Critical curves of a piecewise linear map
Dynamical Systems
2021-08-11 v1
Abstract
We study the parameter space of a family of planar maps, which are linear on each of the right and left half-planes. We consider the set of parameters for which every orbit recurs to the boundary between half-planes. These parameters consist of algebraic curves, determined by the symbolic dynamics of the itinerary that connects boundary points. We study the algebraic and geometrical properties of these curves, in relation with such a symbolic dynamics.
Keywords
Cite
@article{arxiv.2104.07197,
title = {Critical curves of a piecewise linear map},
author = {John A. G. Roberts and Asaki Saito and Franco Vivaldi},
journal= {arXiv preprint arXiv:2104.07197},
year = {2021}
}
Comments
36 pages, 4 figures