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Flip and Neimark-Sacker bifurcations in a coupled logistic map system - MaRDI portal

Flip and Neimark-Sacker bifurcations in a coupled logistic map system (Q2194596)

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Flip and Neimark-Sacker bifurcations in a coupled logistic map system
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    Flip and Neimark-Sacker bifurcations in a coupled logistic map system (English)
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    26 August 2020
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    Summary: 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.
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