统一混沌系统的投影同步性质与控制研究

Exploring Possibility of Utilizing Projective Synchronization in Underwater Chaotic Secure Communication

针对统一混沌系统中出现的一种新的同步现象(投影同步),采用状态变量反馈控制法,在相当大的范围内可以对投影同步比例因子进行任意控制。理论分析和仿真结果表明,该同步控制方法简单灵活,控制系统响应速度快,投影同步精度高。通过研究信道噪声和系统参数失配对投影同步的影响发现,参数失配带来的影响远大于信道噪声产生的影响,这一性质可以应用于混沌保密通信领域。

Refs. 5 and 6 apphed projective synchronization technique to radio chaotic secure communication, we aim to explore the possibility of applying projective synchronization technique to underwater chaotic secure communication. In underwater chaotic secure communication, the effect of channel noise and parameter mismatch is important, it may or may not allow the utilization of projective synchronization technique. In the full paper, we describe our exploration in details in this abstract, we just give the four topics we discuss in the full paper： （1） the model for MLCL （Modified Lorenz-Chen-Lu system） chaotic system; （2） the analysis of projective synchronization of MLCL chaotic system; （3） the control of projective synchronization of MI.CI. chaotic system; （4） the effect of channel noise and parameter mismatch on control of projective synchronization. We give a numerical example in which numerical results for such effect are given for a=0.5,1,2,3,4,5,6,7 and 8, where a is a ratio factor explained in the full paper. The errors of projective synchronization for a=2 are; （1） 0. 005 4, 0. 002 5,0. 000 59 for SNR= 10, 20 and 30 respectively;（2） 0. 021 5 and 0. 004 1 for parameter mismatch of 5% and 1% respectively; The effect of channel noise and parameter mismatch on control of projective synchronization of MLCL chaotic system can be kept under control when SNR≥10 and parameter mismatch is less or equal to 5M, and projective synchronization can be utilized in underwater chaotic communication.