中文摘要：

基于李雅普诺夫函数稳定性理论,研究了一类三维混沌系统的平衡点、全局指数吸引集等问题.并且给出了相应的计算机模拟,其结果与理论计算相吻合,从而验证了理论计算的正确性与可行性.

英文摘要：

Equilibrium points and its stability,positively invariant sets,and global attractive sets are all important problems in dynamical systems.Based on Lyapunov functions theory,we have investigated the equilibrium points,global attractive sets of the new 3-D chaotic system.Base on the global attractive sets obtained in this paper,we can get the boundedness of all variables of the system.Finally,we give the simulations about our results in the paper.Numerical simulations is consistent with our computation.