Cycles of the logistic map
Computational Physics
2015-03-13 v2 Dynamical Systems
Abstract
The onset and bifurcation points of the -cycles of a polynomial map are located through a characteristic equation connecting cyclic polynomials formed by periodic orbit points. The minimal polynomials of the critical parameters of the logistic, H\'enon, and cubic maps are obtained for up to 13, 9, and 8, respectively.
Cite
@article{arxiv.1204.0546,
title = {Cycles of the logistic map},
author = {Cheng Zhang},
journal= {arXiv preprint arXiv:1204.0546},
year = {2015}
}
Comments
37 pages, 4 figures