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A generalized chaotic synchronization method for controlled L ue system and Rucklidge 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: 2018-12-18
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 Lü system and a Rucklidge system for secure communication. The Rucklidge chaos system is used as the drive system, and a single input The controlled Lü 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 L ue system and Rucklidge system in secure communication
  • A generalized chaotic synchronization method for controlled L ue system and Rucklidge system in secure communication
  • A generalized chaotic synchronization method for controlled L ue system and Rucklidge system in secure communication

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Embodiment Construction

[0145] The present invention will be further described below in conjunction with the accompanying drawings.

[0146] refer to Figure 1 ~ Figure 4 , a generalized chaotic synchronization method for a controlled Lü system and a Rucklidge system applied to secure communication, including the following steps:

[0147] 1) Generalized chaotic synchronization problem description

[0148] The driving system involved in generalized chaotic synchronization technology is the Rucklidge system proposed in 1992. This system was originally used to study the two-dimensional convection problem of solutes, and it was found to have chaotic phenomena; this system has also been verified to be realized by circuits, and its specific form is as follows :

[0149]

[0150] where ξ=(ξ 1 ,ξ 2 ,ξ 3 ) T Is the state variable, α and β are positive real numbers, such as α=2 and β=7.7, the system presents chaotic characteristics.

[0151] The Lü system was discovered by Lu Jinhu, who was at the Ch...

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Abstract

A generalized chaotic synchronization method for a controlled Lue system and a Rucklidge system applied to secure communication, 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 the generalized chaotic synchronization method of a controlled Lue system and a Rucklidge system applied to secure communication, A chaotic synchronization algorithm based on Lie derivative of vector field indifferential geometry is designed, which takes Rucklidge system as the driving system and single input controlled Lue system as the response system. The generalized synchronization is realized and the control quality is high.

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 synchronization method which uses a Rucklidge chaotic system as a drive system and a single-input controlled Lü 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, interdisciplinary branch of disciplines. It has greatly broadened people's understanding of nonlinear science, and they have 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 signal wi...

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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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