A generalized chaotic synchronization method for controlled Rucklidge system and Lorenz system applied to secure communication is presented

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 Rucklidge system and a Lorenz system for secure communication, with the Lorenz system as the driving system and a 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 Lorenz system applied to secure communication is presented
  • A generalized chaotic synchronization method for controlled Rucklidge system and Lorenz system applied to secure communication is presented
  • A generalized chaotic synchronization method for controlled Rucklidge system and Lorenz system applied to secure communication is presented

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[0148] The present invention will be further described below in conjunction with the drawings.

[0149] Reference Figure 1 ~ Figure 4 , A generalized chaotic synchronization method of controlled Rucklidge system and Lorenz system applied to secure communication, including the following steps:

[0150] 1) Description of generalized chaotic synchronization problem

[0151] The driving system involved in the generalized chaotic synchronization technology is the Lorenz system, which is considered to be the first dynamic system that makes people realize the existence of chaotic phenomena. The specific form is as follows:

[0152]

[0153] Where x=(x 1 ,x 2 ,x 3 ) T Are state variables, and a, b, and c are known positive real parameters. The present invention restricts 2a-b≠0.

[0154] The Rucklidge system was proposed in 1992. The system was originally used to study the two-dimensional convection problem of solutes. It was found that it has chaotic phenomena. This system has also been verif...

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Abstract

A generalized chaotic synchronization method of a controlled Rucklidge system and a Lorenz system applied to secure communicationcomprises the following steps: 1) description of the 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 Rucklidge system and a Lorenz system applied to secure communication, with Taking Lorenz system as driving system and single input controlled Rucklidge system as response system, 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 chaotic synchronization applicable to secure communication, and particularly relates to a chaotic synchronization method that uses a Lorenz chaotic system as a driving system and a single-input controlled Rucklidge system as a response system. Background technique [0002] Chaotic motion is a branch of the nonlinear subject field, but the scope of its involvement has greatly exceeded the boundaries of the traditional nonlinear subject field. It has developed into a comprehensive, intersecting, and cross-field subject branch, which has greatly broadened people's understanding of nonlinearity. From a scientific perspective, we have a deeper understanding of nonlinear science. [0003] Chaos is also used in laser secure communication. A typical application is chaotic modulation. Chaotic modulation is a method proposed by Halle and Hasler in 1992 to solve complex problems in secret communication. The basic idea is...

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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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