Recently it has been shown that there are chaotic attractors whose basins are such that every point in the attractor’s basin has pieces of another attractor’s basin arbitrarily nearby (the basin is ‘‘riddled’’ with holes). Here we report quantitative theoretical results for such basins and compare with numerical experiments on a simple physical model.

• Received 30 July 1993

DOI:https://doi.org/10.1103/PhysRevLett.71.4134