| GTM振动链中谱的构造 |
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| 引用本文： | 商朋见.GTM振动链中谱的构造[J].北京交通大学学报(自然科学版),1996(1). |
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| 作者姓名： | 商朋见 |
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| 作者单位： | 北方交通大学数学系 |
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| 摘 要： | 将“准合金”模型加以推广,把广义Ｔｈｕｅ－Ｍｏｒｓｅ列引入等强度弹簧连结起来的质量链振动问题,据ＧＴＭ代换的迹映射性质、矩阵理论等证明该模型对应的线性算子谱的构成性质。
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| 关 键 词： | 代换 Hermite算子 GTM序列 谱 |
The Structure of the Spectrum in the GTM Vibration Chain |
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| Shang Pengjian.The Structure of the Spectrum in the GTM Vibration Chain[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,1996(1). |
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| Authors: | Shang Pengjian |
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| Abstract: | The "quasi-alloy" model is generalized here, the Generalized Thue-Morse sequence(GTM) is introduced into the vibration problem of a chain of masses linked by springs of constant strength, the structure property of the spectrum of the linear operator corresponding to the vibration model is proved based on the trace mapping property of GTM substitution, the matrix theory etc. |
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| Keywords: | ss: substitution hermite operator GTM sequence spectrum |
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