We develop a model and numerical method to study the large-amplitude flutter of rectangular membranes (of zero bending rigidity) that shed trailing vortex-sheet wake in three-dimensional (3-D) inviscid fluid flow. apply small initial perturbations track their decay or growth steady-state motions. For 12 combinations boundary conditions at membrane edges we compute stability thresholds subsequen...

Let F (z) = z−H(z) with order o(H(z)) ≥ 1 be a formal map from C to C and G(z) the formal inverse map of F (z). We first study the deformation Ft(z) = z − tH(z) of F (z) and its formal inverse Gt(z) = z + tNt(z). (Note that Gt=1(z) = G(z) when o(H(z)) ≥ 2.) We show that Nt(z) is the unique power series solution of a Cauchy problem of a PDE, from which we derive a recurrent formula for Gt(z). Se...