  The dynamic region of out-of-time-ordered correlators (OTOCs) is a valuable
discriminator of chaos in classical and semiclassical systems, as it captures
the characteristic exponential growth. However, in spin systems, it does not
reliably quantify chaos, exhibiting similar behavior in both integrable and
chaotic systems. Instead, we leverage the saturation behavior of OTOCs as a
means to differentiate between chaotic and integrable regimes. We use
integrable and nonintegrable quenched field Floquet systems to describe this
discriminator. In the integrable system, the saturation region of OTOCs
exhibits oscillatory behavior, whereas, in the chaotic system, it shows exact
saturation i.e., system gets thermalized. To gain a clearer understanding of
the oscillations, we calculate the inverse participation ratio (IPR) for the
normalized Fourier spectrum of OTOC. In order to further substantiate our
findings, we propose the nearest-neighbor spacing distribution (NNSD) of
time-dependent unitary operators. This distribution effectively differentiates
chaotic and regular regions, corroborating the outcomes derived from the
saturation behavior of OTOC.
