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Differential geometry method for chaotic self-synchronization of Lorenz systems applied to secure communications

A differential geometry, secure communication technology, applied in secure communication through chaotic signals, transmission systems, digital transmission systems, etc., can solve the problems of not knowing the dynamic characteristics of chaotic signals and inability to decrypt

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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  • Differential geometry method for chaotic self-synchronization of Lorenz systems applied to secure communications
  • Differential geometry method for chaotic self-synchronization of Lorenz systems applied to secure communications
  • Differential geometry method for chaotic self-synchronization of Lorenz systems applied to secure communications

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Embodiment Construction

[0129] The present invention will be further described below in conjunction with the accompanying drawings.

[0130] refer to Figure 1 ~ Figure 4 , a differential geometry method for chaotic self-synchronization of a Lorenz system applied to secure communication, comprising the following steps:

[0131] 1) Lorenz chaotic self-synchronization problem description

[0132] The driving system involved in the chaotic synchronization technology is the Lorenz system. In 1963, the meteorologist E.N. Lorenz found that chaos appeared in the deterministic equation when studying weather forecasting. The specific form of the equation is as follows:

[0133]

[0134] where ξ=(ξ 1 ,ξ 2 ,ξ 3 ) T Is the state variable, a, b and c are known positive real number parameters, when these parameters within a certain range system (1) will go out chaos, such as a=10, b=8 / 3 and c=28, in the present invention Constraint 2a-b≠0.

[0135] Taking the controlled Lorenz system as the response syst...

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Abstract

A differential geometry method for chaotic self-synchronization of Lorenz system applied to secure communication is disclosed.The method comprises the following steps, 1)descriptioin of Lorenz chaoticself-synchronization; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) synchronization. That invention provide a description of Lorenz chaotic self-synchronization problem, taking Lorenz chaotic system as a driving system and single-input control Lorenz system as a response system, and adopting Lie derivative method of vector field in differential geometry to design a chaotic self-synchronization method with high control quality.

Description

technical field [0001] The invention belongs to the technical field of hybrid synchronization applicable to secure communication, and in particular relates to a chaotic self-synchronization method using a Lorenz chaotic 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 o...

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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