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Controlled Lorenz system and Shimizu-Morioka system generalized chaotic synchronization method for encryption and decryption

An encryption and decryption technology in a broad sense, applied in transmission systems, digital transmission systems, synchronous sending/receiving encryption equipment, etc., can solve the problems of not knowing the dynamic characteristics of chaotic signals and being unable to decrypt

Inactive Publication Date: 2019-03-01
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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  • Controlled Lorenz system and Shimizu-Morioka system generalized chaotic synchronization method for encryption and decryption
  • Controlled Lorenz system and Shimizu-Morioka system generalized chaotic synchronization method for encryption and decryption
  • Controlled Lorenz system and Shimizu-Morioka system generalized chaotic synchronization method for encryption and decryption

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Embodiment Construction

[0146] The present invention will be further described below in conjunction with the accompanying drawings.

[0147] refer to Figure 1 to Figure 4 , a controlled Lorenz system and Shimizu-Morioka system generalized synchronization method for encryption and decryption, comprising the following steps:

[0148] 1) Generalized chaotic synchronization problem description

[0149] 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 circuit-realizable. Its specific form is as follows :

[0150]

[0151] where ξ=(ξ 1 ,ξ 2 ,ξ 3 ) T is a state variable, α and β are positive real parameters, for example, when α=0.75 and β=0.45, the system presents chaotic characteristics.

[0152] The Lorenz system is considered to be the first dynamical system that allows people to recogniz...

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Abstract

The invention discloses a controlled Lorenz system and Shimizu-Morioka system generalized chaotic synchronization method for encryption and decryption. The method comprises the following steps of 1),describing a generalized chaotic synchronization problem; 2), carrying out state conversion and feedback of a response system; 3), carrying out state conversion of a drive system; and 4), carrying outgeneralized synchronization. According to the controlled Shimizu-Morioka system and Lorenz system generalized chaotic synchronization method applied to secure communication provided by the invention,a Shimizu-Morioka chaotic system is taken as the drive system, a single-input controlled Lorenz system is taken as the response system, a chaotic synchronization algorithm is designed through adoption of a Lie derivative for a vector field in differential geometry, the generalized synchronization is realized, and control quality is relatively high.

Description

technical field [0001] The invention belongs to the technical field of chaotic synchronization applicable to secure communication, and in particular relates to a chaotic synchronization method for realizing a Shimizu-Morioka chaotic system as a driving system and a single-input controlled Lorenz system as a response system. Background technique [0002] Chaos 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, and cross-domain discipline branch, which has greatly broadened people's understanding of nonlinearity. From the perspective of science, the understanding of nonlinear science is more profound. [0003] Chaos has also been applied to laser secure communications. A typical application is chaotic modulation. Chaotic modulation is a method proposed by Halle and Hasler in 1992 to solve the complex problems in secret communication. The o...

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Application Information

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