Chaos-order transition in pure SU(2) Yang-Mills theory

A chaos-order transition is found in the long wave limit of the classical pure SU(2) Yang-Mills theory in 2+1 dimensions. The discussion is based upon the estimation of the largest Lyapunov exponent and the power spectra. In our choice of a scale, the bifurcation parameter is the angular momentum M of the system. A pure regular phase occurs when |M|≳3.6. A pure chaotic phase occurs when |M|≲1.7. In the intermediate region, regular/chaotic orbits have a fractal-like distribution in the phase space.