SYMBOLIC DYNAMICS FOR THE CIRCLE MAP

被引:12
作者
ZHENG, WM
机构
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 1991年 / 5卷 / 03期
关键词
D O I
10.1142/S0217979291000298
中图分类号
O59 [应用物理学];
学科分类号
摘要
The circle map is studied directly by means of symbolic sequences. By using the Farey representation of real numbers and the Farey transformations for symbols the oriented itineraries are analysed. The generalised Farey transformations for symbols are introduced for supercritical maps. Joints and the skeleton are described for the bifurcation structure.
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页码:481 / 495
页数:15
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