  We investigate the temporal dynamics of the PT-Symmetric nonlinear
oscillators in the presence of Duffing nonlinearity for two forms of oscillator
configuration. In the former, we consider two oscillator coupled to each other.
One oscillator is amplified and the other is attenuated. From the bifurcation
analysis, we find that the temporal evolution of oscillators exhibit the
transition from quasiperiodic to chaotic dynamics. This has been corroborated
by the maximal Lyapunov exponent of the system. Furthermore, on investigating
the correlation of the time-series using the Pearson's correlation coefficient,
it is found that the chaotic system is anti-phase synchronized, whereas the
quasiperiodic is not synchronized in any form. The parametric regime where this
transition has been observed is from the Unbroken PT regime to the Broken PT
regime. Similarly, in the latter configuration with two amplified oscillators
coupled to two attenuated oscillators, a similar transition has been observed.
But in the neighbourhood of the Exceptional Point (EP) of the system, the
system is shown to exhibit in-phase synchronized dynamics as is evident from
the correlation analysis.
