Alternating chaotic and periodic dynamics in Chern-Simons-Higgs theory with scalar magnetic interaction

The dynamical behavior of a Chern-Simons-Higgs system is studied for the sp atially homogeneous case. The model, described by interacting gauge and sca lar fields includes two parity and time violating terms: the Chern-Simons a nd the scalar magnetic interaction. For the pure Chern-Simons part of the t heory the equations of motion are integrable. In general, however, the mode l system exhibits an interesting pattern of chaos to order transitions as t he scalar magnetic moment is varied. The system dynamics are analyzed using a combination of standard techniques, such as phase space portraits, Lyapu nov exponents, and Fourier spectra. (C) 2000 American Institute of Physics. [S1054-1500(00)01602-5].