Classical Yang-Mills solutions and iterative maps

We study the nonlinear and long-term stability of a constant E field in a Yang-Mills theory by examining the class of solutions discovered by Baseyan et al. Using adiabatic invariance, we are able to relate the long-term behavior of the solution to that of an iterative map. We find that the solution is usually chaotic and goes through an endless sequence of seemingly random flips of dominant isospin directions. By a proper choice of initial conditions, we are able to construct two classes of non-self-dual (presumably unstable) periodic solutions. We present the first-few solutions graphically.