Periodic solutions for systems of forced coupled pendulum-like equations (Q1107000)

A periodic boundary value problem for a nonlinear system of forced coupled pendulum-like equations is studied. It is discussed the existence of solutions of the problem under consideration without any requirement of the symmetric of the forced terms. As a model examples illustrating the use of the obtained results is given the motion of N coupled pendulums as well as the oscillations of an N-coupled point Josephson function with external time dependent disturbances.