Surrng Arnold's Web Typeset Using Revt E X 1
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چکیده
The free motion of a rigid one-dimensional stick colliding elastically within an innnitely massive circular wall is rst 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.
منابع مشابه
Typeset Using Revt E X 1
The HQET/NRQCD Lagrangian is computed to order α/m3. The computation is performed using dimensional regularization to regulate the ultraviolet and infrared divergences. The results are consistent with reparametrization invariance to order 1/m3. Some subtleties in the matching conditions for NRQCD are discussed. Typeset using REVTEX 1
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تاریخ انتشار 1997