Communication scheme using a hyperchaotic semiconductor laser model: Chaos shift key revisited

Fataf, N. A. A.; Palit, Sanjay Kumar; Mukherjee, Sayan; Said, Mohamad Rushdan Md.; Son, Doan Hoai

doi:10.1140/epjp/i2017-11786-y

Cited by 14 publications

(6 citation statements)

References 37 publications

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“…In 1963, Lorenz proposed the Lorenz system [11], which was also the first chaotic system. Since then, physics, biology and economics have all studied chaos [12][13][14][15][16][17][18]. Moreover, the application of chaotic system in communication encryption [19], signal processing [20], neural network [21,22] and other engineering fields has also attracted extensive attention.…”

Section: Introductionmentioning

confidence: 99%

Multi-scroll fractional-order chaotic system and finite-time synchronization

Yan¹,

Wang²,

Wang³

et al. 2022

Phys. Scr.

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The definition of fractional calculus is introduced into the 5D chaotic system, and the 5D fractional-order chaotic system is obtained. The new 5D fractional-order chaotic system has no equilibrium, multi-scroll hidden attractor and multi-stability. By analyzing the time-domain waveform, phase diagram, bifurcation diagram and complexity, it is found that the system has no equilibrium but is very sensitive to parameters and initial values. With the variation of different parameters, the system can produce attractors of different scroll types accompanied by bursting oscillation. Secondly, the multi-stability of the hidden attractor is studied. Different initial values lead to the coexistence of attractors of different scroll number, which shows the advantages of the system. The correctness and realizability of the fractional-order chaotic system are proved by analog circuit and physical implement. Finally, because of the high security of multi-scroll attractor and hidden attractor, finite-time synchronization based on the fractional-order chaotic system is studied, which has a good application prospect in the field of secure communication.

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Section: Introductionmentioning

confidence: 99%

Multi-scroll fractional-order chaotic system and finite-time synchronization

Yan¹,

Wang²,

Wang³

et al. 2022

Phys. Scr.

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“…In the last two decades, some interesting highdimensional hyperchaotic systems, in science and engineering, have been explored and their dynamics have been extensively investigated [18,24,27,28,34,35]. In fact, it is of great importance from theoretical and practical aspects to explain complicated phenomena and internal structural characteristics of hyperchaotic systems.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Dynamic Analysis and Circuit Implementation of a New 4D Lorenz‐Type Hyperchaotic System

Al-khedhairi

Elsonbaty

Kader

et al. 2019

Mathematical Problems in Engineering

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This paper attempts to further extend the results of dynamical analysis carried out on a recent 4D Lorenz-type hyperchaotic system while exploring new analytical results concerns its local and global dynamics. In particular, the equilibrium points of the system along with solution’s continuous dependence on initial conditions are examined. Then, a detailed Z2 symmetrical Bogdanov-Takens bifurcation analysis of the hyperchaotic system is performed. Also, the possible first integrals and global invariant surfaces which exist in system’s phase space are analytically found. Theoretical results reveal the rich dynamics and the complexity of system behavior. Finally, numerical simulations and a proposed circuit implementation of the hyperchaotic system are provided to validate the present analytical study of the system.

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“…It consists of a state feedback controller and a robust control that use Fourier series expansion to compensate for uncertainty. In (Fataf et al , 2017), Fataf N A A, et al proposed a five-dimensional ODE system based on the Maxwell-Bloch equation to describe the dynamics of semiconductor lasers. In (Li and Wu, 2019), Li R G and Wu H N studied the signal confidential communication process based on the delayed synchronization of two different fractional-order chaotic systems under uncertainty.…”

Section: Introductionmentioning

confidence: 99%

Design of 9-D global chaotic system and its application in secure communication

Liu

Wang

et al. 2021

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Purpose In this paper, a nine-dimensional chaotic system is designed and applied to secure communication. Design/methodology/approach Firstly, the equilibrium characteristics, dissipativity, bifurcation diagram and Lyapunov exponent spectrum are used to analyze the relevant characteristics of the proposed nine-dimensional chaotic system. In the analysis of Lyapunov exponential spectrum, when changing the linear parameters, the system shows two states, hyperchaos and chaos. For secure communication, there is a large secret key space. Secondly, C0 complexity and SEcomplexity of the system are analyzed, which shows that the system has sequences closer to random sequences. Findings The proposed nine-dimensional system has a large key space and more complex dynamic characteristics Originality/value The results show that the proposed nine-dimensional hyperchaotic system has excellent encryption capabilities and can play an important role in the field of secure communication.

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Communication scheme using a hyperchaotic semiconductor laser model: Chaos shift key revisited

Cited by 14 publications

References 37 publications

Multi-scroll fractional-order chaotic system and finite-time synchronization

Multi-scroll fractional-order chaotic system and finite-time synchronization

Dynamic Analysis and Circuit Implementation of a New 4D Lorenz‐Type Hyperchaotic System

Design of 9-D global chaotic system and its application in secure communication

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