A generalized chaotic synchronization method of controlled Chen system and Genesio-Tesi system applied to secure 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, can solve the problems of not knowing the dynamic characteristics of chaotic signals and being unable to decrypt them

Inactive Publication Date: 2019-01-08
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 se

Method used

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  • A generalized chaotic synchronization method of controlled Chen system and Genesio-Tesi system applied to secure communication
  • A generalized chaotic synchronization method of controlled Chen system and Genesio-Tesi system applied to secure communication
  • A generalized chaotic synchronization method of controlled Chen system and Genesio-Tesi system applied to secure communication

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Embodiment Construction

[0155] The present invention will be further described below in conjunction with the accompanying drawings.

[0156] refer to Figure 1 to Figure 4 , a generalized chaotic synchronization method for a controlled Chen system and a Genesio-Tesi system applied to secure communication, including the following steps:

[0157] 1) Generalized chaotic synchronization problem description

[0158] 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:

[0159]

[0160] 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=0.4...

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Abstract

The invention discloses a generalized chaotic synchronization method of a controlled Chen system and a Genesio-Tesi system applied to secure communication. The method comprises the following steps: 1)describing the problem of generalized chaotic synchronization; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) Generalized synchronization. Theinvention provides the generalized chaotic synchronization method of the controlled Chen system and the Genesio-Tesi system applied to secure communication. The Genesio-Tesi chaotic system is a driving system and the controlled Chen system with single input is a response system. A chaotic synchronization algorithm is designed by using Lie derivative method of vector field in differential geometry.The generalized synchronization is realized and the control quality is 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 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 or...

Claims

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Application Information

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