| 二维复离散动力系统的解析不变曲线 |
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| 引用本文： | 刘凌霞. 二维复离散动力系统的解析不变曲线[J]. 潍坊学院学报, 2010, 10(2): 63-68,84 |
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| 作者姓名： | 刘凌霞 |
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| 作者单位： | 潍坊学院,山东,潍坊,261061 |
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| 摘 要： | 主要在复平面C中讨论二维复离散动力系统的解析不变曲线。利用幂级数方法,讨论方程在固定点处的特征值α,分双曲情形0〈｜α｜〈1和Diophantine条件下的共振情形。
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| 关 键 词： | 不变曲线 迭代方程 优级数 Diophantine条件 |
Analytic Invariant Curves in a Two Dimensional Complex Discrete Dynamical System |
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| LIU Ling-xia. Analytic Invariant Curves in a Two Dimensional Complex Discrete Dynamical System[J]. Journal of Weifang University, 2010, 10(2): 63-68,84 |
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| Authors: | LIU Ling-xia |
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| Affiliation: | LIU Ling-xia (Weifang University,Weifang 261061,China) |
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| Abstract: | In this paper,we are concerned with the existence of analytic invariant curves of a 2-D mapping in the complex field C.Employing the method of majorant series,we need to discuss the eigenvalue α of the mapping at a fixed point.We discuss α at the hyperbolic case 0〈｜α｜〈1 and α near resonance（i.e.,near a root of the unity） under diophantine condition. |
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| Keywords: | invariant curves iterative equation majorant series diophantine condition |
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