Modal selection in oscillator model equations with two-mode nonresonant coupling

We present a revised criterion for the double-mode pulsation in oscillator model equations with two-mode nonresonant coupling. By applying the criterion, we demonstrate that there are four cases, namely, mode 0-only, mode 1-only, either-or, and double-mode ones on limiting amplitude space. We also show that models with evolutionary masses are preferable for double-mode pulsations. Moreover, we study numerically modal selection properties of the oscillator model equations corresponding to various limiting amplitudes. The results show the suggested criterion to be useful for prediction of modal selection properties. Some examples of the phase-locking behaviour are also shown.