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

A. Mareno and L. Q. English

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-14

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:4103606

DOI: 10.1155/2020/4103606

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