Generalized synchronization method of controlled Shimizu-Morioka system and Lu system applied to secret communication

A secure communication, generalized technology, applied in the field of chaotic synchronization, which can solve the problems of inability to decrypt, unaware of the dynamic characteristics of chaotic signals, etc.

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 of controlled Shimizu-Morioka system and Lu system applied to secret communication
  • Generalized synchronization method of controlled Shimizu-Morioka system and Lu system applied to secret communication
  • Generalized synchronization method of controlled Shimizu-Morioka system and Lu system applied to secret communication

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Embodiment Construction

[0149] The present invention will be further described below in conjunction with the accompanying drawings.

[0150] refer to Figure 1 ~ Figure 4 , a generalized synchronization method of a controlled Shimizu-Morioka system and a Lü system applied to secure communication, comprising the following steps:

[0151] 1) Generalized chaotic synchronization problem description

[0152] The driving system involved in the generalized chaotic synchronization technology is the Lü system. The Lü system was discovered by Mr. Lu Jinhu of the Chinese Academy of Sciences and proved that it cannot be topologically equivalent to the previously discovered chaotic systems such as the Lorenz system, Rossler system and Chen. It is a new chaotic attraction. Its specific form is as follows:

[0153]

[0154] where x=(x 1 ,x 2 ,x 3 ) T is a state variable, a, b and c are known positive real number parameters, and 2a-b≠0 is restricted in the present invention.

[0155] The Shimizu-Morioka sy...

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Abstract

The invention discloses a generalized synchronization method of a controlled Shimizu-Morioka system and a Lu system applied to secret communication. The method comprises the following steps: 1) generalized chaotic synchronization problem description; 2) state conversion and feedback of a response system; 3) state conversion of a driving system; and 4) generalized synchronization. The invention provides a generalized synchronization method of the controlled Shimizu-Morioka system and the Lu system applied to secret communication; the Lu system is used as the driving system, and the single-inputcontrolled Shimizu-Morioka system is a response system, a chaotic synchronization algorithm is designed by adopting a Lie derivative method of a vector field in differential geometry, the generalizedsynchronization is realized, 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 Lü chaos system as a drive system and a single-input controlled Shimizu-Morioka 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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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/12H04L9/00
CPCH04L9/12H04L9/001
Inventor 张端孙莹
Owner ZHEJIANG UNIV OF TECH
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