English

Dynamics of piecewise translation maps

Dynamical Systems 2017-08-22 v2

Abstract

In this paper, we introduce a generalized piecewise translation map on the Euclidean space. We provide a special case when this map is always of finite type. For a finite type map in this case, we form conjectures on the semi-continuity of the attractor. Moreover, we also provide some conjectures and pictures on piecewise translations on a two dimensional torus.

Keywords

Cite

@article{arxiv.1610.04700,
  title  = {Dynamics of piecewise translation maps},
  author = {Sang Truong},
  journal= {arXiv preprint arXiv:1610.04700},
  year   = {2017}
}
R2 v1 2026-06-22T16:21:44.168Z