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Generalized chaos synchronization method of controlled Rucklidge system and Chen system applied to secret communication

A chaotic synchronization and secure communication technology, which is applied in the direction of secure communication, transmission system, and digital transmission system through chaotic signals, and can solve problems such as poor control quality

Inactive Publication Date: 2019-01-11
ZHEJIANG UNIV OF TECH
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Problems solved by technology

[0013] In order to overcome the shortcomings of the poor control quality of the existing generalized chaos synchronization method, the present invention provides a generalized chaos synchronization method applied to the controlled Rucklidge system and Chen system in secure communication, with the Chen system as the driving system and the single input The controlled Rucklidge system is the response system, and a chaotic synchronization algorithm is designed by using the Lie derivative method of the vector field in differential geometry to achieve generalized synchronization and high control quality

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  • Generalized chaos synchronization method of controlled Rucklidge system and Chen system applied to secret communication
  • Generalized chaos synchronization method of controlled Rucklidge system and Chen system applied to secret communication
  • Generalized chaos synchronization method of controlled Rucklidge system and Chen system applied to secret communication

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Embodiment Construction

[0148] The present invention will be further described below in conjunction with the accompanying drawings.

[0149] refer to Figure 1 ~ Figure 4 , a generalized chaos synchronization method for a controlled Rucklidge system and a Chen system applied to secure communication, including the following steps:

[0150] 1) Generalized chaotic synchronization problem description

[0151] The driving system involved in the generalized chaotic synchronization technology is the Chen system. The Chen system was discovered by Professor Chen Guanrong at the University of Houston in the United States and proved that it cannot be topologically equivalent to the previously discovered chaotic systems such as the Lorenz system and the Rossler system. It is a brand new chaotic system. Attractor, the specific form is as follows:

[0152]

[0153] where x=(x 1 ,x 2 ,x 3 ) T is a state variable, a, b and c are known positive real number parameters, and 2a-b≠0 is restricted in the present ...

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Abstract

The present invention provides a generalized chaos synchronization method of a controlled Rucklidge system and a Chen system applied to secret communication. The method comprises the following steps of: 1) generalized chaos synchronization problem description; 2) state conversion and feedback of a response system; 3) state transition of a drive system; and 4) generalized synchronization. The method provided by the invention takes the Chen system as a drive system and takes the single-input controlled Rucklidge system as a response system to design a chaos synchronization algorithm through adoption of a lie derivative method of a vector field in the differential geometry so as to achieve generalized synchronization and high control quality.

Description

technical field [0001] The invention belongs to the technical field of chaos synchronization applicable to secure communication, and in particular relates to a chaos synchronization method using a Chen chaos system as a drive system and a single-input controlled Rucklidge system as a response system. Background technique [0002] Chaotic motion is a branch of nonlinear disciplines, but its scope has greatly exceeded the boundaries of traditional nonlinear disciplines, and has developed into a comprehensive, cross-cutting, cross-disciplinary branch of disciplines, which greatly broadens people's understanding of nonlinear disciplines. The horizon of science has a deeper understanding of nonlinear science. [0003] Chaos has also been applied to laser secure communication. A typical application is chaotic modulation. Chaotic modulation is a way to solve complex problems in secret communication proposed by Halle and Hasler in 1992. The basic idea is to modulate the original s...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00H04L9/12
CPCH04L9/001H04L9/12
Inventor 张端孙莹
Owner ZHEJIANG UNIV OF TECH
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