Controlled T system and Shimizu-Morioka system generalized chaotic synchronization method applied to secure communication
A technology for chaotic synchronization and secure communication, applied in secure communication, transmission systems, digital transmission systems through chaotic signals, etc.
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[0145] The present invention will be further described below in conjunction with the accompanying drawings.
[0146] refer to Figure 1 to Figure 4 , a generalized chaos synchronization method applied to a controlled T system and a Shimizu-Morioka system for secure communication, comprising the following steps:
[0147] 1) Generalized chaotic synchronization problem description
[0148] The driving system involved in the generalized chaotic synchronization technology is the Shimizu-Morioka system. This system was proposed by T.Shimizu and N.Moriok in 1980. People found that it has chaotic phenomena. This system has also been verified to be realized by circuit. Its specific form is as follows :
[0149]
[0150] where ξ=(ξ 1 ,ξ 2 ,ξ 3 ) T is a state variable, α and β are positive real numbers, for example, when α=0.75 and β=0.45, the system presents chaotic characteristics;
[0151] The T system was discovered by Gheorghe Tigan and others at the University of Timisoar...
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