Limit cycle behavior has been observed in past transonic nutter calcul
ations by the authors, using a two degree-of-freedom typical section m
odel coupled to an unsteady Euler equations solver. In this article, t
he structural nonlinearity of freeplay has been added to the typical s
ection model, and its effects on the dynamic stability problem are ass
essed. In addition, limit cycle behavior in the swept-wing model of Is
ogai is demonstrated and related to the observed presence of multiple
flutter points in the transonic dip region.