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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.
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@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.
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