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A generalized chaotic synchronization method for controlled Lorenz system and Finance system applied to 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 the problems of not knowing the dynamic characteristics of chaotic signals and inability to decrypt.

Inactive Publication Date: 2018-12-18
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 for controlled Lorenz system and Finance system applied to secure communication
  • A generalized chaotic synchronization method for controlled Lorenz system and Finance system applied to secure communication
  • A generalized chaotic synchronization method for controlled Lorenz system and Finance system applied to secure communication

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Embodiment Construction

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

[0150] refer to Figure 1 ~ Figure 4 , a generalized chaos synchronization method applied to a controlled Lorenz system and a Finance system for secure communication, comprising the following steps:

[0151] 1) Generalized chaotic synchronization problem description

[0152] The driving system involved in the generalized chaotic synchronization technology is the Finance system. Although the establishment of this system is based on the mechanism relationship between interest rate, investment and economic growth, it can also serve for secure communication due to its chaotic motion characteristics, and it has become a part of secure communication technology. ring. There are two mutually convertible forms of the system (for how to convert, see Chao Ma, Xingyuan Wang. Hopf bifurcation and topological horseshoe of a novel finance chaotic system. Communications Nonlinear Sc...

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Abstract

A generalized chaotic synchronization method for controlled Lorenz system and Finance system applied to secure communication comprises 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 for controlled Lorenz system and Finance system applied to secure communication, the Finance chaotic system is a driving system and the single input controlled Lorenz system is a respondence system, a chaotic synchronization algorithm based on the Lie derivative of vector field in differential geometry is designed, 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 Finance chaos system as a drive system and a single-input controlled Lorenz 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 origi...

Claims

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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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