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Ulrike Feudel, Celso Grebogi, Brian R. Hunt, and James A. Yorke

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Phys. Rev. E 54 (1996), 71-81.
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We study the qualitative behavior of a single mechanical rotor with a
small amount of damping. This system may possess an arbitrarily large
number of coexisting periodic attractors if the damping is small
enough. The large number of stable orbits yields a complex structure
of closely interwoven basins of attraction, whose boundaries fill
almost the whole state space. Most of the attractors observed have low
periods, because high period stable orbits generally have basins too
small to be detected. We expect the complexity described here to be
even more pronounced for higher-dimensional systems, like the double
rotor, for which we find more than 1000 coexisting low-period periodic
attractors.

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*Last updated: May 31, 1998*