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.
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[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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