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

الملخص EN

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.