N-涡卷超混沌吸引子的同步

首先采用Lyapunov稳定性理论证明了可以用三变量反馈实现两个N-涡卷超混沌系统的同步;然后将反馈控制与小波变换相结合,即此时发端系统的发送信号不是直接被发送,而是进行小波变换去掉细节信息,重构后再发送到收端,收端将该接收信号作为反馈信号,也可以使两个N-涡卷超混沌系统达到同步。仿真实验证明了上述结论并进一步表明,对部分吸引子,用一个信号经小波滤波后的结果作为反馈变量就能实现同步。在相关文献的基础上,减少了反馈变量数,节约了信道资源;同时,传送信号由于高频成分被滤出而成为非完整的混沌信号,不仅进一步节约了信道资源,系统的保密性也得到提高。

Synchronization of N-Scroll Hyperchaotic Attractors

First,the conclusion that the synchronization of two N-scroll hyperchaotic attractors can be realized by using 3 varia- bles' feedback is proved based on Lyapunov stability theory;then,combining the feedback control and wavelet transform,i.e.,in the transmitter,the original signals are not sent directly into the channel,but transformed using wavelet,the detailed components are removed and the low frequency components are reconstructed and then sent into the channel,the receiver uses the received signals as feedback variables,the synchronization of two systems can also be realized.Computer simulation has proved the upper conclusions and further in- dicates that as to some attractors,using the result of one signal filtered by wavelet as the feedback variable can realize the synchroniza- tion.Compared with the relevant materials,The channel resources are saved out of the decrease of the number of the feedback variables; meanwhile,the transmitting signals are not whole chaotic signals out of the removal of high frequency parts,the channel resources are further saved,the performance of security of the system is also improved.