A generalized chaotic synchronization method for controlled Lu system and Genesio-Tesi system in secure communication

A chaotic synchronization and secure communication technology, applied in the direction of secure communication, transmission system, and digital transmission system through chaotic signals, it can solve the problems of not knowing the dynamic characteristics of chaotic signals and being unable to decrypt them

Inactive Publication Date: 2018-12-21
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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  • A generalized chaotic synchronization method for controlled Lu system and Genesio-Tesi system in secure communication
  • A generalized chaotic synchronization method for controlled Lu system and Genesio-Tesi system in secure communication
  • A generalized chaotic synchronization method for controlled Lu system and Genesio-Tesi system in secure communication

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Embodiment Construction

[0153] The present invention will be further described below in conjunction with the drawings.

[0154] Reference Figure 1 ~ Figure 4 , A generalized chaotic synchronization method of controlled Lü system and Genesio-Tesi system applied to secure communication, including the following steps:

[0155] 1) Description of generalized chaotic synchronization problem

[0156] 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 chaoticdynamics in nonlinear systems. Automatica 1992, 28: 531-548. ), it is found that it has a chaotic phenomenon, this system has also been verified that it can be implemented in a circuit, and its specific form is as follows:

[0157]

[0158] Where ξ=(ξ 1 ,ξ 2 ,ξ 3 ) T Are state variables. α, β, and γ are known real number parameters. Choose appropriate parameters. For example, when α=0.44, β=1.1, and γ=1, th...

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Abstract

A generalized chaotic synchronization method for controlled Lu system and Genesio-Tesi system in secure communication is provided.The system comprises the following steps: 1) describing the problem ofgeneralized chaotic synchronization; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) generalized synchronization. The invention provides generalized chaotic synchronization method for controlled Lu system and Genesio-Tesi system in secure communication. The method takes Genesio-Tesi chaotic system as a driving system and single input controlled Lu system as a response system. Using Lie derivative method of vector field in differential geometry, a chaotic synchronization algorithm is designed, which realizes generalized synchronization andhas high control quality.

Description

Technical field [0001] The invention belongs to the technical field of chaotic synchronization applicable to secure communication, and particularly relates to a chaotic synchronization method that uses a Genesio-Tesi chaotic system as a driving system and a single-input controlled Lü system as a response system. Background technique [0002] Chaotic motion is a branch of the nonlinear subject field, but the scope of its involvement has greatly exceeded the boundaries of the traditional nonlinear subject field. It has developed into a comprehensive, intersecting, and cross-field subject branch, which has greatly broadened people's understanding of nonlinearity. From a scientific perspective, we have a deeper understanding of nonlinear science. [0003] Chaos is also used in laser secure communication. A typical application is chaotic modulation. Chaotic modulation is a method proposed by Halle and Hasler in 1992 to solve complex problems in secret communication. The basic idea is ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/12H04L9/00
CPCH04L9/001H04L9/12Y02D30/50
Inventor 张端孙莹
Owner ZHEJIANG UNIV OF TECH
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