Non-autonomous 2-periodic Gumovski-Mira difference equations
Dynamical Systems
2013-07-26 v1
Abstract
We consider two types of non-autonomous 2-periodic Gumovski-Mira difference equations. We show that while the corresponding autonomous recurrences are conjugated, the behavior of the sequences generated by the 2-periodic ones differ dramatically: in one case the behavior of the sequences is simple (integrable) and in the other case it is much more complicated (chaotic). We also present a global study of the integrable case that includes which periods appear for the recurrence.
Cite
@article{arxiv.1106.0318,
title = {Non-autonomous 2-periodic Gumovski-Mira difference equations},
author = {Anna Cima and Armengol Gasull and Victor Mañosa},
journal= {arXiv preprint arXiv:1106.0318},
year = {2013}
}
Comments
20 pages, 11 figures