Rucklidge系统的同步及其在保密通讯中的应用

Synchronization of Rucklidge system and its application in secure communication

分析Rucklidge系统的稳定性,采用非线性反馈的方法构造了一个同步系统.用Lyapunov方法从理论上证明了误差系统的零点稳定性,在Matlab上进行了数值仿真,给出了系统的同步误差图,结果表明驱动系统和响应系统能够很好地达到同步.对系统的第二变量y(t)进行扰动,数值仿真表明在扰动下系统仍能很好地同步,说明同步系统具有抗干扰性.然后把该同步系统应用到保密通讯中,信息信号m(t)和混沌变量y(t)相加成为混沌传输信号s(t),在接收端信息信号被有效地复原出来,数值仿真结果表明通信方案是可行有效的.

The stability of Rucklidge system is discussed and a nonlinear feedback synchronization approach for the chaotic Rucklidge system is presented. The validity of this synchronous method is proved theoretically with Lyapunov second method. A simulalion is conducted with Matlab to prove synchronous validity and anti-interference ability of the method. Finally the method is applied to secret communication. The simulation results indicate that the communication scheme is feasible and effective.