线性动力系统的稳定性

详细信息    查看全文 | 推荐本文 |

英文篇名：Stability of Linear Dynamical Systems 作者：张帆 ; 邓贵新 英文作者：ZHANG Fan;DENG Gui-xin;School of Mathematics and Statistics,Nanning Normal University; 关键词：线性动力系统 ; 高度 ; 稳定性 ; Smith标准型 英文关键词：linear finite dynamical system;;height;;stabilization;;Smith normal form 中文刊名：GXSZ 英文刊名：Journal of Guangxi Teachers Education University(Natural Science Edition) 机构：南宁师范大学数学与统计学院; 出版日期：2019-07-15 10:14 出版单位：广西师范学院学报(自然科学版) 年：2019 期：v.36;No.114 基金：国家自然科学基金项目(11801104);; 2018年广西硕士研究生创新项目(YCSW2018181);; 广西自然科学基金项目(2016GXNSFDA380017) 语种：中文; 页：GXSZ201902003 页数：4 CN：02 ISSN：45-1069/N 分类号：17-20

摘要

稳定性是动力系统研究中的重要问题之一.一些文章给出了有限环上线性动力系统高度的上下界,该文主要通过计算同余方程AX=0的解的个数给出线性有限动力系统(Z_(p~n)~2,A)高度的计算方法.
        The stability is one important problem in the study of discrete dynamical systems.Some people give the lower and upper bound of these systems.In this paper,we give amethod to compute the height of the linear dynamical systems(Z_(p~n)~2,A)by calculating the number of the solutions of the linear congruence equations AX =0.

引文

[1]RenéA,Hernndez Toledo.Linear finite dynamical systems[J].Communications in Algebra,2005,33(9):2977-2989.
    [2]Deng Guixin.Cycles of linear dynamical systems over finite local rings[J].Journal of Algebra,2015,433:243-261.
    [3]Wei Yangjiang,Xu Guangwu,Zou Yiming.Dynamics of linear systems over finite commutative rings[J].Applicable Algebrain Engineering,Communication and Computing,2016,27(6):469-479.
    [4]Bj9rn Lindenberg.Stabilization bounds for linear finite dynamical systems[J].Journal of Algebra,2018,511:516-534.
    [5]李裕葵,杨继明,张宝华.关于剩余类环Zm上的线性方程组[J].陕西师范大学学报(自然科学版),2004(s1):24-28.
    [6]Xu Guangwu,Zou Yiming.Linear dynamical systems over finite rings[J].Journal of Algebra,2008,321(8):2149-2155.
    [7]William C Brown.Matrices over commutative rings[M].New York:Marcel Dekker,1993.