Discrete-time chaotic systems synchronization based on vector norms approach

Gam, Rihab; Sakly, Anis

doi:10.1007/s11424-017-5267-9

Cited by 5 publications

(3 citation statements)

References 25 publications

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“…In 2017, Megherbi et al studied the pulse synchronization problem of fractional-order discrete-time chaotic systems [18]. Gam et al extended the stability conditions of continuous chaotic systems to discrete chaotic systems [19]. Ouannas et al studied the problem of reliable universal synchronization between two coupled chaotic discrete systems [20].…”

Section: Et Al Proposed Amentioning

confidence: 99%

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A New Matrix Projective Synchronization and Its Application in Secure Communication

Yan

Ding

2019

IEEE Access

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In this paper, a new matrix projective synchronization for chaotic (hyperchaotic) maps is proposed. The novel scheme called P-M synchronization is presented in this paper, since it combines two matrix projective synchronization schemes (one is based on the invertible matrix P, and the other is based on matrix M). Compared to the regular matrix projection synchronization, the required matrix of the proposed scheme don't change with different master systems. Under the framework of classical Lyapunov stability theory, a state feedback controller is selected to realize global synchronization. In addition, simulation results are reported, to highlight the capabilities of the P-M synchronization proposed in this paper. Finally, a speech secure communication scheme based on the P-M synchronization is implemented, implying the P-M synchronization can be applied into secure communication filed.

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Section: Et Al Proposed Amentioning

confidence: 99%

“…If the state feedback controller U is selected as in equation 4along with equation (5). Then, the matrix F 2 yields error system (19), and with eigenvalues of the matrix (E − F 2 ) controlled in the unit disk.…”

Section: B Synchronization Of Chaotic Maps With Different Dimensionsmentioning

confidence: 99%

A New Matrix Projective Synchronization and Its Application in Secure Communication

Yan

Ding

2019

IEEE Access

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“…Butusov investigated the synchronization of digital and analog Rössler chaotic systems [20]. Gam et al performed the generalization of the stabilization conditions of continuous chaotic systems to discrete chaotic systems and investigated correlation-based synchronization using state feedback and aggregation techniques [21]. Ouannas developed a general nonlinear control method applicable to the synchronization of power systems with discrete time sequences and performed synchronization based on an active control method and the Lyapunov stability theory [22].…”

Section: Introductionmentioning

confidence: 99%

An Error Control-Blended New Design for an Inverse Discrete Chaotic Synchronization System

Xing

Yan

Zhang

et al. 2023

Preprint

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Discrete chaotic synchronization is crucial in secure communication. Studies on the design of a discrete chaotic system mainly depend on the system. Some discrete chaotic systems cannot synchronize as required. In this study, we proposed a new algorithm blended with error control for designing an inverse discrete chaotic synchronization system. Based on the eigenvalues of the synchronization error system, the coefficient matrix of the discrete chaotic system was inversely controlled for precisely controlling the positive Lyapunov exponents in the system. The results indicated that the error control-blended inverse discrete chaotic synchronization system had good chaotic characteristics and high reliability and flexibility.

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Modified RSA Encryption Algorithm Based on Chaos and Its Application in Voice Encryption System

Wang¹,

Tan²

2018

2018 14th International Conference on Computational Intelligence and Security (CIS)

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Discrete-time chaotic systems synchronization based on vector norms approach

Cited by 5 publications

References 25 publications

A New Matrix Projective Synchronization and Its Application in Secure Communication

A New Matrix Projective Synchronization and Its Application in Secure Communication

An Error Control-Blended New Design for an Inverse Discrete Chaotic Synchronization System

Modified RSA Encryption Algorithm Based on Chaos and Its Application in Voice Encryption System

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