两类差分方程组非双曲零平衡点的渐进稳定性  

Asymptotic stability of non-hyperbolic zero equilibrium points of two kinds of difference equations

作　　者：查明鑫 谢涛 司文晓 ZHA Ming-xin;XIE Tao;SI Wen-xiao(College of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China)

机构地区：[1]湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《湖北师范大学学报（自然科学版）》2022年第1期7-14,20,共9页Journal of Hubei Normal University：Natural Science

摘　　要：研究了两个带指数项的差分方程组,其线性化系统的系数矩阵在一个特征值为-1,另一特征值绝对值小于1的特殊情况下零平衡的渐近稳定性。利用中心流形理论的方法得到了系统平衡点渐近稳定的若干充分条件。In this paper,the asymptotic stability of two difference equations with exponential terms is studied,under the special condition that one eigenvalue is-1 and the other eigenvalue is less than 1.Some sufficient conditions for asymptotic stability of the system equilibrium point are obtained by using the method of central manifold theory.

关 键 词：差分方程 渐近稳定 中心流形 

分 类 号：O361[理学—流体力学]