Increasing property of spectrum in the vibrations of a cyclic chain of masses distributed according to the gtm sequence
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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 wordslinear operator spectrum generalized Thue-Morse substitution vibrational equation
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- M. Queffelec,Lecture Notes in Mathematics, No. 1294, Springer-Verlag (1987).Google Scholar