Abstract:Abstract.Motivated by the double pendulum equation we consider Lagrangian systems with potential V = V(t, q) periodic in each of the variables t, q = (q].qN). We study periodic solutions for the corresponding equation of motion subject to a periodic force / = f(t). If / has mean value zero, the corresponding variational problem admits a Z symmetry which yields N + 1 distinct periodic solutions (see [9]). Here we consider the case where the average of /, though bounded, is no longer required to be zero. We show… Show more
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