| 标准映象分歧行为的解析计算 |
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| 引用本文： | 汪秉宏.标准映象分歧行为的解析计算[J].中国科学技术大学学报,1988(3). |
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| 作者姓名： | 汪秉宏 |
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| 作者单位： | 中国科学技术大学近代物理系 |
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| 摘 要： | 对标准映象周期1至周期4轨道的切分歧点,同周期分歧点及倍周期分歧点进行了解析计算,给出标准映象各周期轨道的无穷多稳定性窗口的解析表达式,并对标准映象周期运动的分歧行为提供一个完整的图象。
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| 关 键 词： | 标准映象 切分歧 倍周期分歧 同周期分歧 稳定性窗口 |
Analytical Calculation of Bifurcation Behaviours in Standard Mapping |
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| Wang Binghong.Analytical Calculation of Bifurcation Behaviours in Standard Mapping[J].Journal of University of Science and Technology of China,1988(3). |
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| Authors: | Wang Binghong |
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| Institution: | Wang Binghong Department of Modern Physics |
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| Abstract: | For standard mapping, we calculate analytically the values of non-integrableparameter K where the orbits of periods 1 to 4 variate their stability viatangent bifurcation, period doubling bifurcation and period equal bifurcation.Hence, the analytical stable windows of periodic orbits are given and a com-plete picture can be seen for the behaviour of bifurcation of periodic motion instandard mapping. |
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| Keywords: | standard map tangent bifurcation period doubling bifurcation period equal bifurcation stable window |
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