Nonlinear Dynamics Associated with a Model of Vector Four-Wave Mixing

The nonlinear dynamics of doubly-degenerate vector four-wave mixing (FWM) are studied analytically and numerically, in phase space and in Stokes space. Depending on the initial conditions, vector FWM can evolve aperiodically or periodically, but not chaotically. The dynamics of vector FWM are similar to, but richer than, the dynamics of scalar FWM.