中文摘要：

通过定义和一个构造性引理并且借助一个适当的Lyapunov函数和最优化理论,研究了一个发电机混沌系统的全局指数吸引集得到了四维椭球估计。将所得到的结果应用到混沌同步之中去,数值模拟验证了同步理论的可行性。

英文摘要：

The globally exponentially attractive sets of a disk dynamo system are investigated via constructing a Lyapunov function and by definition and optimization theorem.For this system,a four-dimensional ellipsoidal globally exponentially attractive set is derived.The result is applied to the chaos synchronization.Numerical simulations are presented to show the effectiveness of the proposed scheme.