We review recent results from studies of the dynamics of classical Yan
g-Mills fields on a lattice. We discuss the numerical techniques emplo
yed in solving the classical lattice Yang-Mills equations in real time
, and present results exhibiting the universal chaotic behavior of non
-abelian gauge theories. The complete spectrum of Lyapunov exponents i
s determined for the gauge group SU(2). We survey results obtained for
the SU(3) gauge theory and other nonlinear field theories. We also di
scuss the relevance of these results to the problem of thermalization
in gauge theories.