Dynamical chaos in non-Abelian Chern-Simons-Higgs theories

We examine the dynamical behavior of non-Abelian Chern-Simons-Higgs systems. Using a Painlevé analysis we show that the pure SU(2) Chern-Simons-Higgs system, with spatially homogeneous fields, is in general nonintegrable. With the addition of a kinetic energy term for the Yang-Mills field, the system remains nonintegrable. We explore the phase spaces for both systems and exhibit plots which show interesting behavior ranging from regular to chaotic. We also calculate the Lyaounov functions to show that the maximal exponents are positive. The variations of the exponents with respect to various parameters are also exhibited. © 1994 The American Physical Society.