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 language | English |
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Pages (from-to) | 2087-2121 |
Number of pages | 35 |
Journal | Annales Henri Poincare |
Volume | 18 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Jun 2017 |
Externally published | Yes |
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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