arXiv:1706.03882 Abstract | arXiv Analytics

arXiv:1706.03882 [math.DS]Abstract References Reviews Resources

Scarcity of periodic orbits in outer billiards

Published 2017-06-13Version 1

We give a simple proof of our previous result with V. Zharnitsky that the set of period 4 orbits in planar outer billiard with piecewise smooth convex boundary has empty interior, provided that no four corners of the boundary form a parallelogram. We also obtain results on period 5 and 6 orbits.

Comments: 12 pages

Categories: math.DS

Subjects: 37D50, 37C25

Keywords: periodic orbits, planar outer billiard, piecewise smooth convex boundary, simple proof, boundary form

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