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Generalized synchronization method for controlled Lorenz system and Genesio-Tesi system applied to secret communication

A secure communication and generalized technology, applied in the field of chaotic synchronization, which can solve the problems of not knowing the dynamic characteristics of chaotic signals and being unable to decrypt them.

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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  • Generalized synchronization method for controlled Lorenz system and Genesio-Tesi system applied to secret communication
  • Generalized synchronization method for controlled Lorenz system and Genesio-Tesi system applied to secret communication
  • Generalized synchronization method for controlled Lorenz system and Genesio-Tesi system applied to secret communication

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Embodiment Construction

[0156] The present invention will be further described below in conjunction with the accompanying drawings.

[0157] refer to Figure 1 ~ Figure 4 , a generalized synchronization method of a controlled Lorenz system and a Genesio-Tesi system applied to secure communication, comprising the following steps:

[0158] 1) Generalized chaotic synchronization problem description

[0159] The driving system involved in the generalized chaotic synchronization technology is the Genesio-Tesi system, which was first proposed in 1992 (Genesio R, Tesi A. Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems. Automatica 1992,28:531–548. ), it is found that it has a chaotic phenomenon, and this system has also been verified that it can be implemented in a circuit, and its specific form is as follows:

[0160]

[0161] where ξ=(ξ 1 ,ξ 2 ,ξ 3 ) T is the state variable, α, β and γ are known real parameters, select appropriate parameters, such as α=0.44, β=1....

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Abstract

The invention discloses a generalized chaotic synchronization method for a controlled Lorenz system and a Genesio-Tesi system applied to secret communication. The method comprises the following stepsof 1, describing a generalized chaotic synchronization problem; 2, converting and feeding back the state of a response system; 3, converting the state of a driving system; and 4, generalized synchronization. According to the generalized chaotic synchronization method for the controlled Lorenz system and the Genesio-Tesi system applied to secret communication provided by the invention, the Genesio-Tesi chaos system is used as the driving system, the controlled Lorenz system with a single input is used as the response system, a lie derivative method in a vector field in differential geometry isused for designing a chaotic synchronization algorithm, the generalized synchronization is achieved, 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 which uses a Genesio-Tesi chaos system as a drive system and a single-input controlled Lorenz 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 ...

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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