| 滞后型差分系统周期解的稳定性 |
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| 引用本文： | 傅湘陵,周展. 滞后型差分系统周期解的稳定性[J]. 湘潭师范学院学报(自然科学版), 2002, 24(2): 12-18 |
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| 作者姓名： | 傅湘陵 周展 |
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| 作者单位： | 湖南大学,应用数学系,湖南,长沙,410082 |
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| 摘 要： | 研究了滞后型差分系统2xn-xn-1=f(yn-k)2yn-yn-1=f(xn-k)n∈N（其中k为正整数，f为McCulloch－Pitts型符号函数）的周期解的存在性与稳定性，得到了该系统的一个稳定的2k 1周期解，所得结果拓展了[1]中的主要结论。
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| 关 键 词： | 稳定性 周期解 滞后型差分系统 存在性 McCulloch－Pitts型符号函数 |
The Stable Periodic Solution of Delay Difference Systems |
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| FU Xiang-ling,ZHOU Zhan. The Stable Periodic Solution of Delay Difference Systems[J]. Journal of Xiangtan Normal University (Natural Science Edition), 2002, 24(2): 12-18 |
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| Authors: | FU Xiang-ling ZHOU Zhan |
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| Abstract: | In this paper, we consider a delay difference system 2xn-xn-1=f(yn-k) 2yn-yn-1=f(xn-k) n∈N where k is a positive integer, and f is a singal transmission function of McCulloch-Pitts type, and obtained some results for the stability of the periodic solution and extended the results in [1]. |
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| Keywords: | stability periodic solution delay difference system |
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