Abstract
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.
Similar content being viewed by others
References
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.
M. Queffelec,Lecture Notes in Mathematics, No. 1294, Springer-Verlag (1987).
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.
Author information
Authors and Affiliations
Additional information
Communicated by Li Li
Rights and permissions
About this article
Cite this article
Pengjian, S. Increasing property of spectrum in the vibrations of a cyclic chain of masses distributed according to the gtm sequence. Appl Math Mech 16, 643–649 (1995). https://doi.org/10.1007/BF02455248
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02455248