Applied Mathematics and Mechanics

, Volume 16, Issue 7, pp 643–649 | Cite as

Increasing property of spectrum in the vibrations of a cyclic chain of masses distributed according to the gtm sequence

  • Shang Pengjian


Generalized Thue-Morse sequences are introduced into vibrational question of a hain of masses linked by springs of constant strength, and increasing property is proven of spectrum Δn of linear operator In about the vibrational model.

Key words

linear operator spectrum generalized Thue-Morse substitution vibrational equation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    F. Axel, J. P. Allouche, M. Kléman, M. Mendes-France and J. Peyrière, Vibrational modes in a one dimensional “quasi-alloy”: The Morse case, J. de Physique, Colloque C3, Supp. au no7, 47, juillet (1986), 181–186.zbMATHGoogle Scholar
  2. [2]
    M. Queffelec,Lecture Notes in Mathematics, No. 1294, Springer-Verlag (1987).Google Scholar
  3. [3]
    J. P. Allouche and J. Peyrière, Sur une formule de recurrence sur les traces de produits de matrices associes a certaines substitutions,C. R. Acad. Sci. Paris,302 (II) (1986), 1135–1136.zbMATHGoogle Scholar

Copyright information

© Shanghai University of Technology (SUT) 1995

Authors and Affiliations

  • Shang Pengjian
    • 1
  1. 1.Department of Applied MathematicsNorthern Jiaotong UniversityBeijingP. R. China

Personalised recommendations