| 带有高斯取整函数的两个非线性三项递推关系的周期性 |
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| 引用本文： | 张晏志,郑穗生.带有高斯取整函数的两个非线性三项递推关系的周期性[J].延边大学理工学报,2014(1):1-7. |
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| 作者姓名： | 张晏志 郑穗生 |
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| 作者单位： | [1]台湾清华大学工业工程与工程管理学系 [2]台湾清华大学数学系,台湾新竹30043 |
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| 摘 要： | 研究了带有高斯取整函数的两个非线性三项递推关系φk-1+φk+1=φk],φk-1+φk+φk+1=φk],k∈Z的周期性,通过递推分析找到了两个递推关系的所有解的最小正周期,并证明了任何解的周期均为12.
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| 关 键 词： | 非线性递推关系 周期解 生成元 转化 |
Periodicity of two nonlinear three term recurrence relations involving the Gauss bracket function |
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| ZHANG Yanzhi,ZHENG Suisheng.Periodicity of two nonlinear three term recurrence relations involving the Gauss bracket function[J].Journal of Yanbian University (Natural Science),2014(1):1-7. |
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| Authors: | ZHANG Yanzhi ZHENG Suisheng |
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| Affiliation: | 1. Department of Industrial Engineering and Industrial Management, Tsinghua University 2. Department of Mathematics, Tsinghua University Hsinchu 30043, China ) |
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| Abstract: | Two discontinuous three term recurrence relations φk-1 ＋ φk＋1 = φk ,andφk-1 ＋ φk＋ φk＋1 = φk , k ∈ Zinvolving the Gauss bracket function are studied .By recursion and analysis ,we find the least periods of all their solutions and prove that any solution has the period 12 . |
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| Keywords: | nonlinear recurrence relation periodic solution generator translation |
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