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^*

^*Corresponding author for this work

University of Maryland, College Park

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

2 Citations (Scopus)

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 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.

Original language	English
Pages (from-to)	2087-2121
Number of pages	35
Journal	Annales Henri Poincare
Volume	18
Issue number	6
DOIs	https://doi.org/10.1007/s00023-017-0561-6
Publication status	Published - 1 Jun 2017
Externally published	Yes

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title = "On Energy Transferring in a Periodic Pendulum Lattice with Analytic Weak Couplings",

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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AU - Huang, Guan

PY - 2017/6/1

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N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/85013072372

U2 - 10.1007/s00023-017-0561-6

DO - 10.1007/s00023-017-0561-6

M3 - Article

AN - SCOPUS:85013072372

SN - 1424-0637

VL - 18

SP - 2087

EP - 2121

JO - Annales Henri Poincare

JF - Annales Henri Poincare

IS - 6

ER -

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

Abstract

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