Generalized synchronization method of controlled Shimizu-Morioka system and Chen system for secret communication
A secure communication technology in a broad sense, applied in the field of chaotic synchronization, can solve the problems of not knowing the dynamic characteristics of chaotic signals and being unable to decrypt them
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[0148] The present invention will be further described below in conjunction with the accompanying drawings.
[0149] refer to Figure 1 ~ Figure 4 , a generalized synchronization method between a controlled Shimizu-Morioka system and a Chen system applied to secure communication, comprising the following steps:
[0150] 1) Generalized chaotic synchronization problem description
[0151] The driving system involved in the generalized chaotic synchronization technology is the Chen system. The Chen system was discovered by Professor Chen Guanrong at the University of Houston in the United States and proved that it cannot be topologically equivalent to the previously discovered chaotic systems such as the Lorenz system and the Rossler system. It is a brand new chaotic system. Attractor, 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...
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