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

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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.

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References

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Communicated by Li Li

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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

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