基于稳定性理论,针对SQCF系统和SCCF系统提出了两种不同系统之间的混沌同步控制策略:一是选取一正定的李亚普诺夫函数,基于李亚普诺夫直接法求出混沌同步的控制量,从而使两个不同的系统达到混沌同步;二是运用激活控制法实现两个不同系统的混沌同步.这两种方法均适用于一般的混沌系统,并用Mathematica软件给出了数值模拟.理论分析及仿真结果都表明该方法可以较快地实现不同系统之间的混沌同步.
Two control strategies are proposed based on the stability theory for synchronizing two different chaotic systems. Taking SQCF system and SCCF system for example, the first is based on Lyapunov's direct method by choosing a positive definite Lyapunov function. The second is using active control. These two methods can be used for common chaotic systems. The Mathematica software is used for simulation. Theoretical analysis and simulation result show that with the help of these control strategies, the two different chaotic systems can be synchronized effectively.