On Energy Transferring in a Periodic Pendulum Lattice with Analytic Weak Couplings

Guan Huang

doi:10.1007/s00023-017-0561-6

On Energy Transferring in a Periodic Pendulum Lattice with Analytic Weak Couplings

Guan Huang^*

^*此作品的通讯作者

University of Maryland, College Park

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

Consider a system of periodic pendulum lattice with analytic weak couplings: (Formula Presented.), where N⩾ 3 is an integer, ϵ> 0 is a small parameter, and the function β_α is an analytic function of a certain form. It is shown in this paper that for small enough ϵ, the system admits motions such that the energy transfers between the pendulums in any predetermined order.

源语言	英语
页（从-至）	2087-2121
页数	35
期刊	Annales Henri Poincare
卷	18
期	6
DOI	https://doi.org/10.1007/s00023-017-0561-6
出版状态	已出版 - 1 6月 2017
已对外发布	是

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abstract = "Consider a system of periodic pendulum lattice with analytic weak couplings: (Formula Presented.), where N⩾ 3 is an integer, ϵ> 0 is a small parameter, and the function βα is an analytic function of a certain form. It is shown in this paper that for small enough ϵ, the system admits motions such that the energy transfers between the pendulums in any predetermined order.",

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AB - Consider a system of periodic pendulum lattice with analytic weak couplings: (Formula Presented.), where N⩾ 3 is an integer, ϵ> 0 is a small parameter, and the function βα is an analytic function of a certain form. It is shown in this paper that for small enough ϵ, the system admits motions such that the energy transfers between the pendulums in any predetermined order.

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DO - 10.1007/s00023-017-0561-6

M3 - Article

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On Energy Transferring in a Periodic Pendulum Lattice with Analytic Weak Couplings

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