DYNAMICAL CHAOS IN NON-ABELIAN CHERN-SIMONS-HIGGS THEORIES

We examine the dynamical behavior of non-Abelian Chem-Simons-Higgs sys tems. Using a Painleve analysis we show that the pure SU(2) Chem-Simon s-Higgs system, with spatially homogeneous fields, is in general nonin tegrable. With the addition of a kinetic energy term for the Yang-Mill s field, the system remains nonintegrable. We explore the phase spaces for both systems and exhibit plots which show interesting behavior ra nging from regular to chaotic. We also calculate the Lyapunov function s to show that the maximal exponents are positive. The variations of t he exponents with respect to various parameters are also exhibited.