摘要
研究了一类二阶自治差分方程在不动点和周期点处的稳定性,利用连续函数的性质,得到了二阶自治离散时间系统的稳定性条件。据此条件较容易判定二阶自治离散时间系统的稳定性。该问题的研究具有一定的现实意义。
A class of second order difference equations in the stability of fixed and periodic points is researched. Making use of the property of continuous function, we obtained the stability condition of second-order autonomous discrete time systems, which made it easier to determine the stability of the systems. Study of this problem has important practical significance.
出处
《阜阳师范学院学报（自然科学版）》
2013年第2期1-4,共4页
Journal of Fuyang Normal University(Natural Science)
基金
高等学校博士学科点专项科研基金(20093401120001)资助
关键词
差分方程
渐近稳定
不动点
周期点
difference equations
asymptotic stability
fixed point
periodic point
