中文摘要：

混沌系统的全局指数吸引集在混沌的控制和同步之中起着非常重要的作用。给出了一个三维混沌系统的动力系统模型,借助一个适当的Lyapunov函数和最优化理论,研究了这个新混沌系统的全局指数吸引集,得到了它的全局指数吸引集估计。通过计算机模拟,数值模拟验证了计算理论的可行性。

英文摘要：

The estimate of the boundedness of a chaotic system is important in chaos control,chaos synchronization and its applications.A dynamical system model of 3D chaotic system is given.The globally exponentially attractive set of a new chaotic system is investigated via constructing a Lyapunov function and optimation theory.Its globally exponentially attractive estimate is got.Numerical simulations are presented to show the effectiveness of the proposed scheme.