  Extreme events are unusual and rare large-amplitude fluctuations that occur
can unexpectedly in nonlinear dynamical systems. Events above the extreme event
threshold of the probability distribution of a nonlinear process characterize
extreme events. Different mechanisms for the generation of extreme events and
their prediction measures have been reported in the literature. Based on the
properties of extreme events, such as rare in frequency of occurrence and
extreme in amplitude, various studies have shown that extreme events are both
linear and nonlinear in nature. Interestingly, in this work, we report on a
special class of extreme events which are nonchaotic and nonperiodic. These
nonchaotic extreme events appear in between the quasi-periodic and chaotic
dynamics of the system. We report the existence of such extreme events with
various statistical measures and characterization techniques.
