  This work numerically examines the temporal and spectral properties of a
quadratic map. The quadratic map described in this study has quadratic
non-linearity, and its theoretical analysis poses a challenge. Additionally,
this map can be used for a fixed parameter value in chaos-based communication
systems. Therefore, it is important to understand and, if possible, control the
Power Spectral Density (PSD) generated by its signals. In practical
communication systems, the bandwidth is limited, making it crucial to
understand the spectral formatting of the employed signals.
