| 关子二维保面积映象的研究 |
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| 引用本文： | 刘伍明,贺贤土.关子二维保面积映象的研究[J].蒙自师范高等专科学校学报,1989(2). |
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| 作者姓名： | 刘伍明 贺贤土 |
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| 作者单位： | 云南蒙自师专物理系，应用物理与计算数学研究所 北京 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文研究了二维保面积映象的稳定周期轨道、同周期分岔、倍周期分岔及Kolm—Jogorov熵,发现周期N轨道的失稳曲线在局部区域互相交错和打结,得到了同周期分岔条件及区分三种同周期分岔类型的解析判据,和倍周期序列分岔率及标度变换因子,对描速映象混沌程度的Kolmogorov熵也进行了计算。
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| 关 键 词： | 二维保面积映象 稳定周期轨道 同周期分岔 倍周期分岔 Kolmogorov 熵 |
STUDY OF TWO DIMENSIONAL AREA-PRESERVING MAPS |
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| Liu Wu-ming.STUDY OF TWO DIMENSIONAL AREA-PRESERVING MAPS[J].Journal of Mengzi Teachers' College,1989(2). |
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| Authors: | Liu Wu-ming |
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| Abstract: | The stabe periodic orbots and the equal periodic bifurcationsand the periodic-doubling bifurcations and the kolmogoroov entropy of two dim-ensional area-preserving maps are studied. The unstabe curves of period-N orbit are intersected and tie a knot in part region. The conditions and the analytical criterions which can distinguish three types for equal periodic bifurcations are obtained. The bifurcational ratio and scaling fa-
ctors of a sequence of period-doubling bifurcations are found. The kolm-ogrov entropy vrhich cfescribe chaos of two dimensional area-preserving maps is calculated. |
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| Keywords: | the two dimensional area-preserving map the st-abe periodic orbit the equal periodic bifurcation the periodic-doubling bifurcation the kolmogorov entropy |
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