In this talk we present computational techniques for approximation of
Lyapunov exponents based upon smooth matrix factorizations and some
potential applications of these techniques to earth system processes.
Lyapunov exponents characterize stability properties of time dependent
solutions to differential equations. We introduce methods for approximation
of Lyapunov exponents, review results on the sensitivity of Lyapuonv exponents
to perturbations, describe codes we have developed for their computation, and