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A detailed analysis of the classical nonlinear dynamics of a single drivensquare potential barrier with harmonically oscillating position is performed.The system exhibits dynamical trapping which is associated with the existenceof a stable island in phase space. Due to the unstable periodic orbits of theKAM-structure, the driven barrier is a chaotic scatterer and shows stickinessof scattering trajectories in the vicinity of the stable island. Thetransmission function of a suitably prepared ensemble yields results which arevery similar to tunneling resonances in the quantum mechanical regime. However,the origin of these resonances is different in the classical regime.

Dynamical trapping and chaotic scattering of the harmonically driven barrier