M. Franaszek, PERIODICALLY KICKED DUFFING OSCILLATOR AND NONATTRACTING CHAOTIC SETS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(5), 1994, pp. 3927-3929
The Duffing oscillator perturbed periodically by a sequence of short k
icks of a constant strength is investigated. It appears that long time
behavior of a such system may be connected with a nonattracting chaot
ic set which exists in a free unperturbed system. This set corresponds
to the unstable periodic orbits (placed on the basins boundaries) and
their unstable manifolds.