| 二阶差分方程在不动点和周期点的稳定性 |
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| 引用本文： | 梁松,吴然超.二阶差分方程在不动点和周期点的稳定性[J].阜阳师范学院学报(自然科学版),2013,30(2):1-4. |
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| 作者姓名： | 梁松 吴然超 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥,230601 |
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| 基金项目： | 高等学校博士学科点专项科研基金 |
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| 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。
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| 关 键 词： | 差分方程 渐近稳定 不动点 周期点 |
Stability of fixed points and periodic points in second order difference equations |
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| LIANG Song
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WU Ran-chao.Stability of fixed points and periodic points in second order difference equations[J].Journal of Fuyang Teachers College:Natural Science,2013,30(2):1-4. |
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| Authors: | LIANG Song WU Ran-chao |
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| Institution: | (School of Mathematical Sciences, Anhui University, Hefei Anhui 230601, China) |
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| Abstract: | 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. |
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| Keywords: | difference equations asymptotic stability fixed point periodic point |
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