  In a recent paper by the author (K. Yagasaki, Nonintegrability of the
restricted three-body problem, submitted for publication), a technique was
developed for determining whether nearly integrable systems are not
meromorphically Bogoyavlenskij-integrable such that the first integrals and
commutative vector fields also depend meromorphically on the small parameter.
Here we continue to demonstrate the technique for some classes of dynamical
systems. In particular, we consider time-periodic perturbations of
single-degree-of-freedom Hamiltonian systems and discuss a relationship of the
technique with the subharmonic Melnikov method, which enables us to detect the
existence of periodic orbits and their stability. We illustrate the theory for
the periodically forced Duffing oscillator and two more additional examples:
second-order coupled oscillators and a two-dimensional system of pendulum-type
subjected to a constant torque.
