中文

Periodic orbits in outer billiards

动力系统 2007-05-23 v2 数学物理 math.MP

摘要

It is shown that the set of 4-period orbits in outer billiard with piecewise smooth convex boundary has an empty interior, provided that no four corners of the boundary form a parallelogram.

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引用

@article{arxiv.math/0608529,
  title  = {Periodic orbits in outer billiards},
  author = {Alexander Tumanov and Vadim Zharnitsky},
  journal= {arXiv preprint arXiv:math/0608529},
  year   = {2007}
}