  The dynamics of a bouncing ball model under the influence of dissipation is
investigated by using a two dimensional nonlinear mapping. When high
dissipation is considered, the dynamics evolves to different attractors. The
evolution of the basins of the attracting fixed points is characterized, as we
vary the control parameters. Crises between the attractors and their boundaries
are observed. We found that the multiple attractors are intertwined, and when
the boundary crisis between their stable and unstable manifolds occur, it
creates a successive mechanism of destruction for all attractors originated by
the sinks. Also, an impact physical crises is setup, and it may be useful as a
mechanism to reduce the number of attractors in the system.
