Discrete Dynamics in Nature and Society
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.
Mareno, A., and L.Q. English. "Flip and Neimark–Sacker Bifurcations in a Coupled Logistic Map System." Discrete Dynamics in Nature and Society 2020 (2020): Article ID 4103606, 14 pp. https://www.hindawi.com/journals/ddns/2020/4103606/