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一类二维迭代系统的周期性
引用本文:伍亚魁,李琦,余荣忠.一类二维迭代系统的周期性[J].九江师专学报,2008(3):63-66.
作者姓名:伍亚魁  李琦  余荣忠
作者单位:九江学院理学院,江西九江332005
基金项目:江西省自然科学基金资助课题(一类不连续系统的复杂性的研究,批准号:2007GQS0142)
摘    要:本文主要考虑了一类二维平面上的间断动力系统的周期性。由于迭代函数的不连续性,这给我们考虑其动力学性质带来了极大的不便。所幸的是我们采用符号动力系统的相关理论,能简化我们的运算与讨论,得到的主要结果是该系统的周期点个数的表示。

关 键 词:周期性  符号动力系统  编码

THE PERIODICITY OF A CLASS OF 2-DIMENSION DYNAMICAL SYSTEM
WU Yakui,LI Qi,YU Rongzhong.THE PERIODICITY OF A CLASS OF 2-DIMENSION DYNAMICAL SYSTEM[J].Journal of Jiujiang Teacher's College,2008(3):63-66.
Authors:WU Yakui  LI Qi  YU Rongzhong
Institution:(Faculty of Science and Mathematics,Jiujiang University,Jiangxi Jiujiang 332005)
Abstract:The periodicity of a 2-dimension discontinuous dynamical system was discussed in this paper.It was very difficult to study the system,as a result of discontinuity of the map.Fortunately,The theories of symbolic dynamic system was very helpful to discuss the dynamical systme by simplifying the operation.And the main result in this paper was the expression of the number of period points.
Keywords:periodicity  symbolic dynamic system  coding
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