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

Guan Huang*

*Corresponding author for this work

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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.

Original languageEnglish
Pages (from-to)2087-2121
Number of pages35
JournalAnnales Henri Poincare
Volume18
Issue number6
DOIs
Publication statusPublished - 1 Jun 2017
Externally publishedYes

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Huang, G. (2017). On Energy Transferring in a Periodic Pendulum Lattice with Analytic Weak Couplings. Annales Henri Poincare, 18(6), 2087-2121. https://doi.org/10.1007/s00023-017-0561-6