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

A. Mareno, L. Q. English

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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 theory is undertaken and then supported by numerical computations. This reveals the existence of a flip and Neimark-Sacker bifurcations.

Original languageEnglish (US)
Article number4103606
JournalDiscrete Dynamics in Nature and Society
Volume2020
DOIs
StatePublished - Jan 2020

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation

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