Rupak Chatterjee and A.D. Jackson
SURFING ARNOLD'S WEB
(34K, LaTex)

ABSTRACT.  The free motion of a rigid one-dimensional stick colliding elastically
within an infinitely massive circular wall is first shown to be 
equivalent to the three-dimensional motion of a billiard ball within a 
spiral column and then mapped onto a two-dimensional billiard problem
with a rotating billiard wall.  Indications that such a system has 
chaotic orbits and can possess integrable orbits is provided
through the use of projected Poincar\'{e} sections.  When chaotic and 
integrable orbits co-exist, the chaotic trajectories appear in the form 
of Arnold's web.  We also consider the limit of a stick of zero length 
in which the system becomes integrable.