Generalized synchronization method for controlled Lorenz system and Genesio-Tesi system applied to secret communication
A secure communication and generalized technology, applied in the field of chaotic synchronization, which can solve the problems of not knowing the dynamic characteristics of chaotic signals and being unable to decrypt them.
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[0156] The present invention will be further described below in conjunction with the accompanying drawings.
[0157] refer to Figure 1 ~ Figure 4 , a generalized synchronization method of a controlled Lorenz system and a Genesio-Tesi system applied to secure communication, comprising the following steps:
[0158] 1) Generalized chaotic synchronization problem description
[0159] 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:
[0160]
[0161] 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....
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