

confidence: 99%

Acoustic wireless communication based on parameter modulation and complex Lorenz chaotic systems with complex parameters and parametric attractors*

2021

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As the competition for marine resources is increasingly fierce, the security of underwater acoustic communication has attracted a great deal of attention. The information and location of the communicating platform can be leaked during the traditional underwater acoustic communication technology. According to the unique advantages of chaos communication, we put forward a novel communication scheme using complex parameter modulation and the complex Lorenz system. Firstly, we design a feedback controller and parameter update laws in a complex-variable form with rigorous mathematical proofs (while many previous references on the real-variable form were only special cases in which the imaginary part was zero), which can be realized in practical engineering; then we design a new communication scheme employing parameter modulation. The main parameter spaces of the complex Lorenz system are discussed, then they are adopted in our communication scheme. We also find that there exist parametric attractors in the complex Lorenz system. We make numerical simulations in two channels for digital signals and the simulations verify our conclusions.

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A New Hyperchaotic Complex System With Parametric Attractors

Zhang

Sun

et al. 2021

Fractals

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We propose a new hyperchaotic complex system. The hyperchaotic complex system has a distinctive chaotic attractor, which is called butterfly-like attractor. We find that the state of the system has a complex evolution process with the change of parameters, and the system will produce at least two kinds of attractors, which we call parametric attractors. We systematically study the mechanics, symmetry, dissipation, Lyapunov exponents and Poincaré maps of the hyperchaotic complex system. We extend the hyperchaotic complex system to fractional order, and discuss the influence of order and parameters’ change on fractional order new hyperchaotic system, and compare it with integer order. What is interesting is that there exist parametric attractors in both integer order and fractional order of the new system. Based on the integer order and fractional order, we further analyze the new hyperchaotic complex system of hybrid order, propose the definition of complex chaotic family and carry out mechanical analysis.

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

Cited by 5 publications

References 38 publications

Dynamical Analysis of a New Chaotic System: Hidden Attractor, Coexisting-Attractors, Offset Boosting, and DSP Realization

Dynamical Analysis of a New Chaotic System: Hidden Attractor, Coexisting-Attractors, Offset Boosting, and DSP Realization

Acoustic wireless communication based on parameter modulation and complex Lorenz chaotic systems with complex parameters and parametric attractors*

A New Hyperchaotic Complex System With Parametric Attractors

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