Selfsimilarity in a Class of Quadratic-Quasiperiodic Chains

Masanobu Kaneko; Takashi Odagaki

doi:10.1143/JPSJ.62.1147

Selfsimilarity in a Class of Quadratic-Quasiperiodic Chains

Masanobu Kaneko, Takashi Odagaki

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We prove that quasiperiodic chains associated with a class of quadratic irrational numbers have an inflation symmetry and can be generated from a regular chain by a hyperinflation. We devise the explicit method to find the hyperinflation symmetry and discuss the properties of such a class of quasiperiodic sequences.

Original language	English
Pages (from-to)	1147-1152
Number of pages	6
Journal	journal of the physical society of japan
Volume	62
Issue number	4
DOIs	https://doi.org/10.1143/JPSJ.62.1147
Publication status	Published - Jan 1 1993
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1143/JPSJ.62.1147

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title = "Selfsimilarity in a Class of Quadratic-Quasiperiodic Chains",

abstract = "We prove that quasiperiodic chains associated with a class of quadratic irrational numbers have an inflation symmetry and can be generated from a regular chain by a hyperinflation. We devise the explicit method to find the hyperinflation symmetry and discuss the properties of such a class of quasiperiodic sequences.",

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year = "1993",

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AU - Kaneko, Masanobu

AU - Odagaki, Takashi

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N2 - We prove that quasiperiodic chains associated with a class of quadratic irrational numbers have an inflation symmetry and can be generated from a regular chain by a hyperinflation. We devise the explicit method to find the hyperinflation symmetry and discuss the properties of such a class of quasiperiodic sequences.

AB - We prove that quasiperiodic chains associated with a class of quadratic irrational numbers have an inflation symmetry and can be generated from a regular chain by a hyperinflation. We devise the explicit method to find the hyperinflation symmetry and discuss the properties of such a class of quasiperiodic sequences.

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JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

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Selfsimilarity in a Class of Quadratic-Quasiperiodic Chains

Abstract

All Science Journal Classification (ASJC) codes

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