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A Geometric Dynamical System with Relation to Billiards by Everett, Samuel is a scholarly article available to read on EtoBox.

What is A Geometric Dynamical System with Relation to Billiards about?

We introduce a geometric dynamical system where iteration is defined as a cycling composition of different maps acting on a space composed of three or more lines in $\mathbb{R}^2$. This system is motivated by the dynamics of iterated function systems, as well as billiards with modified reflection laws. We provide conditions under which this dynamical system generates periodic orbits, and use this result to prove the existence of closed nonsmooth curves over $\mathbb{R}^2$ which satisfy particular structural constraints with respect to a space of intersecting lines in the plane.

Author

Everett, Samuel

Published

2021

Language

EN