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arXiv · 2005.08698

Flip and Neimark-Sacker Bifurcations in a Coupled Logistic Map System

A. Mareno·L. Q. English
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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.

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A. Mareno, L. Q. English. 2020-05-18. Flip and Neimark-Sacker Bifurcations in a Coupled Logistic Map System. https://arxiv.org/abs/2005.08698

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