Flip and Neimark-Sacker Bifurcations in a Coupled Logistic Map System
Chaotic Dynamics
2020-05-19 v1 Dynamical Systems
Abstract
In this paper we consider a system of strongly coupled logistic maps involving two parameters. We classify and investigate the stability of its fixed points. A local bifurcation analysis of the system using Center Manifold is undertaken and then supported by numerical computations.This reveals the existence of reverse flip and Neimark-Sacker bifurcations.
Keywords
Cite
@article{arxiv.2005.08698,
title = {Flip and Neimark-Sacker Bifurcations in a Coupled Logistic Map System},
author = {A. Mareno and L. Q. English},
journal= {arXiv preprint arXiv:2005.08698},
year = {2020}
}
Comments
17 pages, 9 figures