Existence and Stability of 3-Cycles in Quadratic Maps
Dynamical Systems
2026-01-22 v1
Abstract
For a discrete dynamical system on generated by a quadratic function, we show, using elementary computations, that the existence, number, and stability of 3-cycles are determined by a single parameter depending on the coefficients of the function.
Cite
@article{arxiv.2601.14736,
title = {Existence and Stability of 3-Cycles in Quadratic Maps},
author = {Dan Comănescu},
journal= {arXiv preprint arXiv:2601.14736},
year = {2026}
}