  We investigate the temporal dynamics of the Ikeda Map with Balanced Gain and
Loss and in the presence of feedback loops with saturation nonlinearity. From
the bifurcation analysis, we find that the temporal evolution of optical power
undergoes period quadrupling at the exceptional point (EP) of the system and
beyond that, chaotic dynamics emerge in the system and this has been further
corroborated from the Largest Lyapunov Exponent (LLE) of the model. For a
closer inspection, we analyzed the parameter basin of the system, which further
leads to our inference that the Ikeda Map with Balanced Gain and Loss exhibits
the emergence of chaotic dynamics beyond the exceptional point (EP).
Furthermore, we find that the temporal dynamics beyond the EP regime leads to
the onset of Extreme Events (EE) in this system via attractor merging crisis.
