A generalized chaotic synchronization method for controlled T-system and Rucklidge system in secure communication is presented

A chaotic synchronization and secure communication technology, which is applied in the direction of secure communication, transmission system, and digital transmission system through chaotic signals, and 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 T system and a Rucklidge system for secure communication. The Rucklidge chaos system is used as the drive system, and a single input The controlled T 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 T-system and Rucklidge system in secure communication is presented
  • A generalized chaotic synchronization method for controlled T-system and Rucklidge system in secure communication is presented
  • A generalized chaotic synchronization method for controlled T-system and Rucklidge system in secure communication is presented

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[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 T 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 the generalized chaos 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 It is a state variable. In this system, when the positive real parameters α and β are known to be within a certain range, such as α=2 and β=7.7, the system presents chaotic characteristics.

[...

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Abstract

A generalized chaotic synchronization method for a controlled T-system and a Rucklidge system applied to secure communication comprises the following steps: 1) describing 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 chaoticsynchronization method of a controlled T system and a Rucklidge system applied to secure communication, with Taking Rucklidge system as driving system and single input controlled T system as responsesystem, a chaotic synchronization algorithm is designed by using Lie derivative method of vector field in differential geometry, which realizes generalized synchronization and high 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 Rucklidge chaos system as a drive system and a single-input controlled T 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 with a chaoti...

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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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