Recent studies have shown interest in the evolution to steady nonlinear pulsation in stellar models. The simplest description is nonresonant interaction between the fundamental and one of its overtones, if one is only interested in the behaviour of a few longlived modes. The generic forni of coupled-mode equations is not dependent upon a particular stellar model, although
the precise determination of the coupling constants for a given stellar model will ultimately be very involved. Qualitative
ideas about the eventual evolution of the mode energies give different scenarios, depending mainly on the nonlinear coupling
constants and the linear growth rates, if the latter are both positive. According to one scenario, a double-mode pulsator is possible. It is not necessary that all coupling constants be negative, if only the model is well behaved enough in excludinq unbounded solutions. With a linearly stable fundamental and a stable overtone another scenario shovys a further possibility for a double-mode pulsator, if one of the cross coupling constants is positive, so that the overtone nonlinearly grows before saturating. Such findings show the need for additional theoretical and numerical modelling and a cautious discussion thereof.