| 平面映射一类不动点的倍周期分支及其稳定性判定 |
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| 引用本文： | 吴玉海. 平面映射一类不动点的倍周期分支及其稳定性判定[J]. 上海交通大学学报, 2002, 36(2): 276-280 |
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| 作者姓名： | 吴玉海 |
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| 作者单位： | 上海交通大学,应用数学系,上海,200030 |
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| 摘 要： | 给出平面映射f于不动点处Jacobi矩阵有一特征值为－1，以及在另一特征值的绝对值不为1的情况下，平面映射f的倍周期点分支条件及其稳定性判定。
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| 关 键 词： | 平面映射 不动点 倍周期分支 稳定性判定 |
| 文章编号： | 1006-2467(2002)00-0276-05 |
Period Doubling Bifurcation and Its Stability Analysis for a Class of Planar Map |
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| WU Yu hai. Period Doubling Bifurcation and Its Stability Analysis for a Class of Planar Map[J]. Journal of Shanghai Jiaotong University, 2002, 36(2): 276-280 |
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| Authors: | WU Yu hai |
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| Abstract: | First by applying implicit theory to convert 2 dimension problem into 1 dimension one, then by computing Taylor expansion of the bifurcation function and analyzing its zero poins, certain conditions were given under which the period doubling bifurcation happens. At the end, by analyzing the eigenvalue of map f 2 at 2 periodic points the stability of then were obtained. |
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| Keywords: | periodic doubling bifurcation asymptotic stability bifurcation function |
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