On a parametrized difference equation connecting chaotic and integrable mappings
Chaotic Dynamics
2021-07-20 v1
Abstract
We present a new difference equation with two parameters c in [0,1] and A in [1,4]. This equation is equivalent to the logistic mapping if c=1 and the Morishita mapping if c=0, which are the well-known chaotic and integrable mappings, respectively. We first consider the case A=4 and investigate the time evolution by changing the parameter c in [0,1]. We next change both two parameters A in [3,4] and c in [0,1] and present the corresponding 3D bifurcation diagram.
Cite
@article{arxiv.2107.08224,
title = {On a parametrized difference equation connecting chaotic and integrable mappings},
author = {Tomoko Nagai and Atsushi Nagai and Hiroko Yamaki and Kana Yanuma},
journal= {arXiv preprint arXiv:2107.08224},
year = {2021}
}
Comments
8 pages, 5 figures, 2 tables