  The Lyapunov exponent is well-known in deterministic dynamical systems as a
measure for quantifying chaos and detecting coherent regions in physically
evolving systems. In this Letter, we show how the Lyapunov exponent can be
unified with stochastic sensitivity (which quantifies the uncertainty of an
evolving uncertain system whose initial condition is certain) within a finite
time uncertainty quantification framework in which both the dynamics and the
initial condition of a continuously evolving $ n $-dimensional state variable
are uncertain.
