A generalized chaotic synchronization method for controlled Rucklidge system and T system applied to secure communication

A chaotic synchronization and secure communication technology, applied in the direction of secure communication, transmission system, and digital transmission system through chaotic signals, it can solve the problems of not knowing the dynamic characteristics of chaotic signals and being unable to decrypt them

Inactive Publication Date: 2018-12-21
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...

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  • A generalized chaotic synchronization method for controlled Rucklidge system and T system applied to secure communication
  • A generalized chaotic synchronization method for controlled Rucklidge system and T system applied to secure communication
  • A generalized chaotic synchronization method for controlled Rucklidge system and T system applied to secure communication

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Embodiment Construction

[0147] The present invention will be further described below in conjunction with the accompanying drawings.

[0148] refer to Figure 1 ~ Figure 4 , a generalized chaos synchronization method for a controlled Rucklidge system and a T system applied to secure communication, including the following steps:

[0149] 1) Generalized chaotic synchronization problem description

[0150] The driving system involved in the generalized chaotic synchronization technology is the T system. The T system was discovered by Gheorghe Tigan and others at the University of Timisoara and proved that it cannot be topologically equivalent to the previously discovered chaotic systems such as the Lorenz system, Rossler system, and Chen system. It is a A brand new chaotic attractor, its specific form is as follows:

[0151]

[0152] where x=(x 1 ,x 2 ,x 3 ) T is a state variable, a, b and c are known positive real number parameters, and 2a-b≠0 is restricted in the present invention.

[0153] T...

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Abstract

A generalized chaotic synchronization method of a controlled Rucklidge system and a T system applied to secure communication, the method comprising the following steps: 1) description of a generalizedchaotic synchronization problem; 2) state transformation and feedback of the response system; 3) state transition of driving system; 4) generalized synchronization. The invention provides a generalized chaotic synchronization method of a controlled Rucklidge system and a T system applied to secure communication, a chaotic synchronization algorithm based on Lie derivative of vector field in differential geometry is designed for T-system and single-input controlled Rucklidge system. 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 using a T chaos system as a drive system and a single-input controlled Rucklidge 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...

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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