ONE-DIMENSIONAL GENERALIZED FIBONACCI TILINGS

被引:67
作者
KOLAR, M
ALI, MK
机构
[1] Department of Physics, University of Lethbridge, Lethbridge
来源
PHYSICAL REVIEW B | 1990年 / 41卷 / 10期
关键词
D O I
10.1103/PhysRevB.41.7108
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Polynomial (nonsingular) dynamical trace maps of generalized Fibonacci tilings (A,BAmBn,A) are derived for arbitrary values of m and n. It is shown that these sequences can be grouped into two distinct classes. The sequences in class I correspond to n=1 and arbitrary m. They are shown to have volume-preserving and invertible trace maps with an invariant the same as that of the golden-mean sequence. The class-II sequences correspond to n>1 and arbitrary m and are shown to be associated with volume-nonpreserving and noninvertible trace maps with a common pseudoinvariant which is of the form of the invariant of class-I maps. Furthermore, it is shown for the class-II case that if n=m+1 the trace maps are two dimensional. © 1990 The American Physical Society.
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收藏
页码:7108 / 7112
页数:5
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