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Generalized synchronization method for controlled Chen system and Shimizu-Morioka system applied to secure communication

A secure communication technology in a broad sense, applied in the field of chaotic synchronization, can solve problems such as being unable to decrypt, not knowing the dynamic characteristics of chaotic signals, etc.

Inactive Publication Date: 2018-12-18
ZHEJIANG UNIV OF TECH
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Problems solved by technology

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 chaotic signal and send it together; while the receiver demodulates and separates the the original signal; the third party cannot decrypt it because it does not know the dynamic characteristics of the chaotic signal

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  • Generalized synchronization method for controlled Chen system and Shimizu-Morioka system applied to secure communication
  • Generalized synchronization method for controlled Chen system and Shimizu-Morioka system applied to secure communication
  • Generalized synchronization method for controlled Chen system and Shimizu-Morioka system applied to secure communication

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Embodiment Construction

[0145] The present invention will be further described below in conjunction with the accompanying drawings.

[0146] refer to Figure 1 to Figure 4 , a generalized synchronization method between a controlled Chen system and a Shimizu-Morioka system applied to secure communication, comprising the following steps:

[0147] 1) Generalized chaotic synchronization problem description

[0148] The driving system involved in the generalized chaotic synchronization technology is the Shimizu-Morioka system. This system was proposed by T.Shimizu and N.Moriok in 1980. People found that it has chaotic phenomena. This system has also been verified to be realized by circuit. Its specific form is as follows :

[0149]

[0150] where ξ=(ξ 1 ,ξ 2 ,ξ 3 ) T is a state variable, α and β are positive real numbers, for example, when α=0.75 and β=0.45, the system presents chaotic characteristics.

[0151] The Chen system was discovered by Professor Chen Guanrong at the University of Housto...

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Abstract

A Generalized synchronization method for controlled Chen system and Shimizu-Morioka system applied to secure communication comprises that follow steps: 1) describing the generalized chaotic synchronization problem; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) Generalized synchronization. The invention provides the Generalized synchronization method for controlled Chen system and Shimizu-Morioka system applied to secure communication, the Shimizu-Morioka chaotic system is a driving system, and the controlled Chen system with single inputis a response system, A chaotic synchronization algorithm is designed by using Lie derivative method of vector field in differential geometry, which realizes generalized synchronization and has highcontrol 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 Shimizu-Morioka 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, 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 orig...

Claims

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Application Information

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