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.