复系数离散动力系统的稳定性  

The Stability of Dynamical Systems of Complex Coefficients

作　　者：张子芳[1] 徐道义[1] 

机构地区：[1]四川大学数学研究所,成都610064

出　　处：《四川大学学报（自然科学版）》2003年第5期820-825,共6页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(19831030)

摘　　要：给出了离散动力系统稳定性的充分条件,解决了这类系统一种临界情况稳定性的判别,其结果推广了Хусаинов和Никифорова等人近期获得的结果 最后引入稳定辅助多项式。The authors give sufficient conditions for a discrete dynamical systems to be stable,solve the problem of differentiation of stability for discrete dynamical systems under critical situation,and improve the results obtained by Хусаинов and Никифорова recently.By means of stable auxiliary polynomials,stronger criterion for stability of discrete dynamical systems is obtained.

关 键 词：多项式零点 离散动力系统 稳定性 渐近稳定性 

分 类 号：O193[理学—数学]