在GTM循环质量链的振动中谱的递增性

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Increasing Property of Spectrum in the Vibrations of a Cyclic Chain of Masses Distributed According to the GTM Sequence

摘要: 将广义Thue-Morse列引入等强度弹簧连结起来的质量链的振动问题,证明了该振动模型对应的线性算子的谱A_{n具有递增性。}
- 线性算子 /
- 谱 /
- 广义Thue-Morse代换 /
- 振动方程
Abstract: Generalized Thue-Morse sequences areint roduced into vibrational question of a hain of masses linked by springs of constant strength,and increasing property isproven of spectrum A_n of linear operator In about the vibrational model.
- liaear operator /
- spectrum /
- generalized Thue-Morse substittution /
- vibrational equation

[1]	F.Axel,J.P.Allouche,从.Kleman,M.Mendes-France and J.Peyriere,Vibrational modes in a one dimensional "quasi-alloy":The Morse case,J.de Physique,Colloque C₃,Supp.au no°7,47,juillet(1986),181-186.
[2]	M.Queffelec,Lecture Notes in Mathematics,No.1294,(1987).
[3]	J.P..Allouche and J.Peyrière,Sur une formule de rēcurrence sur les traces de produits de matrices associēs à certaines substitutions,C.R.Acad.Sci.Paris,302Ⅱ(1986),1135-1136.

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