On energy transferring in a periodic pendu- lum lattice with analytic weak couplings

Guan HUANG YMSC,Tsinghua University

Dynamical Systems mathscidoc:2205.11004

Ann. Henri Poincar ́e , 18, (6), 2087-2121, 2017.3
Consider a system of periodic pendulum lattice with analytic weak coupling: i x ̈i +sinxi =−ε 􏰀 ∂xiβα(xj,xj+1,xj+2), xi =xi+N, i∈Z, j =i−2 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.
No keywords uploaded!
[ Download ] [ 2022-05-17 13:38:03 uploaded by huangguan ] [ 34 downloads ] [ 0 comments ]
@inproceedings{guan2017on,
  title={On energy transferring in a periodic pendu- lum lattice with analytic weak couplings},
  author={Guan HUANG},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220517133803931762204},
  booktitle={Ann. Henri Poincar ́e },
  volume={18},
  number={6},
  pages={2087-2121},
  year={2017},
}
Guan HUANG. On energy transferring in a periodic pendu- lum lattice with analytic weak couplings. 2017. Vol. 18. In Ann. Henri Poincar ́e . pp.2087-2121. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220517133803931762204.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved