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Generalized synchronization method of controlled Chen system and Rucklidge 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: 2019-03-01
ZHEJIANG UNIV OF TECH
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Problems solved by technology

[0013] In order to overcome the disadvantages of poor control quality of the existing generalized chaos synchronization method, the present invention provides a generalized chaos synchronization method applied to a controlled Chen system and a Rucklidge system for secure communication. The input controlled Chen 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 synchronization method of controlled Chen system and Rucklidge system applied to secret communication
  • Generalized synchronization method of controlled Chen system and Rucklidge system applied to secret communication
  • Generalized synchronization method of controlled Chen system and Rucklidge system applied to secret communication

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Embodiment Construction

[0143] The present invention will be further described below in conjunction with the accompanying drawings.

[0144] refer to Figure 1 to Figure 4 , a generalized chaos synchronization method applied to a controlled Chen system and a Rucklidge system for secure communication, said method comprising the following steps:

[0145] 1) Generalized chaotic synchronization problem description

[0146] The driving system involved in the generalized chaos synchronization technology is the Rucklidge system proposed in 1992. This system was originally used to study the two-dimensional convection problem of solutes, and it was found to have chaotic phenomena; this system has also been verified to be realized by circuits, and its specific form is as follows :

[0147]

[0148] where ξ=(ξ 1 ,ξ 2 ,ξ 3 ) T It is a state variable. In this system, when the positive real parameters α and β are known to be within a certain range, such as α=2 and β=7.7, the system presents chaotic charac...

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Abstract

The invention discloses a generalized synchronization method of a controlled Chen system and a Rucklidge system applied to secret communication. The method comprises the following steps: 1) generalized chaotic synchronization problem description; 2) state conversion and feedback of a response system; 3) state conversion of a driving system; and 4) generalized synchronization. The invention provides a generalized synchronization method of the controlled Chen system and the Rucklidge system applied to secret communication; the Rucklidge chaotic system is used as the driving system, and the single-input controlled Chen system is used as the response system; a chaotic synchronization algorithm is designed by adopting a Lie derivative method of a vector field in differential geometry, the generalized synchronization is realized, and the control quality is relatively high.

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 Rucklidge chaos system as a drive system and a single-input controlled Chen 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, interdisciplinary branch of disciplines; it has greatly broadened people's understanding of nonlinear 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 signal with a...

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Application Information

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IPC IPC(8): H04L9/00H04L9/12
CPCH04L9/12H04L9/001
Inventor 张端孙莹
Owner ZHEJIANG UNIV OF TECH
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