Harmonic structure of one-dimensional quadratic maps

被引:15
作者
Pastor, G
Romera, M
Montoya, F
机构
[1] Instituto de Física Aplicada, Consejo Superior de Investigaciones Científicas, Madrid, 28006
来源
PHYSICAL REVIEW E | 1997年 / 56卷 / 02期
关键词
D O I
10.1103/PhysRevE.56.1476
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We study here the ''harmonic structure'' of one-dimensional quadratic maps. The patterns of the structure: can be generated with only one initial datum: the symbolic sequence C of the period-1 superstable orbit, All the patterns of the structure are F harmonics (Fourier harmonics), Rules to compose two patterns; and rules to calculate F-harmonics are given. The harmonic-structure matrix which contains all the F harmonics in a very compact way by means of the harmonic notation is introduced.
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页码:1476 / 1483
页数:8
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