TY - JOUR
T1 - On Energy Transferring in a Periodic Pendulum Lattice with Analytic Weak Couplings
AU - Huang, Guan
N1 - Publisher Copyright:
© 2017, Springer International Publishing.
PY - 2017/6/1
Y1 - 2017/6/1
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 - http://www.scopus.com/inward/record.url?scp=85013072372&partnerID=8YFLogxK
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 -