Renormalization of fluctuations for a generalized Harper equation for periodic continued fractions

被引：0
作者：
Hulton, S. [1 ]
Mestel, B. D. [1 ]
机构：
[1] Open Univ, Dept Math & Stat, Milton Keynes MK7 6AA, Bucks, England
来源：
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2015年 / 30卷 / 01期
基金：
英国工程与自然科学研究理事会;
关键词：
05.10.Cc; 75.30.Kz; 64.60.ae; periodic continued fraction; strange set; renormalization; dihedral group; generalized Harper equation; 37N20; 37E20; FORCED 2-LEVEL SYSTEM; STRANGE NONCHAOTIC ATTRACTOR; GOLDEN MEAN RENORMALIZATION; METAL-INSULATOR-TRANSITION; QUADRATIC IRRATIONALS; SCHRODINGER-EQUATION; BARRIER BILLIARD; LOCALIZATION; POTENTIALS; OPERATORS;
D O I：
10.1080/14689367.2014.984433
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A renormalization analysis is presented for a generalized Harper equation For values of the parameter omega having periodic continued fraction expansion, we construct the periodic orbits of the renormalization strange sets in function space that govern the fluctuations of the solutions of the generalized Harper equation in the strong-coupling limit lambda -> infinity. In so doing, we give a detailed analysis of the structure of the sets and the renormalization dynamics, including an analysis of the symmetry structure of the renormalization strange sets in terms of D-3, the dihedral group of order 6.
引用
收藏
页码：85 / 121
页数：37
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