A generalized chaotic synchronization method of controlled Finance system and Chen system applied to secure communication

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, can solve the problems of not knowing the dynamic characteristics of chaotic signals and being unable to decrypt them

Inactive Publication Date: 2019-01-08
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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  • A generalized chaotic synchronization method of controlled Finance system and Chen system applied to secure communication
  • A generalized chaotic synchronization method of controlled Finance system and Chen system applied to secure communication
  • A generalized chaotic synchronization method of controlled Finance system and Chen system applied to secure communication

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Embodiment Construction

[0152] The present invention will be further described below in conjunction with the accompanying drawings.

[0153] refer to Figure 1 ~ Figure 4 , a generalized chaotic synchronization method for a controlled Finance system and a Chen system applied to secure communication, including the following steps:

[0154] 1) Generalized chaotic synchronization problem description

[0155] The driving system involved in the generalized chaotic synchronization technology is the Chen system. The Chen system was discovered by Professor Chen Guanrong at the University of Houston in the United States and proved that it cannot be topologically equivalent to the previously discovered chaotic systems such as the Lorenz system and the Rossler system. It is a brand new chaotic system. Attractor, its specific form is as follows:

[0156]

[0157] where x=(x 1 ,x 2 ,x 3 ) T Is state variable, a, b and c are known positive real number parameters, limit 2a-b≠0 in the present invention;

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Abstract

A generalized chaotic synchronization method of controlled Finance system and Chen system applied to secure communication is disclosed. The method comprises the following steps: 1) description of 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 thegeneralized chaotic synchronization method of the controlled Finance system and the Chen system applied to secure communication, a chaotic synchronization algorithm based on Lie derivative of vector field in differential geometry is designed, which is driven by Chen system and responded by controlled Finance system with single input. The generalized synchronization is realized and the control quality is 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 Chen chaos system as a drive system and a single-input controlled Finance 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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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 张端孙莹
Owner ZHEJIANG UNIV OF TECH
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