Via generalized function projective synchronization in nonlinear Schrödinger equation for secure communication

Zhao, Liuwei; Du, Jianguo; Yin, Jiuli

doi:10.1007/s12648-017-1146-4

Cited by 3 publications

(2 citation statements)

References 19 publications

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“…In recent years, several schemes based on generalized synchronization systems have been proposed, including pulse coupled synchronization [15], bidirectional generalized synchronization [16], generalized projective synchronization [17], fluctuating synchronization [18], memristor-based hyperchaotic synchronization [19] and phase synchronization [20]. They synthesize fractional order [21], [22], variable delay [23], [24], complex scaling function [25] and other mathematical theories [26].…”

Section: Introductionmentioning

confidence: 99%

“…(3) GCS system, in the GSC system, the drive systemẊ = F(X) and response systemẎ = G(Y,X m ) are related to the synchronization of V (Y ) functions, i.e., V 1= x 1 , V 2 = x 2 , V 3 = x 3 , V 4 = x 4, with the corresponding nonlinear circuit designs shown inFigures 28-31. The parameters of components in these circuits are calculated according to Eq (17). and the basic circuit principle.…”

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confidence: 99%

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Generalized Chaos Synchronization Circuit Simulation and Asymmetric Image Encryption

Zhang

Zhong

2019

IEEE Access

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Generalized chaos systems have more complex dynamic behavior than conventional chaos systems. If a generalized response system can be synchronized with a conventional drive system, the flexible control parameters and unpredictable synchronization state will increase significantly. The study first constructs a four-dimensional nonlinear dynamic equation with quadratic variables as a drive system. The numerical simulation and analyses of the Lyapunov exponent show that it is also a chaotic system. Based on the generalized chaos synchronization (GCS) theory, a four-dimensional diffeomorphism function is designed, and the corresponding GCS response system is generated. Simultaneously, the structural and synchronous circuits of information interaction and control are constructed with Multisim TM software, with the circuit simulation resulting in a good agreement with the numerical calculations. In order to verify the practical effect of generalized synchronization, an RGB digital image secure communication scheme is proposed. We confuse a 24-bit true color image with the designed GCS system, extend the original image to 48-bits, analyze the scheme security from keyspace, key sensitivity and non-symmetric identity authentication, classical types of attacks, and statistical average from the histogram, image correlation. The research results show that this GCS system is simple and feasible, and the encryption algorithm is closely related to the confidential information, which can resist the differential attack. The scheme is suitable to be applied in network images or other multimedia safe communications.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

Generalized Chaos Synchronization Circuit Simulation and Asymmetric Image Encryption

Zhang

Zhong

2019

IEEE Access

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N-Systems Function Projective Combination Synchronization—A Review of Real and Complex Continuous Time Chaos Synchronization

et al. 2019

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As an important branch in the field of chaos, chaos synchronization (CHS) has attracted great attentions since it was firstly proposed. In this review article, numerous types of continuous time CHS are presented for the past 29 years. Previous CHS are divided into two major parts: one is CHS in real number field, and the other is CHS in complex number field. Some classic types of CHS, controllers and corresponding stability theories are preliminarily reviewed. Besides, a new type of chaos synchronization is proposed, which is called N-systems combination function projective synchronization (NCOFPS). Interestingly and importantly, most of these proposed types of CHS belong to NCOFPS. Then, time delay function projective synchronization (TDFPS) is also proposed, which is one of the types of NCOFPS and never studied in existed papers. And TDFPS controller, corresponding mathematical proof are obtained and simulation experiments illustrate the effectiveness of investigated controller. This paper provides a generalized view to catch the development of CHS in different fields. Finally, we give the conclusions and prospects of CHS.

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Finite-time reduced order synchronization of uncertain chaotic systems with input nonlinearities via adaptive control

Luo

Chen

Zhang

et al. 2020

2020 39th Chinese Control Conference (CCC)

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Via generalized function projective synchronization in nonlinear Schrödinger equation for secure communication

Cited by 3 publications

References 19 publications

Generalized Chaos Synchronization Circuit Simulation and Asymmetric Image Encryption

Generalized Chaos Synchronization Circuit Simulation and Asymmetric Image Encryption

N-Systems Function Projective Combination Synchronization—A Review of Real and Complex Continuous Time Chaos Synchronization

Finite-time reduced order synchronization of uncertain chaotic systems with input nonlinearities via adaptive control

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