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

Shang Pengjian

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Shang Pengjian. Increasing Property of Spectrum in the Vibrations of a Cyclic Chain of Masses Distributed According to the GTM Sequence[J]. Applied Mathematics and Mechanics, 1995, 16(7): 603-608.

Citation:

Shang Pengjian. Increasing Property of Spectrum in the Vibrations of a Cyclic Chain of Masses Distributed According to the GTM Sequence[J]. Applied Mathematics and Mechanics, 1995, 16(7): 603-608.

Citation:

Shang Pengjian. Increasing Property of Spectrum in the Vibrations of a Cyclic Chain of Masses Distributed According to the GTM Sequence[J]. Applied Mathematics and Mechanics, 1995, 16(7): 603-608.

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

Shang Pengjian

Department of Applied Mathematics, Northern Jiaotong University, Beijinn 100044

Received Date: 1994-05-07
Publish Date: 1995-07-15

Abstract

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

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References(3)

References

[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.