The extended bifurcation analysis (EBA) technique has been recently proposed for the bifurcation analysis of dynamical systems with constrained equilibrium states. In this paper, the EBA technique is used to investigate non-linear behaviour of an aircraft in constrained roll manoeuvres. A comparative performance analysis of the aircraft in three roll manoeuvres, viz. zero sideslip roll, velocity vector roll, and roll manoeuvre with a linear aileron-rudder interconnect (ARI), has been carried out. Selective numerical simulations are carried out to supplement the information obtained from bifurcation analysis.