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王琦,曾凡平,刘新和,严可颂.差分方程xn+1=(α+B1xn-1+B3xn-3+…+B2k+1xn-2k-1)/(A+B0xn+B2xn-2+…+B2kxn-2k)的动力学[J].广西科学,2007,14(4):381-385. [点击复制]
- WANG Qi,ZENG Fan-ping,LIU Xin-he,YAN Ke-song.Dynamics of the Difference Equation xn+1= (α+B1xn-1+B3xn-3+…+B2k+1xn-2k-1)/ (A+B0xn+B2xn-2+…+B2kxn-2k)[J].Guangxi Sciences,2007,14(4):381-385. [点击复制]
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| 差分方程xn+1=(α+B1xn-1+B3xn-3+…+B2k+1xn-2k-1)/(A+B0xn+B2xn-2+…+B2kxn-2k)的动力学 |
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王琦1, 曾凡平2,3, 刘新和2, 严可颂3
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| (1.广西工学院信息与计算科学系, 广西柳州 545006;2.广西大学数学与信息科学学院, 广西南宁 530004;3.柳州师范高等专科学校数学系, 广西柳州 545004) |
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| 摘要: |
| 考察差分方程xn+1=(α+B1xn-1+B3xn-3+…+B2k+1xn-2k-1)/(A+B0xn+B2xn-2+…+B2kxn-2k),n=0,1,…的动力学行为,在4种情形下分别讨论方程解的性质. |
| 关键词: 差分方程 有界性 周期解 全局吸因子 |
| DOI： |
| 投稿时间：2006-12-27修订日期：2007-06-25 |
| 基金项目:Supported by the Natural Science Foundation of China (10661001);the Research Fund of Technology Master of Guangxi University of Technology(070232). |
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| Dynamics of the Difference Equation xn+1= (α+B1xn-1+B3xn-3+…+B2k+1xn-2k-1)/ (A+B0xn+B2xn-2+…+B2kxn-2k) |
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WANG Qi1, ZENG Fan-ping2,3, LIU Xin-he2, YAN Ke-song3
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| (1.Department of Information and Computing Science, Guangxi University of Technology, Liuzhou, Guangxi, 545006, China;2.College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China;3.Department of Mathematics, Liuzhou Teachers College, Liuzhou, Guangxi, 545004, China) |
| Abstract: |
| Dynamics of the following difference equation will be investigated:xn+1= (α+B1xn-1+B3xn-3+…+B2k+1xn-2k-1)/ (A+B0xn+B2xn-2+…+B2kxn-2k), n=0, 1, … the nature of the soultion of the difference equation will be investigated in four cases. |
| Key words: difference equation boundedness periodic solution global attractor |
