The dynamics of a forced coupled network of active elements

► A general system of forced coupled oscillators can be reduced to a system of scalar phase equations. ► Forcing at twice the intrinsic oscillation frequency yields an antiphase solution. ► The antiphase state is stable for coupling below a threshold, calculated under certain conditions. ► Above-threshold coupling gives traveling waves in which all elements adopt the same phase. ► In the continuum limit all coupling strengths give traveling waves, with speed that we can estimate.