| 二维滞后Logistic系统的非线性动力学分析 |
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| 引用本文： | 常迎香,李险峰,褚衍东,张建刚.二维滞后Logistic系统的非线性动力学分析[J].河南师范大学学报(自然科学版),2007,35(1):91-94. |
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| 作者姓名： | 常迎香 李险峰 褚衍东 张建刚 |
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| 作者单位： | 兰州交通大学,数理与软件工程学院,兰州,730070;兰州交通大学,数理与软件工程学院,兰州,730070;兰州交通大学,数理与软件工程学院,兰州,730070;兰州交通大学,数理与软件工程学院,兰州,730070 |
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| 摘 要： | 用数值计算和非线性理论分析了二维滞后Logistic系统在发生Neimark-Sacker分岔点附近的动力学行为.探讨了二维滞后Logistic系统通向混沌的道路和吸引子类型及其分形边界.
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| 关 键 词： | 二维滞后 Logistic 映射 Neimark-Sacker分岔 混沌 分形 |
| 文章编号： | 1000-2367(2007)01-0091-04 |
| 修稿时间： | 2006年6月9日 |
Nonlinear Dynamics Analysis of Two-dimensional Lagged Logistic System |
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| CHANG Ying-xiang,LI Xian-feng,CHU Yan-dong,ZHANG Jian-gang.Nonlinear Dynamics Analysis of Two-dimensional Lagged Logistic System[J].Journal of Henan Normal University(Natural Science),2007,35(1):91-94. |
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| Authors: | CHANG Ying-xiang LI Xian-feng CHU Yan-dong ZHANG Jian-gang |
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| Abstract: | A two-dimensional lagged Logistic system is studied numerically and theoretically.The paper reveals the general features of the twodimension lagged Logistic transition from regularity to chaos and the type of the attractors with fractal boundaries.The Neimark-Sacker bifurcation of the system is analyzed especially,which are illustrated on phase graphics nearby the point of Neimark-Sacker bifurcation. |
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| Keywords: | two-dimensional lagged Logistic Neimark-Sacker bifurcation chaos fractal |
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