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A generalized chaotic synchronization method for controlled Rucklidge system and Lu system in secure communication

A technology of chaotic synchronization and secure communication, applied in secure communication, transmission system, digital transmission system through chaotic signals, etc., can solve problems such as poor control quality

Inactive Publication Date: 2018-12-21
ZHEJIANG UNIV OF TECH
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Problems solved by technology

[0013] In order to overcome the disadvantages of poor control quality of the existing generalized chaos synchronization method, the present invention provides a generalized chaos synchronization method applied to a controlled Rucklidge system and a Lü system for secure communication. The Lü system is used as the drive system and the single input The controlled Rucklidge system is the response system, and a chaotic synchronization algorithm is designed by using the Lie derivative method of the vector field in differential geometry to achieve generalized synchronization and high control quality

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  • A generalized chaotic synchronization method for controlled Rucklidge system and Lu system in secure communication
  • A generalized chaotic synchronization method for controlled Rucklidge system and Lu system in secure communication
  • A generalized chaotic synchronization method for controlled Rucklidge system and Lu system in secure communication

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

[0150] refer to Figure 1 ~ Figure 4 , a generalized chaotic synchronization method for a controlled Rucklidge system and a Lü system applied to secure communication, including 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 Rucklidge system...

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Abstract

A generalized chaotic synchronization method of a controlled Rucklidge system and a Lu system in secure communication is provided, the method comprising the following steps: 1) description of a generalized chaotic synchronization problem; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) generalized synchronization. The invention provides a generalized chaotic synchronization method of a controlled Rucklidge system and an Lu system in secure communication, a chaotic synchronization algorithm based on Lie derivative of vector field in differential geometry is adopted by taking Lu system as driving system and single input controlled Rucklidge system as response system. The generalized synchronization is realized and the control quality ishigh.

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 Rucklidge 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 origina...

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Application Information

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IPC IPC(8): H04L9/12H04L9/00
CPCH04L9/001H04L9/12
Inventor 张端孙莹
Owner ZHEJIANG UNIV OF TECH
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