| 一类动力系统的不动点和分岔 |
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| 引用本文： | 江成顺,刘霖雯,李晓聪. 一类动力系统的不动点和分岔[J]. 郑州大学学报(理学版), 2004, 36(1): 12-15 |
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| 作者姓名： | 江成顺 刘霖雯 李晓聪 |
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| 作者单位： | 信息工程大学信息工程学院,郑州,450002 |
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| 摘 要： | 证明了一类非线性离散动力系统不动点的两个判别方法,具体分析了两个不同类型的离散动力系统的不动点性质及其分岔特性.利用Matlab软件借助计算机验证了所得结论,并模拟了相应动力系统的Feigenbaum第一定律.
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| 关 键 词： | 离散动力系统 不动点 分岔 Feigenbaum第一定律 |
| 文章编号： | 1671-6841(2004)01-0012-04 |
| 修稿时间： | 2003-10-08 |
Fixed Point and Bifurcation for Some Dynamic Systems |
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| Jiang Chengshun,Liu Linwen,Li Xiaocong. Fixed Point and Bifurcation for Some Dynamic Systems[J]. Journal of Zhengzhou University(Natrual Science Edition), 2004, 36(1): 12-15 |
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| Authors: | Jiang Chengshun Liu Linwen Li Xiaocong |
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| Abstract: | Some nonlinear discrete dynamic systems are considered,and two discriminating methods of the fixed point are proved.The bifurcation behavior of the corresponding dynamic systems is also studied.Furthermore,the research conclusions are verified by taking advantage of a computer and Matlab software.Specially,the Feigenbaum's first law for two concrete discrete dynamic systems is stimulated. |
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| Keywords: | discrete dynamic system fixed point bifurcation Feigenbaum's first law |
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