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Generalized chaotic synchronization method for controlled Genesio-Tesi system and T system applied to 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: 2019-01-04
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 chaotic synchronization method for controlled Genesio-Tesi system and T system applied to secure communication
  • Generalized chaotic synchronization method for controlled Genesio-Tesi system and T system applied to secure communication
  • Generalized chaotic synchronization method for controlled Genesio-Tesi system and T system applied to secure communication

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Embodiment Construction

[0154] The present invention will be further described below in conjunction with the accompanying drawings.

[0155] refer to Figure 1 to Figure 4 , a generalized chaos synchronization method applied to a controlled Genesio-Tesi system and a T system for secure communication, comprising the following steps:

[0156] 1) Generalized chaotic synchronization problem description

[0157] The driving system involved in the generalized chaotic synchronization technology is the T system. The T system was discovered by Gheorghe Tigan and others at the University of Timisoara and proved that it cannot be topologically equivalent to the previously discovered chaotic systems such as the Lorenz system, Rossler system, and Chen system. It is a A brand new chaotic attractor, its specific form is as follows:

[0158]

[0159] where x=(x 1 ,x 2 ,x 3 ) T Is state variable, a, b and c are known positive real number parameters, limit 2a-b≠0 in the present invention;

[0160] The Genesi...

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Abstract

Disclosed is a generalized chaotic synchronization method for a controlled Genesio-Tesi system and a T system applied to secure communication. The method includes the following steps: 1) generalized chaotic synchronization problem description; 2) state transformation and feedback of the response system; 3) state conversion of the driving system; and 4) generalized synchronization. The generalizedchaotic synchronization method for the controlled Genesio-Tesi system and the T system applied to the secure communication provided by the invention uses the T system as the driving system and uses the single-input controlled Genesio-Tesi system as the response system. A chaotic synchronization algorithm is designed by using a Lie derivative method of a vector field in differential geometry to realize the generalized synchronization, which is high in control 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 T chaos system as a drive system and a single-input controlled Genesio-Tesi 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 original s...

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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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