Generalized synchronization method for controlled Rucklidge system and Genesio-Tesi system for encryption and decryption
An encryption and decryption technology in a broad sense. It is used in transmission systems, digital transmission systems, and synchronous sending/receiving encryption equipment. It can solve the problems of not knowing the dynamic characteristics of chaotic signals and inability to decrypt them.
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[0110] The present invention will be further described below in conjunction with the accompanying drawings.
[0111] refer to Figure 1 ~ Figure 4 , a controlled Rucklidge system and Genesio-Tesi system generalized synchronization method for encryption and decryption, comprising the following steps:
[0112] 1) Generalized chaotic synchronization problem description
[0113] The driving system involved in the generalized chaotic synchronization technology is the Genesio-Tesi system, which was first proposed in 1992 (Genesio R, Tesi A. Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems. Automatica 1992,28:531–548. ), it is found that it has a chaotic phenomenon, and this system has also been verified that it can be implemented in a circuit, and its specific form is as follows:
[0114]
[0115] where ξ=(ξ 1 ,ξ 2 ,ξ 3 ) T is the state variable, α, β and γ are known real parameters, select appropriate parameters, such as α=0.44, β=1.1, γ=1...
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