Controlled Shimizu-Morioka system and Lorenz system generalized synchronization method for encryption and decryption

An encryption and decryption technology in a broad sense, applied in the transmission system, digital transmission system, synchronous sending/receiving encryption equipment, etc., can solve the problems of being unable to decrypt, not knowing the dynamic characteristics of chaotic signals, etc.

Inactive Publication Date: 2019-02-15
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 se

Method used

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  • Controlled Shimizu-Morioka system and Lorenz system generalized synchronization method for encryption and decryption
  • Controlled Shimizu-Morioka system and Lorenz system generalized synchronization method for encryption and decryption
  • Controlled Shimizu-Morioka system and Lorenz system generalized synchronization method for encryption and decryption

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Embodiment Construction

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

[0149] refer to Figure 1 to Figure 4 , a controlled Shimizu-Morioka system and Lorenz system generalized synchronization method for encryption and decryption, comprising the following steps:

[0150] 1) Generalized chaotic synchronization problem description

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

[0152]

[0153] 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;

[0154] The Shimizu-Morioka system was proposed by T.Shimizu and N.Moriok in 1980. People found that it has a chaotic phenomenon. This system has also been verified that it can be impleme...

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Abstract

The invention discloses a controlled Shimizu-Morioka system and Lorenz system generalized synchronization method for encryption and decryption. The method comprises the following steps: 1) generalizedchaotic synchronization problem description; 2) state transformation and feedback of a response system; 3) state conversion of a driving system; and 4) generalized synchronization. The invention provides a generalized chaotic synchronization method applied to a controlled Shimizu-Morioka system and a Lorenz system of secret communication, the Lorenz system is used as the driving system, and single-input controlled Shimizu-Morioka system is used as the response system, and a chaotic synchronization algorithm is designed by adopting Lie derivative method of a vector field in differential geometry, the generalized synchronization is realized, and the control quality is relatively 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 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, 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 original sign...

Claims

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Application Information

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IPC IPC(8): H04L9/00H04L9/12
CPCH04L9/001H04L9/12
Inventor 张端孙莹
Owner ZHEJIANG UNIV OF TECH
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