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

Published 18 May 2020 in nlin.CD and math.DS | (2005.08698v1)

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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