The paper “The effects of time-dependent dissipation on the basins of attraction for the pendulum with oscillating support“, co-authored by James Wright, Michele Bartuccelli, and Guido Gentile, has been accepted for publication in the journal Nonlinear Dynamics.  The paper considers a pendulum with vertically oscillating support and time-dependent damping coefficient which varies until reaching a finite final value. Although it is the final value which determines which attractors eventually exist, the sizes of the corresponding basins of attraction are found to depend strongly on the full evolution of the dissipation.  The published version of the article can be found here.